Abstract

We consider theoretically nonlinear effects in a semiconductor quantum well embedded inside a photonic microcavity. Two-photon absorption by a 2p exciton state is considered and investigated; the matrix element of two-photon absorption is calculated. We compute the emission spectrum of the sample and demonstrate that under coherent pumping the nonlinearity of the two photon absorption process gives rise to bistability.

© 2013 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
    [CrossRef] [PubMed]
  2. R. Balili, V. Hartwell, D. Snoke, L. Pfeiffer, and K. West, “Bose-Einstein condensation of microcavity polaritons in a trap,” Science316(5827), 1007–1010 (2007).
    [CrossRef] [PubMed]
  3. C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
    [CrossRef] [PubMed]
  4. A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
    [CrossRef] [PubMed]
  5. A. Amo, J. Lefrere, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdre, E. Giacobino, and A. Bramati, “Superfluidity of polaritons in semiconductor microcavities,” Nature Phys., 5, 805–810 (2009).
    [CrossRef]
  6. I. Carusotto and C. Ciuti, “Probing microcavity polariton superfluidity through resonant Rayleigh scattering,” Phys. Rev. Lett.,93(16), 166401 (2004).
    [CrossRef]
  7. K. G. Lagoudakis, B. Pietka, M. Wouters, R. Andre, and B. Deveaud-Pledran, “Coherent oscillations in an exciton-polariton Josephson junction,” Phys. Rev. Lett.105(12), 120403 (2010).
    [CrossRef] [PubMed]
  8. K. G. Lagoudakis, T. Ostatnicky, A. V. Kavokin, Y. G. Rubo, R. Andre, and B. Deveaud-Pledran, “Observation of half-quantum vortices in an exciton-polariton condensate,” Science13(5955), 974–976 (2009).
    [CrossRef]
  9. K. G. Lagoudakis, F. Manni, B. Pietka, M. Wouters, T. C. H. Liew, V. Savona, A. V. Kavokin, R. Andre, and B. Deveaud-Pledran, “Probing the dynamics of spontaneous quantum vortices in polariton superfluids,” Phys. Rev. Lett.106(11), 115301 (2011).
    [CrossRef] [PubMed]
  10. G. Nardin, G. Grosso, Y. Leger, B. Pietka, F. Morier-Genoud, and B. Deveaud-Pledran, “Hydrodynamic nucleation of quantized vortex pairs in a polariton quantum fluid,” Nature Phys.7, 635–641 (2011).
    [CrossRef]
  11. A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
    [CrossRef] [PubMed]
  12. G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, “Soliton instabilities and vortex street formation in a polariton quantum fluid,” Phys. Rev. Lett.107(24), 245301 (2011).
    [CrossRef]
  13. M. Sich, D. N. Krizhanovskii, M. S. Skolnick, A. V. Gorbach, R. Hartley, D. V. Skryabin, E. A. Cerda-Mndez, K. Biermann, R. Hey, and P. V. Santoset, “Observation of bright polariton solitons in a semiconductor microcavity,” Nature Photon.6, 50–55 (2012).
    [CrossRef]
  14. R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
    [CrossRef]
  15. F. Manni, K. G. Lagoudakis, T. C. H. Liew, R. Andre, and B. Deveaud-Pledran, “Spontaneous pattern formation in a polariton condensate,” Phys. Rev. Lett.107(10), 106401 (2011).
    [CrossRef] [PubMed]
  16. G. Christmann, G. Tosi, N. G. Berloff, P. Tsotsis, P. S. Eldridge, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, “Polariton ring condensates and sunflower ripples in an expanding quantum liquid,” Phys. Rev. B85(23), 235303 (2012).
    [CrossRef]
  17. E. Kammann, T. C. H. Liew, H. Ohadi, P. Cilibrizzi, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, “Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers,” Phys. Rev. Lett.109(3), 036404 (2012).
    [CrossRef] [PubMed]
  18. S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
    [CrossRef] [PubMed]
  19. Ayan Das, Junseok Heo, Marc Jankowski, Wei Guo, Lei Zhang, Hui Deng, and Pallab Bhattacharya, “Room temperature ultralow threshold GaN nanowire polariton laser,” Phys. Rev. Lett.107(6), 066405 (2011).
    [CrossRef] [PubMed]
  20. R. Schmidt-Grund, B. Rheinlnder, C. Czekalla, G. Benndorf, H. Hochmut, A. Rahm, M. Lorenz, and M. Grundmann, “ZnO based planar and micropillar resonators,” Superlattic. Microstruct.41(5–6), 360–363 (2007).
    [CrossRef]
  21. S. Kena-Cohen and S. R. Forrest, “Room-temperature polariton lasing in an organic single-crystal microcavity,” Nature Photonics4, 371–375 (2010).
    [CrossRef]
  22. T. C. H. Liew, I. A. Shelykh, and G. Malpuech, “Polaritonic devices,” Physica E43(9), 1543–1568 (2011).
    [CrossRef]
  23. K. V. Kavokin, M. A. Kaliteevski, R. A. Abram, A. V. Kavokin, S. Sharkova, and I. A. Shelykh, “Stimulated emission of terahertz radiation by exciton-polariton lasers,” Appl. Phys. Lett.97(20), 201111 (2010).
    [CrossRef]
  24. A. V. Kavokin, I. A. Shelykh, T. Taylor, and M. M. Glazov, “Vertical cavity surface emitting terahertz laser,” Phys. Rev. Lett.108(19), 197401 (2012).
    [CrossRef] [PubMed]
  25. C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, “Observation of the coupled exciton-photon mode splitting in a semiconductor quantum microcavity,” Phys. Rev. Lett.69(23), 3314–3317 (1992).
    [CrossRef] [PubMed]
  26. I. G. Savenko, O. V. Kibis, and I. A. Shelykh, “Asymmetric quantum dot in a microcavity as a nonlinear optical element,” Phys. Rev. A85(5), 053818 (2012).
    [CrossRef]
  27. A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford University, (2007)).
    [CrossRef]
  28. V. D. Kulakovskii, A. I. Tartakovskii, D. N. Krizhanovskii, A. Armitage, J. S. Roberts, and M. S. Skolnick, “Two-dimensional excitonic polaritons and their interaction,” Phys. Usp.43(8), 853–857 (2000).
    [CrossRef]
  29. N. A. Gippius, S. G. Tikhodeev, V. D. Kulakovskii, D. N. Krizhanovskii, and A. I. Tartakovskii, “Nonlinear dynamics of polariton scattering in semiconductor microcavity: Bistability vs. stimulated scattering,” Europhys. Lett.67(6), 997 (2004).
    [CrossRef]
  30. D. M. Whittaker, “Effects of polariton-energy renormalization in the microcavity optical parametric oscillator,” Phys. Rev. B71(11), 115301 (2005).
    [CrossRef]
  31. A. Baas, J. P. Karr, M. Romanelli, A. Bramati, and E. Giacobino, “Optical bistability in semiconductor microcavities in the nondegenerate parametric oscillation regime: Analogy with the optical parametric oscillator,” Phys. Rev. B70(16), 161307(R) (2004).
    [CrossRef]
  32. N. A. Gippius, I. A. Shelykh, D. D. Solnyshkov, S. S. Gavrilov, Yuri G. Rubo, A. V. Kavokin, S. G. Tikhodeev, and G. Malpuech, “Polarization multistability of cavity polaritons,” Phys. Rev. Lett.98(23), 236401 (2007).
    [CrossRef] [PubMed]
  33. T. K. Paraïso, M. Wouters, Y. Léger, F. Morier-Genoud, and B. Deveaud-Plédran, “Multistability of a coherent spin ensemble in a semiconductor microcavity,” Nature Mater.9, 655–660 (2010).
    [CrossRef]
  34. D. Bajoni, E. Semenova, A. Lematre, S. Bouchoule, E. Wertz, P. Senellart, S. Barbay, R. Kuszelewicz, and J. Bloch, “Optical bistability in a GaAs-based polariton diode,” Phys. Rev. Lett.101(26), 266402 (2008).
    [CrossRef] [PubMed]
  35. T. C. H. Liew, A. V. Kavokin, and I. A. Shelykh, “Optical circuits based on polariton neurons in semiconductor microcavities,” Phys. Rev. Lett.100(11), 116401 (2008).
    [PubMed]
  36. A. Amo, T. H. C. Liew, C. Adrados, R. Houdre, E. Giacobino, A. V. Kavokin, and A. Bramati, “Exciton-polariton spin switches,” Nature Photon.4, 361–366 (2010).
    [CrossRef]
  37. D. Sarkar, S. S. Gavrilov, M. Sich, J. H. Quilter, R. A. Bradley, N. A. Gippius, K. Guda, V. D. Kulakovskii, M. S. Skolnick, and D. N. Krizhanovskii, “Polarization bistability and resultant spin rings in semiconductor microcavities,” Phys. Rev. Lett.105(21), 216402 (2010).
    [CrossRef]
  38. C. Adrados, A. Amo, T. C. H. Liew, R. Hivet, R. Houdr, E. Giacobino, A. V. Kavokin, and A. Bramati, “Spin rings in bistable planar semiconductor microcavities,” Phys. Rev. Lett.105(21), 216403 (2010).
    [CrossRef]
  39. T. C. H. Liew, A. V. Kavokin, and I. A. Shelykh, “Optical circuits based on polariton neurons in semiconductor microcavities,” Phys. Rev. Lett.101(1), 016402 (2008).
    [CrossRef] [PubMed]
  40. T. C. H. Liew, A. V. Kavokin, T. Ostatnický, M. Kaliteevski, I. A. Shelykh, and R. A. Abram, “Exciton-polariton integrated circuits,” Phys. Rev. B82(3), 033302 (2010).
    [CrossRef]
  41. I. G. Savenko, I. A. Shelykh, and M. A. Kaliteevski, “Nonlinear terahertz emission in semiconductor microcavities,” Phys. Rev. Lett.107(2), 027401 (2011).
    [CrossRef] [PubMed]
  42. F. Tassone and Y. Yamamoto, “Exciton-exciton scattering dynamics in a semiconductor microcavity and stimulated scattering into polaritons,” Phys. Rev. B59(16), 10830–10842 (1999).
    [CrossRef]
  43. I. A. Shelykh, A. V. Kavokin, Yuri G. Rubo, T. C. H. Liew, and G. Malpuech, “Polariton polarization-sensitive phenomena in planar semiconductor microcavities”, Semicond. Sci. Technol.25(1), 013001 (2010).
    [CrossRef]
  44. A. Verger, C. Ciuti, and I. Carusotto, “Polariton quantum blockade in a photonic dot,” Phys. Rev. B73(19), 193306 (2006).
    [CrossRef]
  45. B. C. Jacobs, T. B. Pittman, and J. D. Franson, “Generation of entangled photon holes using quantum interference,” Phys. Rev. A74(4), 010303()R (2006).
  46. X. L. Yang, S. H. Guo, F. T. Chan, K. W. Wong, and W. Y. Ching, “Analytic solution of a two-dimensional hydrogen atom. I. Nonrelativistic theory,” Phys.Rev. A43(3), 1186–1196 (1991).
    [CrossRef] [PubMed]

2012 (6)

M. Sich, D. N. Krizhanovskii, M. S. Skolnick, A. V. Gorbach, R. Hartley, D. V. Skryabin, E. A. Cerda-Mndez, K. Biermann, R. Hey, and P. V. Santoset, “Observation of bright polariton solitons in a semiconductor microcavity,” Nature Photon.6, 50–55 (2012).
[CrossRef]

R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
[CrossRef]

G. Christmann, G. Tosi, N. G. Berloff, P. Tsotsis, P. S. Eldridge, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, “Polariton ring condensates and sunflower ripples in an expanding quantum liquid,” Phys. Rev. B85(23), 235303 (2012).
[CrossRef]

E. Kammann, T. C. H. Liew, H. Ohadi, P. Cilibrizzi, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, “Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers,” Phys. Rev. Lett.109(3), 036404 (2012).
[CrossRef] [PubMed]

A. V. Kavokin, I. A. Shelykh, T. Taylor, and M. M. Glazov, “Vertical cavity surface emitting terahertz laser,” Phys. Rev. Lett.108(19), 197401 (2012).
[CrossRef] [PubMed]

I. G. Savenko, O. V. Kibis, and I. A. Shelykh, “Asymmetric quantum dot in a microcavity as a nonlinear optical element,” Phys. Rev. A85(5), 053818 (2012).
[CrossRef]

2011 (8)

T. C. H. Liew, I. A. Shelykh, and G. Malpuech, “Polaritonic devices,” Physica E43(9), 1543–1568 (2011).
[CrossRef]

Ayan Das, Junseok Heo, Marc Jankowski, Wei Guo, Lei Zhang, Hui Deng, and Pallab Bhattacharya, “Room temperature ultralow threshold GaN nanowire polariton laser,” Phys. Rev. Lett.107(6), 066405 (2011).
[CrossRef] [PubMed]

F. Manni, K. G. Lagoudakis, T. C. H. Liew, R. Andre, and B. Deveaud-Pledran, “Spontaneous pattern formation in a polariton condensate,” Phys. Rev. Lett.107(10), 106401 (2011).
[CrossRef] [PubMed]

K. G. Lagoudakis, F. Manni, B. Pietka, M. Wouters, T. C. H. Liew, V. Savona, A. V. Kavokin, R. Andre, and B. Deveaud-Pledran, “Probing the dynamics of spontaneous quantum vortices in polariton superfluids,” Phys. Rev. Lett.106(11), 115301 (2011).
[CrossRef] [PubMed]

G. Nardin, G. Grosso, Y. Leger, B. Pietka, F. Morier-Genoud, and B. Deveaud-Pledran, “Hydrodynamic nucleation of quantized vortex pairs in a polariton quantum fluid,” Nature Phys.7, 635–641 (2011).
[CrossRef]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, “Soliton instabilities and vortex street formation in a polariton quantum fluid,” Phys. Rev. Lett.107(24), 245301 (2011).
[CrossRef]

I. G. Savenko, I. A. Shelykh, and M. A. Kaliteevski, “Nonlinear terahertz emission in semiconductor microcavities,” Phys. Rev. Lett.107(2), 027401 (2011).
[CrossRef] [PubMed]

2010 (9)

T. K. Paraïso, M. Wouters, Y. Léger, F. Morier-Genoud, and B. Deveaud-Plédran, “Multistability of a coherent spin ensemble in a semiconductor microcavity,” Nature Mater.9, 655–660 (2010).
[CrossRef]

I. A. Shelykh, A. V. Kavokin, Yuri G. Rubo, T. C. H. Liew, and G. Malpuech, “Polariton polarization-sensitive phenomena in planar semiconductor microcavities”, Semicond. Sci. Technol.25(1), 013001 (2010).
[CrossRef]

T. C. H. Liew, A. V. Kavokin, T. Ostatnický, M. Kaliteevski, I. A. Shelykh, and R. A. Abram, “Exciton-polariton integrated circuits,” Phys. Rev. B82(3), 033302 (2010).
[CrossRef]

K. G. Lagoudakis, B. Pietka, M. Wouters, R. Andre, and B. Deveaud-Pledran, “Coherent oscillations in an exciton-polariton Josephson junction,” Phys. Rev. Lett.105(12), 120403 (2010).
[CrossRef] [PubMed]

K. V. Kavokin, M. A. Kaliteevski, R. A. Abram, A. V. Kavokin, S. Sharkova, and I. A. Shelykh, “Stimulated emission of terahertz radiation by exciton-polariton lasers,” Appl. Phys. Lett.97(20), 201111 (2010).
[CrossRef]

S. Kena-Cohen and S. R. Forrest, “Room-temperature polariton lasing in an organic single-crystal microcavity,” Nature Photonics4, 371–375 (2010).
[CrossRef]

A. Amo, T. H. C. Liew, C. Adrados, R. Houdre, E. Giacobino, A. V. Kavokin, and A. Bramati, “Exciton-polariton spin switches,” Nature Photon.4, 361–366 (2010).
[CrossRef]

D. Sarkar, S. S. Gavrilov, M. Sich, J. H. Quilter, R. A. Bradley, N. A. Gippius, K. Guda, V. D. Kulakovskii, M. S. Skolnick, and D. N. Krizhanovskii, “Polarization bistability and resultant spin rings in semiconductor microcavities,” Phys. Rev. Lett.105(21), 216402 (2010).
[CrossRef]

C. Adrados, A. Amo, T. C. H. Liew, R. Hivet, R. Houdr, E. Giacobino, A. V. Kavokin, and A. Bramati, “Spin rings in bistable planar semiconductor microcavities,” Phys. Rev. Lett.105(21), 216403 (2010).
[CrossRef]

2009 (3)

K. G. Lagoudakis, T. Ostatnicky, A. V. Kavokin, Y. G. Rubo, R. Andre, and B. Deveaud-Pledran, “Observation of half-quantum vortices in an exciton-polariton condensate,” Science13(5955), 974–976 (2009).
[CrossRef]

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

A. Amo, J. Lefrere, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdre, E. Giacobino, and A. Bramati, “Superfluidity of polaritons in semiconductor microcavities,” Nature Phys., 5, 805–810 (2009).
[CrossRef]

2008 (3)

T. C. H. Liew, A. V. Kavokin, and I. A. Shelykh, “Optical circuits based on polariton neurons in semiconductor microcavities,” Phys. Rev. Lett.101(1), 016402 (2008).
[CrossRef] [PubMed]

D. Bajoni, E. Semenova, A. Lematre, S. Bouchoule, E. Wertz, P. Senellart, S. Barbay, R. Kuszelewicz, and J. Bloch, “Optical bistability in a GaAs-based polariton diode,” Phys. Rev. Lett.101(26), 266402 (2008).
[CrossRef] [PubMed]

T. C. H. Liew, A. V. Kavokin, and I. A. Shelykh, “Optical circuits based on polariton neurons in semiconductor microcavities,” Phys. Rev. Lett.100(11), 116401 (2008).
[PubMed]

2007 (5)

N. A. Gippius, I. A. Shelykh, D. D. Solnyshkov, S. S. Gavrilov, Yuri G. Rubo, A. V. Kavokin, S. G. Tikhodeev, and G. Malpuech, “Polarization multistability of cavity polaritons,” Phys. Rev. Lett.98(23), 236401 (2007).
[CrossRef] [PubMed]

R. Balili, V. Hartwell, D. Snoke, L. Pfeiffer, and K. West, “Bose-Einstein condensation of microcavity polaritons in a trap,” Science316(5827), 1007–1010 (2007).
[CrossRef] [PubMed]

C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
[CrossRef] [PubMed]

R. Schmidt-Grund, B. Rheinlnder, C. Czekalla, G. Benndorf, H. Hochmut, A. Rahm, M. Lorenz, and M. Grundmann, “ZnO based planar and micropillar resonators,” Superlattic. Microstruct.41(5–6), 360–363 (2007).
[CrossRef]

S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
[CrossRef] [PubMed]

2006 (3)

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

A. Verger, C. Ciuti, and I. Carusotto, “Polariton quantum blockade in a photonic dot,” Phys. Rev. B73(19), 193306 (2006).
[CrossRef]

B. C. Jacobs, T. B. Pittman, and J. D. Franson, “Generation of entangled photon holes using quantum interference,” Phys. Rev. A74(4), 010303()R (2006).

2005 (1)

D. M. Whittaker, “Effects of polariton-energy renormalization in the microcavity optical parametric oscillator,” Phys. Rev. B71(11), 115301 (2005).
[CrossRef]

2004 (3)

A. Baas, J. P. Karr, M. Romanelli, A. Bramati, and E. Giacobino, “Optical bistability in semiconductor microcavities in the nondegenerate parametric oscillation regime: Analogy with the optical parametric oscillator,” Phys. Rev. B70(16), 161307(R) (2004).
[CrossRef]

N. A. Gippius, S. G. Tikhodeev, V. D. Kulakovskii, D. N. Krizhanovskii, and A. I. Tartakovskii, “Nonlinear dynamics of polariton scattering in semiconductor microcavity: Bistability vs. stimulated scattering,” Europhys. Lett.67(6), 997 (2004).
[CrossRef]

I. Carusotto and C. Ciuti, “Probing microcavity polariton superfluidity through resonant Rayleigh scattering,” Phys. Rev. Lett.,93(16), 166401 (2004).
[CrossRef]

2000 (1)

V. D. Kulakovskii, A. I. Tartakovskii, D. N. Krizhanovskii, A. Armitage, J. S. Roberts, and M. S. Skolnick, “Two-dimensional excitonic polaritons and their interaction,” Phys. Usp.43(8), 853–857 (2000).
[CrossRef]

1999 (1)

F. Tassone and Y. Yamamoto, “Exciton-exciton scattering dynamics in a semiconductor microcavity and stimulated scattering into polaritons,” Phys. Rev. B59(16), 10830–10842 (1999).
[CrossRef]

1992 (1)

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, “Observation of the coupled exciton-photon mode splitting in a semiconductor quantum microcavity,” Phys. Rev. Lett.69(23), 3314–3317 (1992).
[CrossRef] [PubMed]

1991 (1)

X. L. Yang, S. H. Guo, F. T. Chan, K. W. Wong, and W. Y. Ching, “Analytic solution of a two-dimensional hydrogen atom. I. Nonrelativistic theory,” Phys.Rev. A43(3), 1186–1196 (1991).
[CrossRef] [PubMed]

Abram, R. A.

K. V. Kavokin, M. A. Kaliteevski, R. A. Abram, A. V. Kavokin, S. Sharkova, and I. A. Shelykh, “Stimulated emission of terahertz radiation by exciton-polariton lasers,” Appl. Phys. Lett.97(20), 201111 (2010).
[CrossRef]

T. C. H. Liew, A. V. Kavokin, T. Ostatnický, M. Kaliteevski, I. A. Shelykh, and R. A. Abram, “Exciton-polariton integrated circuits,” Phys. Rev. B82(3), 033302 (2010).
[CrossRef]

Adrados, C.

A. Amo, T. H. C. Liew, C. Adrados, R. Houdre, E. Giacobino, A. V. Kavokin, and A. Bramati, “Exciton-polariton spin switches,” Nature Photon.4, 361–366 (2010).
[CrossRef]

C. Adrados, A. Amo, T. C. H. Liew, R. Hivet, R. Houdr, E. Giacobino, A. V. Kavokin, and A. Bramati, “Spin rings in bistable planar semiconductor microcavities,” Phys. Rev. Lett.105(21), 216403 (2010).
[CrossRef]

A. Amo, J. Lefrere, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdre, E. Giacobino, and A. Bramati, “Superfluidity of polaritons in semiconductor microcavities,” Nature Phys., 5, 805–810 (2009).
[CrossRef]

Amo, A.

R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
[CrossRef]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

C. Adrados, A. Amo, T. C. H. Liew, R. Hivet, R. Houdr, E. Giacobino, A. V. Kavokin, and A. Bramati, “Spin rings in bistable planar semiconductor microcavities,” Phys. Rev. Lett.105(21), 216403 (2010).
[CrossRef]

A. Amo, T. H. C. Liew, C. Adrados, R. Houdre, E. Giacobino, A. V. Kavokin, and A. Bramati, “Exciton-polariton spin switches,” Nature Photon.4, 361–366 (2010).
[CrossRef]

A. Amo, J. Lefrere, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdre, E. Giacobino, and A. Bramati, “Superfluidity of polaritons in semiconductor microcavities,” Nature Phys., 5, 805–810 (2009).
[CrossRef]

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

Andre, R.

K. G. Lagoudakis, F. Manni, B. Pietka, M. Wouters, T. C. H. Liew, V. Savona, A. V. Kavokin, R. Andre, and B. Deveaud-Pledran, “Probing the dynamics of spontaneous quantum vortices in polariton superfluids,” Phys. Rev. Lett.106(11), 115301 (2011).
[CrossRef] [PubMed]

F. Manni, K. G. Lagoudakis, T. C. H. Liew, R. Andre, and B. Deveaud-Pledran, “Spontaneous pattern formation in a polariton condensate,” Phys. Rev. Lett.107(10), 106401 (2011).
[CrossRef] [PubMed]

K. G. Lagoudakis, B. Pietka, M. Wouters, R. Andre, and B. Deveaud-Pledran, “Coherent oscillations in an exciton-polariton Josephson junction,” Phys. Rev. Lett.105(12), 120403 (2010).
[CrossRef] [PubMed]

K. G. Lagoudakis, T. Ostatnicky, A. V. Kavokin, Y. G. Rubo, R. Andre, and B. Deveaud-Pledran, “Observation of half-quantum vortices in an exciton-polariton condensate,” Science13(5955), 974–976 (2009).
[CrossRef]

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Andreoli, D.

R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
[CrossRef]

Arakawa, Y.

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, “Observation of the coupled exciton-photon mode splitting in a semiconductor quantum microcavity,” Phys. Rev. Lett.69(23), 3314–3317 (1992).
[CrossRef] [PubMed]

Armitage, A.

V. D. Kulakovskii, A. I. Tartakovskii, D. N. Krizhanovskii, A. Armitage, J. S. Roberts, and M. S. Skolnick, “Two-dimensional excitonic polaritons and their interaction,” Phys. Usp.43(8), 853–857 (2000).
[CrossRef]

Baas, A.

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

A. Baas, J. P. Karr, M. Romanelli, A. Bramati, and E. Giacobino, “Optical bistability in semiconductor microcavities in the nondegenerate parametric oscillation regime: Analogy with the optical parametric oscillator,” Phys. Rev. B70(16), 161307(R) (2004).
[CrossRef]

Bajoni, D.

D. Bajoni, E. Semenova, A. Lematre, S. Bouchoule, E. Wertz, P. Senellart, S. Barbay, R. Kuszelewicz, and J. Bloch, “Optical bistability in a GaAs-based polariton diode,” Phys. Rev. Lett.101(26), 266402 (2008).
[CrossRef] [PubMed]

Baldassarri Höger von Högersthal, G.

S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
[CrossRef] [PubMed]

Balili, R.

R. Balili, V. Hartwell, D. Snoke, L. Pfeiffer, and K. West, “Bose-Einstein condensation of microcavity polaritons in a trap,” Science316(5827), 1007–1010 (2007).
[CrossRef] [PubMed]

Ballarini, D.

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

Barbay, S.

D. Bajoni, E. Semenova, A. Lematre, S. Bouchoule, E. Wertz, P. Senellart, S. Barbay, R. Kuszelewicz, and J. Bloch, “Optical bistability in a GaAs-based polariton diode,” Phys. Rev. Lett.101(26), 266402 (2008).
[CrossRef] [PubMed]

Baumberg, J. J.

G. Christmann, G. Tosi, N. G. Berloff, P. Tsotsis, P. S. Eldridge, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, “Polariton ring condensates and sunflower ripples in an expanding quantum liquid,” Phys. Rev. B85(23), 235303 (2012).
[CrossRef]

S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
[CrossRef] [PubMed]

A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford University, (2007)).
[CrossRef]

Benndorf, G.

R. Schmidt-Grund, B. Rheinlnder, C. Czekalla, G. Benndorf, H. Hochmut, A. Rahm, M. Lorenz, and M. Grundmann, “ZnO based planar and micropillar resonators,” Superlattic. Microstruct.41(5–6), 360–363 (2007).
[CrossRef]

Berloff, N. G.

G. Christmann, G. Tosi, N. G. Berloff, P. Tsotsis, P. S. Eldridge, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, “Polariton ring condensates and sunflower ripples in an expanding quantum liquid,” Phys. Rev. B85(23), 235303 (2012).
[CrossRef]

Bhattacharya, Pallab

Ayan Das, Junseok Heo, Marc Jankowski, Wei Guo, Lei Zhang, Hui Deng, and Pallab Bhattacharya, “Room temperature ultralow threshold GaN nanowire polariton laser,” Phys. Rev. Lett.107(6), 066405 (2011).
[CrossRef] [PubMed]

Biermann, K.

M. Sich, D. N. Krizhanovskii, M. S. Skolnick, A. V. Gorbach, R. Hartley, D. V. Skryabin, E. A. Cerda-Mndez, K. Biermann, R. Hey, and P. V. Santoset, “Observation of bright polariton solitons in a semiconductor microcavity,” Nature Photon.6, 50–55 (2012).
[CrossRef]

Bloch, J.

R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
[CrossRef]

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

D. Bajoni, E. Semenova, A. Lematre, S. Bouchoule, E. Wertz, P. Senellart, S. Barbay, R. Kuszelewicz, and J. Bloch, “Optical bistability in a GaAs-based polariton diode,” Phys. Rev. Lett.101(26), 266402 (2008).
[CrossRef] [PubMed]

Bouchoule, S.

D. Bajoni, E. Semenova, A. Lematre, S. Bouchoule, E. Wertz, P. Senellart, S. Barbay, R. Kuszelewicz, and J. Bloch, “Optical bistability in a GaAs-based polariton diode,” Phys. Rev. Lett.101(26), 266402 (2008).
[CrossRef] [PubMed]

Boulier, T.

R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
[CrossRef]

Bradley, R. A.

D. Sarkar, S. S. Gavrilov, M. Sich, J. H. Quilter, R. A. Bradley, N. A. Gippius, K. Guda, V. D. Kulakovskii, M. S. Skolnick, and D. N. Krizhanovskii, “Polarization bistability and resultant spin rings in semiconductor microcavities,” Phys. Rev. Lett.105(21), 216402 (2010).
[CrossRef]

Bramati, A.

R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
[CrossRef]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

A. Amo, T. H. C. Liew, C. Adrados, R. Houdre, E. Giacobino, A. V. Kavokin, and A. Bramati, “Exciton-polariton spin switches,” Nature Photon.4, 361–366 (2010).
[CrossRef]

C. Adrados, A. Amo, T. C. H. Liew, R. Hivet, R. Houdr, E. Giacobino, A. V. Kavokin, and A. Bramati, “Spin rings in bistable planar semiconductor microcavities,” Phys. Rev. Lett.105(21), 216403 (2010).
[CrossRef]

A. Amo, J. Lefrere, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdre, E. Giacobino, and A. Bramati, “Superfluidity of polaritons in semiconductor microcavities,” Nature Phys., 5, 805–810 (2009).
[CrossRef]

A. Baas, J. P. Karr, M. Romanelli, A. Bramati, and E. Giacobino, “Optical bistability in semiconductor microcavities in the nondegenerate parametric oscillation regime: Analogy with the optical parametric oscillator,” Phys. Rev. B70(16), 161307(R) (2004).
[CrossRef]

Butté, R.

S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
[CrossRef] [PubMed]

Byrnes, T.

C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
[CrossRef] [PubMed]

Carlin, J.-F.

S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
[CrossRef] [PubMed]

Carusotto, I.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

A. Amo, J. Lefrere, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdre, E. Giacobino, and A. Bramati, “Superfluidity of polaritons in semiconductor microcavities,” Nature Phys., 5, 805–810 (2009).
[CrossRef]

A. Verger, C. Ciuti, and I. Carusotto, “Polariton quantum blockade in a photonic dot,” Phys. Rev. B73(19), 193306 (2006).
[CrossRef]

I. Carusotto and C. Ciuti, “Probing microcavity polariton superfluidity through resonant Rayleigh scattering,” Phys. Rev. Lett.,93(16), 166401 (2004).
[CrossRef]

Cerda-Mndez, E. A.

M. Sich, D. N. Krizhanovskii, M. S. Skolnick, A. V. Gorbach, R. Hartley, D. V. Skryabin, E. A. Cerda-Mndez, K. Biermann, R. Hey, and P. V. Santoset, “Observation of bright polariton solitons in a semiconductor microcavity,” Nature Photon.6, 50–55 (2012).
[CrossRef]

Chan, F. T.

X. L. Yang, S. H. Guo, F. T. Chan, K. W. Wong, and W. Y. Ching, “Analytic solution of a two-dimensional hydrogen atom. I. Nonrelativistic theory,” Phys.Rev. A43(3), 1186–1196 (1991).
[CrossRef] [PubMed]

Ching, W. Y.

X. L. Yang, S. H. Guo, F. T. Chan, K. W. Wong, and W. Y. Ching, “Analytic solution of a two-dimensional hydrogen atom. I. Nonrelativistic theory,” Phys.Rev. A43(3), 1186–1196 (1991).
[CrossRef] [PubMed]

Christmann, G.

G. Christmann, G. Tosi, N. G. Berloff, P. Tsotsis, P. S. Eldridge, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, “Polariton ring condensates and sunflower ripples in an expanding quantum liquid,” Phys. Rev. B85(23), 235303 (2012).
[CrossRef]

S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
[CrossRef] [PubMed]

Christopoulos, S.

S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
[CrossRef] [PubMed]

Cilibrizzi, P.

E. Kammann, T. C. H. Liew, H. Ohadi, P. Cilibrizzi, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, “Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers,” Phys. Rev. Lett.109(3), 036404 (2012).
[CrossRef] [PubMed]

Ciuti, C.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

A. Amo, J. Lefrere, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdre, E. Giacobino, and A. Bramati, “Superfluidity of polaritons in semiconductor microcavities,” Nature Phys., 5, 805–810 (2009).
[CrossRef]

A. Verger, C. Ciuti, and I. Carusotto, “Polariton quantum blockade in a photonic dot,” Phys. Rev. B73(19), 193306 (2006).
[CrossRef]

I. Carusotto and C. Ciuti, “Probing microcavity polariton superfluidity through resonant Rayleigh scattering,” Phys. Rev. Lett.,93(16), 166401 (2004).
[CrossRef]

Czekalla, C.

R. Schmidt-Grund, B. Rheinlnder, C. Czekalla, G. Benndorf, H. Hochmut, A. Rahm, M. Lorenz, and M. Grundmann, “ZnO based planar and micropillar resonators,” Superlattic. Microstruct.41(5–6), 360–363 (2007).
[CrossRef]

Dang, Le Si

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Das, Ayan

Ayan Das, Junseok Heo, Marc Jankowski, Wei Guo, Lei Zhang, Hui Deng, and Pallab Bhattacharya, “Room temperature ultralow threshold GaN nanowire polariton laser,” Phys. Rev. Lett.107(6), 066405 (2011).
[CrossRef] [PubMed]

del Valle, E.

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

Deng, H.

C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
[CrossRef] [PubMed]

Deng, Hui

Ayan Das, Junseok Heo, Marc Jankowski, Wei Guo, Lei Zhang, Hui Deng, and Pallab Bhattacharya, “Room temperature ultralow threshold GaN nanowire polariton laser,” Phys. Rev. Lett.107(6), 066405 (2011).
[CrossRef] [PubMed]

Deveaud, B.

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Deveaud-Pledran, B.

K. G. Lagoudakis, F. Manni, B. Pietka, M. Wouters, T. C. H. Liew, V. Savona, A. V. Kavokin, R. Andre, and B. Deveaud-Pledran, “Probing the dynamics of spontaneous quantum vortices in polariton superfluids,” Phys. Rev. Lett.106(11), 115301 (2011).
[CrossRef] [PubMed]

G. Nardin, G. Grosso, Y. Leger, B. Pietka, F. Morier-Genoud, and B. Deveaud-Pledran, “Hydrodynamic nucleation of quantized vortex pairs in a polariton quantum fluid,” Nature Phys.7, 635–641 (2011).
[CrossRef]

F. Manni, K. G. Lagoudakis, T. C. H. Liew, R. Andre, and B. Deveaud-Pledran, “Spontaneous pattern formation in a polariton condensate,” Phys. Rev. Lett.107(10), 106401 (2011).
[CrossRef] [PubMed]

K. G. Lagoudakis, B. Pietka, M. Wouters, R. Andre, and B. Deveaud-Pledran, “Coherent oscillations in an exciton-polariton Josephson junction,” Phys. Rev. Lett.105(12), 120403 (2010).
[CrossRef] [PubMed]

K. G. Lagoudakis, T. Ostatnicky, A. V. Kavokin, Y. G. Rubo, R. Andre, and B. Deveaud-Pledran, “Observation of half-quantum vortices in an exciton-polariton condensate,” Science13(5955), 974–976 (2009).
[CrossRef]

Deveaud-Plédran, B.

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, “Soliton instabilities and vortex street formation in a polariton quantum fluid,” Phys. Rev. Lett.107(24), 245301 (2011).
[CrossRef]

T. K. Paraïso, M. Wouters, Y. Léger, F. Morier-Genoud, and B. Deveaud-Plédran, “Multistability of a coherent spin ensemble in a semiconductor microcavity,” Nature Mater.9, 655–660 (2010).
[CrossRef]

Eldridge, P. S.

G. Christmann, G. Tosi, N. G. Berloff, P. Tsotsis, P. S. Eldridge, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, “Polariton ring condensates and sunflower ripples in an expanding quantum liquid,” Phys. Rev. B85(23), 235303 (2012).
[CrossRef]

Feltin, E.

S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
[CrossRef] [PubMed]

Flayac, H.

R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
[CrossRef]

Forrest, S. R.

S. Kena-Cohen and S. R. Forrest, “Room-temperature polariton lasing in an organic single-crystal microcavity,” Nature Photonics4, 371–375 (2010).
[CrossRef]

Franson, J. D.

B. C. Jacobs, T. B. Pittman, and J. D. Franson, “Generation of entangled photon holes using quantum interference,” Phys. Rev. A74(4), 010303()R (2006).

Fraser, M. D.

C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
[CrossRef] [PubMed]

Fujisawa, T.

C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
[CrossRef] [PubMed]

Gavrilov, S. S.

D. Sarkar, S. S. Gavrilov, M. Sich, J. H. Quilter, R. A. Bradley, N. A. Gippius, K. Guda, V. D. Kulakovskii, M. S. Skolnick, and D. N. Krizhanovskii, “Polarization bistability and resultant spin rings in semiconductor microcavities,” Phys. Rev. Lett.105(21), 216402 (2010).
[CrossRef]

N. A. Gippius, I. A. Shelykh, D. D. Solnyshkov, S. S. Gavrilov, Yuri G. Rubo, A. V. Kavokin, S. G. Tikhodeev, and G. Malpuech, “Polarization multistability of cavity polaritons,” Phys. Rev. Lett.98(23), 236401 (2007).
[CrossRef] [PubMed]

Giacobino, E.

R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
[CrossRef]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

A. Amo, T. H. C. Liew, C. Adrados, R. Houdre, E. Giacobino, A. V. Kavokin, and A. Bramati, “Exciton-polariton spin switches,” Nature Photon.4, 361–366 (2010).
[CrossRef]

C. Adrados, A. Amo, T. C. H. Liew, R. Hivet, R. Houdr, E. Giacobino, A. V. Kavokin, and A. Bramati, “Spin rings in bistable planar semiconductor microcavities,” Phys. Rev. Lett.105(21), 216403 (2010).
[CrossRef]

A. Amo, J. Lefrere, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdre, E. Giacobino, and A. Bramati, “Superfluidity of polaritons in semiconductor microcavities,” Nature Phys., 5, 805–810 (2009).
[CrossRef]

A. Baas, J. P. Karr, M. Romanelli, A. Bramati, and E. Giacobino, “Optical bistability in semiconductor microcavities in the nondegenerate parametric oscillation regime: Analogy with the optical parametric oscillator,” Phys. Rev. B70(16), 161307(R) (2004).
[CrossRef]

Gippius, N. A.

D. Sarkar, S. S. Gavrilov, M. Sich, J. H. Quilter, R. A. Bradley, N. A. Gippius, K. Guda, V. D. Kulakovskii, M. S. Skolnick, and D. N. Krizhanovskii, “Polarization bistability and resultant spin rings in semiconductor microcavities,” Phys. Rev. Lett.105(21), 216402 (2010).
[CrossRef]

N. A. Gippius, I. A. Shelykh, D. D. Solnyshkov, S. S. Gavrilov, Yuri G. Rubo, A. V. Kavokin, S. G. Tikhodeev, and G. Malpuech, “Polarization multistability of cavity polaritons,” Phys. Rev. Lett.98(23), 236401 (2007).
[CrossRef] [PubMed]

N. A. Gippius, S. G. Tikhodeev, V. D. Kulakovskii, D. N. Krizhanovskii, and A. I. Tartakovskii, “Nonlinear dynamics of polariton scattering in semiconductor microcavity: Bistability vs. stimulated scattering,” Europhys. Lett.67(6), 997 (2004).
[CrossRef]

Glazov, M. M.

A. V. Kavokin, I. A. Shelykh, T. Taylor, and M. M. Glazov, “Vertical cavity surface emitting terahertz laser,” Phys. Rev. Lett.108(19), 197401 (2012).
[CrossRef] [PubMed]

Gorbach, A. V.

M. Sich, D. N. Krizhanovskii, M. S. Skolnick, A. V. Gorbach, R. Hartley, D. V. Skryabin, E. A. Cerda-Mndez, K. Biermann, R. Hey, and P. V. Santoset, “Observation of bright polariton solitons in a semiconductor microcavity,” Nature Photon.6, 50–55 (2012).
[CrossRef]

Grandjean, N.

S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
[CrossRef] [PubMed]

Grosso, G.

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, “Soliton instabilities and vortex street formation in a polariton quantum fluid,” Phys. Rev. Lett.107(24), 245301 (2011).
[CrossRef]

G. Nardin, G. Grosso, Y. Leger, B. Pietka, F. Morier-Genoud, and B. Deveaud-Pledran, “Hydrodynamic nucleation of quantized vortex pairs in a polariton quantum fluid,” Nature Phys.7, 635–641 (2011).
[CrossRef]

Grundmann, M.

R. Schmidt-Grund, B. Rheinlnder, C. Czekalla, G. Benndorf, H. Hochmut, A. Rahm, M. Lorenz, and M. Grundmann, “ZnO based planar and micropillar resonators,” Superlattic. Microstruct.41(5–6), 360–363 (2007).
[CrossRef]

Grundy, A.

S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
[CrossRef] [PubMed]

Guda, K.

D. Sarkar, S. S. Gavrilov, M. Sich, J. H. Quilter, R. A. Bradley, N. A. Gippius, K. Guda, V. D. Kulakovskii, M. S. Skolnick, and D. N. Krizhanovskii, “Polarization bistability and resultant spin rings in semiconductor microcavities,” Phys. Rev. Lett.105(21), 216402 (2010).
[CrossRef]

Guo, S. H.

X. L. Yang, S. H. Guo, F. T. Chan, K. W. Wong, and W. Y. Ching, “Analytic solution of a two-dimensional hydrogen atom. I. Nonrelativistic theory,” Phys.Rev. A43(3), 1186–1196 (1991).
[CrossRef] [PubMed]

Guo, Wei

Ayan Das, Junseok Heo, Marc Jankowski, Wei Guo, Lei Zhang, Hui Deng, and Pallab Bhattacharya, “Room temperature ultralow threshold GaN nanowire polariton laser,” Phys. Rev. Lett.107(6), 066405 (2011).
[CrossRef] [PubMed]

Hartley, R.

M. Sich, D. N. Krizhanovskii, M. S. Skolnick, A. V. Gorbach, R. Hartley, D. V. Skryabin, E. A. Cerda-Mndez, K. Biermann, R. Hey, and P. V. Santoset, “Observation of bright polariton solitons in a semiconductor microcavity,” Nature Photon.6, 50–55 (2012).
[CrossRef]

Hartwell, V.

R. Balili, V. Hartwell, D. Snoke, L. Pfeiffer, and K. West, “Bose-Einstein condensation of microcavity polaritons in a trap,” Science316(5827), 1007–1010 (2007).
[CrossRef] [PubMed]

Hatzopoulos, Z.

G. Christmann, G. Tosi, N. G. Berloff, P. Tsotsis, P. S. Eldridge, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, “Polariton ring condensates and sunflower ripples in an expanding quantum liquid,” Phys. Rev. B85(23), 235303 (2012).
[CrossRef]

E. Kammann, T. C. H. Liew, H. Ohadi, P. Cilibrizzi, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, “Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers,” Phys. Rev. Lett.109(3), 036404 (2012).
[CrossRef] [PubMed]

Heo, Junseok

Ayan Das, Junseok Heo, Marc Jankowski, Wei Guo, Lei Zhang, Hui Deng, and Pallab Bhattacharya, “Room temperature ultralow threshold GaN nanowire polariton laser,” Phys. Rev. Lett.107(6), 066405 (2011).
[CrossRef] [PubMed]

Hey, R.

M. Sich, D. N. Krizhanovskii, M. S. Skolnick, A. V. Gorbach, R. Hartley, D. V. Skryabin, E. A. Cerda-Mndez, K. Biermann, R. Hey, and P. V. Santoset, “Observation of bright polariton solitons in a semiconductor microcavity,” Nature Photon.6, 50–55 (2012).
[CrossRef]

Hivet, R.

R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
[CrossRef]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

C. Adrados, A. Amo, T. C. H. Liew, R. Hivet, R. Houdr, E. Giacobino, A. V. Kavokin, and A. Bramati, “Spin rings in bistable planar semiconductor microcavities,” Phys. Rev. Lett.105(21), 216403 (2010).
[CrossRef]

Hochmut, H.

R. Schmidt-Grund, B. Rheinlnder, C. Czekalla, G. Benndorf, H. Hochmut, A. Rahm, M. Lorenz, and M. Grundmann, “ZnO based planar and micropillar resonators,” Superlattic. Microstruct.41(5–6), 360–363 (2007).
[CrossRef]

Houdr, R.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

C. Adrados, A. Amo, T. C. H. Liew, R. Hivet, R. Houdr, E. Giacobino, A. V. Kavokin, and A. Bramati, “Spin rings in bistable planar semiconductor microcavities,” Phys. Rev. Lett.105(21), 216403 (2010).
[CrossRef]

Houdre, R.

A. Amo, T. H. C. Liew, C. Adrados, R. Houdre, E. Giacobino, A. V. Kavokin, and A. Bramati, “Exciton-polariton spin switches,” Nature Photon.4, 361–366 (2010).
[CrossRef]

A. Amo, J. Lefrere, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdre, E. Giacobino, and A. Bramati, “Superfluidity of polaritons in semiconductor microcavities,” Nature Phys., 5, 805–810 (2009).
[CrossRef]

Ishikawa, A.

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, “Observation of the coupled exciton-photon mode splitting in a semiconductor quantum microcavity,” Phys. Rev. Lett.69(23), 3314–3317 (1992).
[CrossRef] [PubMed]

Jacobs, B. C.

B. C. Jacobs, T. B. Pittman, and J. D. Franson, “Generation of entangled photon holes using quantum interference,” Phys. Rev. A74(4), 010303()R (2006).

Jankowski, Marc

Ayan Das, Junseok Heo, Marc Jankowski, Wei Guo, Lei Zhang, Hui Deng, and Pallab Bhattacharya, “Room temperature ultralow threshold GaN nanowire polariton laser,” Phys. Rev. Lett.107(6), 066405 (2011).
[CrossRef] [PubMed]

Jeambrun, P.

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Kaliteevski, M.

T. C. H. Liew, A. V. Kavokin, T. Ostatnický, M. Kaliteevski, I. A. Shelykh, and R. A. Abram, “Exciton-polariton integrated circuits,” Phys. Rev. B82(3), 033302 (2010).
[CrossRef]

Kaliteevski, M. A.

I. G. Savenko, I. A. Shelykh, and M. A. Kaliteevski, “Nonlinear terahertz emission in semiconductor microcavities,” Phys. Rev. Lett.107(2), 027401 (2011).
[CrossRef] [PubMed]

K. V. Kavokin, M. A. Kaliteevski, R. A. Abram, A. V. Kavokin, S. Sharkova, and I. A. Shelykh, “Stimulated emission of terahertz radiation by exciton-polariton lasers,” Appl. Phys. Lett.97(20), 201111 (2010).
[CrossRef]

Kammann, E.

E. Kammann, T. C. H. Liew, H. Ohadi, P. Cilibrizzi, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, “Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers,” Phys. Rev. Lett.109(3), 036404 (2012).
[CrossRef] [PubMed]

Karr, J. P.

A. Baas, J. P. Karr, M. Romanelli, A. Bramati, and E. Giacobino, “Optical bistability in semiconductor microcavities in the nondegenerate parametric oscillation regime: Analogy with the optical parametric oscillator,” Phys. Rev. B70(16), 161307(R) (2004).
[CrossRef]

Kasprzak, J.

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Kavokin, A. V.

E. Kammann, T. C. H. Liew, H. Ohadi, P. Cilibrizzi, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, “Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers,” Phys. Rev. Lett.109(3), 036404 (2012).
[CrossRef] [PubMed]

A. V. Kavokin, I. A. Shelykh, T. Taylor, and M. M. Glazov, “Vertical cavity surface emitting terahertz laser,” Phys. Rev. Lett.108(19), 197401 (2012).
[CrossRef] [PubMed]

K. G. Lagoudakis, F. Manni, B. Pietka, M. Wouters, T. C. H. Liew, V. Savona, A. V. Kavokin, R. Andre, and B. Deveaud-Pledran, “Probing the dynamics of spontaneous quantum vortices in polariton superfluids,” Phys. Rev. Lett.106(11), 115301 (2011).
[CrossRef] [PubMed]

K. V. Kavokin, M. A. Kaliteevski, R. A. Abram, A. V. Kavokin, S. Sharkova, and I. A. Shelykh, “Stimulated emission of terahertz radiation by exciton-polariton lasers,” Appl. Phys. Lett.97(20), 201111 (2010).
[CrossRef]

T. C. H. Liew, A. V. Kavokin, T. Ostatnický, M. Kaliteevski, I. A. Shelykh, and R. A. Abram, “Exciton-polariton integrated circuits,” Phys. Rev. B82(3), 033302 (2010).
[CrossRef]

C. Adrados, A. Amo, T. C. H. Liew, R. Hivet, R. Houdr, E. Giacobino, A. V. Kavokin, and A. Bramati, “Spin rings in bistable planar semiconductor microcavities,” Phys. Rev. Lett.105(21), 216403 (2010).
[CrossRef]

I. A. Shelykh, A. V. Kavokin, Yuri G. Rubo, T. C. H. Liew, and G. Malpuech, “Polariton polarization-sensitive phenomena in planar semiconductor microcavities”, Semicond. Sci. Technol.25(1), 013001 (2010).
[CrossRef]

A. Amo, T. H. C. Liew, C. Adrados, R. Houdre, E. Giacobino, A. V. Kavokin, and A. Bramati, “Exciton-polariton spin switches,” Nature Photon.4, 361–366 (2010).
[CrossRef]

K. G. Lagoudakis, T. Ostatnicky, A. V. Kavokin, Y. G. Rubo, R. Andre, and B. Deveaud-Pledran, “Observation of half-quantum vortices in an exciton-polariton condensate,” Science13(5955), 974–976 (2009).
[CrossRef]

T. C. H. Liew, A. V. Kavokin, and I. A. Shelykh, “Optical circuits based on polariton neurons in semiconductor microcavities,” Phys. Rev. Lett.100(11), 116401 (2008).
[PubMed]

T. C. H. Liew, A. V. Kavokin, and I. A. Shelykh, “Optical circuits based on polariton neurons in semiconductor microcavities,” Phys. Rev. Lett.101(1), 016402 (2008).
[CrossRef] [PubMed]

S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
[CrossRef] [PubMed]

N. A. Gippius, I. A. Shelykh, D. D. Solnyshkov, S. S. Gavrilov, Yuri G. Rubo, A. V. Kavokin, S. G. Tikhodeev, and G. Malpuech, “Polarization multistability of cavity polaritons,” Phys. Rev. Lett.98(23), 236401 (2007).
[CrossRef] [PubMed]

A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford University, (2007)).
[CrossRef]

Kavokin, K. V.

K. V. Kavokin, M. A. Kaliteevski, R. A. Abram, A. V. Kavokin, S. Sharkova, and I. A. Shelykh, “Stimulated emission of terahertz radiation by exciton-polariton lasers,” Appl. Phys. Lett.97(20), 201111 (2010).
[CrossRef]

Keeling, J. M. J.

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Kena-Cohen, S.

S. Kena-Cohen and S. R. Forrest, “Room-temperature polariton lasing in an organic single-crystal microcavity,” Nature Photonics4, 371–375 (2010).
[CrossRef]

Kibis, O. V.

I. G. Savenko, O. V. Kibis, and I. A. Shelykh, “Asymmetric quantum dot in a microcavity as a nonlinear optical element,” Phys. Rev. A85(5), 053818 (2012).
[CrossRef]

Kim, N. Y.

C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
[CrossRef] [PubMed]

Krizhanovskii, D. N.

M. Sich, D. N. Krizhanovskii, M. S. Skolnick, A. V. Gorbach, R. Hartley, D. V. Skryabin, E. A. Cerda-Mndez, K. Biermann, R. Hey, and P. V. Santoset, “Observation of bright polariton solitons in a semiconductor microcavity,” Nature Photon.6, 50–55 (2012).
[CrossRef]

D. Sarkar, S. S. Gavrilov, M. Sich, J. H. Quilter, R. A. Bradley, N. A. Gippius, K. Guda, V. D. Kulakovskii, M. S. Skolnick, and D. N. Krizhanovskii, “Polarization bistability and resultant spin rings in semiconductor microcavities,” Phys. Rev. Lett.105(21), 216402 (2010).
[CrossRef]

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

N. A. Gippius, S. G. Tikhodeev, V. D. Kulakovskii, D. N. Krizhanovskii, and A. I. Tartakovskii, “Nonlinear dynamics of polariton scattering in semiconductor microcavity: Bistability vs. stimulated scattering,” Europhys. Lett.67(6), 997 (2004).
[CrossRef]

V. D. Kulakovskii, A. I. Tartakovskii, D. N. Krizhanovskii, A. Armitage, J. S. Roberts, and M. S. Skolnick, “Two-dimensional excitonic polaritons and their interaction,” Phys. Usp.43(8), 853–857 (2000).
[CrossRef]

Kulakovskii, V. D.

D. Sarkar, S. S. Gavrilov, M. Sich, J. H. Quilter, R. A. Bradley, N. A. Gippius, K. Guda, V. D. Kulakovskii, M. S. Skolnick, and D. N. Krizhanovskii, “Polarization bistability and resultant spin rings in semiconductor microcavities,” Phys. Rev. Lett.105(21), 216402 (2010).
[CrossRef]

N. A. Gippius, S. G. Tikhodeev, V. D. Kulakovskii, D. N. Krizhanovskii, and A. I. Tartakovskii, “Nonlinear dynamics of polariton scattering in semiconductor microcavity: Bistability vs. stimulated scattering,” Europhys. Lett.67(6), 997 (2004).
[CrossRef]

V. D. Kulakovskii, A. I. Tartakovskii, D. N. Krizhanovskii, A. Armitage, J. S. Roberts, and M. S. Skolnick, “Two-dimensional excitonic polaritons and their interaction,” Phys. Usp.43(8), 853–857 (2000).
[CrossRef]

Kumada, N.

C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
[CrossRef] [PubMed]

Kundermann, S.

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Kuszelewicz, R.

D. Bajoni, E. Semenova, A. Lematre, S. Bouchoule, E. Wertz, P. Senellart, S. Barbay, R. Kuszelewicz, and J. Bloch, “Optical bistability in a GaAs-based polariton diode,” Phys. Rev. Lett.101(26), 266402 (2008).
[CrossRef] [PubMed]

Lagoudakis, K. G.

K. G. Lagoudakis, F. Manni, B. Pietka, M. Wouters, T. C. H. Liew, V. Savona, A. V. Kavokin, R. Andre, and B. Deveaud-Pledran, “Probing the dynamics of spontaneous quantum vortices in polariton superfluids,” Phys. Rev. Lett.106(11), 115301 (2011).
[CrossRef] [PubMed]

F. Manni, K. G. Lagoudakis, T. C. H. Liew, R. Andre, and B. Deveaud-Pledran, “Spontaneous pattern formation in a polariton condensate,” Phys. Rev. Lett.107(10), 106401 (2011).
[CrossRef] [PubMed]

K. G. Lagoudakis, B. Pietka, M. Wouters, R. Andre, and B. Deveaud-Pledran, “Coherent oscillations in an exciton-polariton Josephson junction,” Phys. Rev. Lett.105(12), 120403 (2010).
[CrossRef] [PubMed]

K. G. Lagoudakis, T. Ostatnicky, A. V. Kavokin, Y. G. Rubo, R. Andre, and B. Deveaud-Pledran, “Observation of half-quantum vortices in an exciton-polariton condensate,” Science13(5955), 974–976 (2009).
[CrossRef]

Lagoudakis, P. G.

E. Kammann, T. C. H. Liew, H. Ohadi, P. Cilibrizzi, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, “Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers,” Phys. Rev. Lett.109(3), 036404 (2012).
[CrossRef] [PubMed]

S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
[CrossRef] [PubMed]

Lai, C. W.

C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
[CrossRef] [PubMed]

Laussy, F. P.

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford University, (2007)).
[CrossRef]

Lefrere, J.

A. Amo, J. Lefrere, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdre, E. Giacobino, and A. Bramati, “Superfluidity of polaritons in semiconductor microcavities,” Nature Phys., 5, 805–810 (2009).
[CrossRef]

Leger, Y.

G. Nardin, G. Grosso, Y. Leger, B. Pietka, F. Morier-Genoud, and B. Deveaud-Pledran, “Hydrodynamic nucleation of quantized vortex pairs in a polariton quantum fluid,” Nature Phys.7, 635–641 (2011).
[CrossRef]

Léger, Y.

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, “Soliton instabilities and vortex street formation in a polariton quantum fluid,” Phys. Rev. Lett.107(24), 245301 (2011).
[CrossRef]

T. K. Paraïso, M. Wouters, Y. Léger, F. Morier-Genoud, and B. Deveaud-Plédran, “Multistability of a coherent spin ensemble in a semiconductor microcavity,” Nature Mater.9, 655–660 (2010).
[CrossRef]

Lemaitre, A.

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

Lematre, A.

D. Bajoni, E. Semenova, A. Lematre, S. Bouchoule, E. Wertz, P. Senellart, S. Barbay, R. Kuszelewicz, and J. Bloch, “Optical bistability in a GaAs-based polariton diode,” Phys. Rev. Lett.101(26), 266402 (2008).
[CrossRef] [PubMed]

Lemnager, G.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

Liew, T. C. H.

E. Kammann, T. C. H. Liew, H. Ohadi, P. Cilibrizzi, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, “Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers,” Phys. Rev. Lett.109(3), 036404 (2012).
[CrossRef] [PubMed]

F. Manni, K. G. Lagoudakis, T. C. H. Liew, R. Andre, and B. Deveaud-Pledran, “Spontaneous pattern formation in a polariton condensate,” Phys. Rev. Lett.107(10), 106401 (2011).
[CrossRef] [PubMed]

K. G. Lagoudakis, F. Manni, B. Pietka, M. Wouters, T. C. H. Liew, V. Savona, A. V. Kavokin, R. Andre, and B. Deveaud-Pledran, “Probing the dynamics of spontaneous quantum vortices in polariton superfluids,” Phys. Rev. Lett.106(11), 115301 (2011).
[CrossRef] [PubMed]

T. C. H. Liew, I. A. Shelykh, and G. Malpuech, “Polaritonic devices,” Physica E43(9), 1543–1568 (2011).
[CrossRef]

C. Adrados, A. Amo, T. C. H. Liew, R. Hivet, R. Houdr, E. Giacobino, A. V. Kavokin, and A. Bramati, “Spin rings in bistable planar semiconductor microcavities,” Phys. Rev. Lett.105(21), 216403 (2010).
[CrossRef]

T. C. H. Liew, A. V. Kavokin, T. Ostatnický, M. Kaliteevski, I. A. Shelykh, and R. A. Abram, “Exciton-polariton integrated circuits,” Phys. Rev. B82(3), 033302 (2010).
[CrossRef]

I. A. Shelykh, A. V. Kavokin, Yuri G. Rubo, T. C. H. Liew, and G. Malpuech, “Polariton polarization-sensitive phenomena in planar semiconductor microcavities”, Semicond. Sci. Technol.25(1), 013001 (2010).
[CrossRef]

T. C. H. Liew, A. V. Kavokin, and I. A. Shelykh, “Optical circuits based on polariton neurons in semiconductor microcavities,” Phys. Rev. Lett.101(1), 016402 (2008).
[CrossRef] [PubMed]

T. C. H. Liew, A. V. Kavokin, and I. A. Shelykh, “Optical circuits based on polariton neurons in semiconductor microcavities,” Phys. Rev. Lett.100(11), 116401 (2008).
[PubMed]

Liew, T. H. C.

A. Amo, T. H. C. Liew, C. Adrados, R. Houdre, E. Giacobino, A. V. Kavokin, and A. Bramati, “Exciton-polariton spin switches,” Nature Photon.4, 361–366 (2010).
[CrossRef]

Littlewood, P. B.

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Lorenz, M.

R. Schmidt-Grund, B. Rheinlnder, C. Czekalla, G. Benndorf, H. Hochmut, A. Rahm, M. Lorenz, and M. Grundmann, “ZnO based planar and micropillar resonators,” Superlattic. Microstruct.41(5–6), 360–363 (2007).
[CrossRef]

Malpuech, G.

R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
[CrossRef]

T. C. H. Liew, I. A. Shelykh, and G. Malpuech, “Polaritonic devices,” Physica E43(9), 1543–1568 (2011).
[CrossRef]

I. A. Shelykh, A. V. Kavokin, Yuri G. Rubo, T. C. H. Liew, and G. Malpuech, “Polariton polarization-sensitive phenomena in planar semiconductor microcavities”, Semicond. Sci. Technol.25(1), 013001 (2010).
[CrossRef]

N. A. Gippius, I. A. Shelykh, D. D. Solnyshkov, S. S. Gavrilov, Yuri G. Rubo, A. V. Kavokin, S. G. Tikhodeev, and G. Malpuech, “Polarization multistability of cavity polaritons,” Phys. Rev. Lett.98(23), 236401 (2007).
[CrossRef] [PubMed]

A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford University, (2007)).
[CrossRef]

Manni, F.

F. Manni, K. G. Lagoudakis, T. C. H. Liew, R. Andre, and B. Deveaud-Pledran, “Spontaneous pattern formation in a polariton condensate,” Phys. Rev. Lett.107(10), 106401 (2011).
[CrossRef] [PubMed]

K. G. Lagoudakis, F. Manni, B. Pietka, M. Wouters, T. C. H. Liew, V. Savona, A. V. Kavokin, R. Andre, and B. Deveaud-Pledran, “Probing the dynamics of spontaneous quantum vortices in polariton superfluids,” Phys. Rev. Lett.106(11), 115301 (2011).
[CrossRef] [PubMed]

Marchetti, F. M.

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Martin, M. D.

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

Morier-Genoud, F.

G. Nardin, G. Grosso, Y. Leger, B. Pietka, F. Morier-Genoud, and B. Deveaud-Pledran, “Hydrodynamic nucleation of quantized vortex pairs in a polariton quantum fluid,” Nature Phys.7, 635–641 (2011).
[CrossRef]

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, “Soliton instabilities and vortex street formation in a polariton quantum fluid,” Phys. Rev. Lett.107(24), 245301 (2011).
[CrossRef]

T. K. Paraïso, M. Wouters, Y. Léger, F. Morier-Genoud, and B. Deveaud-Plédran, “Multistability of a coherent spin ensemble in a semiconductor microcavity,” Nature Mater.9, 655–660 (2010).
[CrossRef]

Nardin, G.

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, “Soliton instabilities and vortex street formation in a polariton quantum fluid,” Phys. Rev. Lett.107(24), 245301 (2011).
[CrossRef]

G. Nardin, G. Grosso, Y. Leger, B. Pietka, F. Morier-Genoud, and B. Deveaud-Pledran, “Hydrodynamic nucleation of quantized vortex pairs in a polariton quantum fluid,” Nature Phys.7, 635–641 (2011).
[CrossRef]

Nishioka, M.

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, “Observation of the coupled exciton-photon mode splitting in a semiconductor quantum microcavity,” Phys. Rev. Lett.69(23), 3314–3317 (1992).
[CrossRef] [PubMed]

Ohadi, H.

E. Kammann, T. C. H. Liew, H. Ohadi, P. Cilibrizzi, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, “Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers,” Phys. Rev. Lett.109(3), 036404 (2012).
[CrossRef] [PubMed]

Ostatnicky, T.

K. G. Lagoudakis, T. Ostatnicky, A. V. Kavokin, Y. G. Rubo, R. Andre, and B. Deveaud-Pledran, “Observation of half-quantum vortices in an exciton-polariton condensate,” Science13(5955), 974–976 (2009).
[CrossRef]

Ostatnický, T.

T. C. H. Liew, A. V. Kavokin, T. Ostatnický, M. Kaliteevski, I. A. Shelykh, and R. A. Abram, “Exciton-polariton integrated circuits,” Phys. Rev. B82(3), 033302 (2010).
[CrossRef]

Paraïso, T. K.

T. K. Paraïso, M. Wouters, Y. Léger, F. Morier-Genoud, and B. Deveaud-Plédran, “Multistability of a coherent spin ensemble in a semiconductor microcavity,” Nature Mater.9, 655–660 (2010).
[CrossRef]

Pfeiffer, L.

R. Balili, V. Hartwell, D. Snoke, L. Pfeiffer, and K. West, “Bose-Einstein condensation of microcavity polaritons in a trap,” Science316(5827), 1007–1010 (2007).
[CrossRef] [PubMed]

Pietka, B.

K. G. Lagoudakis, F. Manni, B. Pietka, M. Wouters, T. C. H. Liew, V. Savona, A. V. Kavokin, R. Andre, and B. Deveaud-Pledran, “Probing the dynamics of spontaneous quantum vortices in polariton superfluids,” Phys. Rev. Lett.106(11), 115301 (2011).
[CrossRef] [PubMed]

G. Nardin, G. Grosso, Y. Leger, B. Pietka, F. Morier-Genoud, and B. Deveaud-Pledran, “Hydrodynamic nucleation of quantized vortex pairs in a polariton quantum fluid,” Nature Phys.7, 635–641 (2011).
[CrossRef]

K. G. Lagoudakis, B. Pietka, M. Wouters, R. Andre, and B. Deveaud-Pledran, “Coherent oscillations in an exciton-polariton Josephson junction,” Phys. Rev. Lett.105(12), 120403 (2010).
[CrossRef] [PubMed]

Pigeon, S.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

A. Amo, J. Lefrere, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdre, E. Giacobino, and A. Bramati, “Superfluidity of polaritons in semiconductor microcavities,” Nature Phys., 5, 805–810 (2009).
[CrossRef]

Pisanello, F.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

Pittman, T. B.

B. C. Jacobs, T. B. Pittman, and J. D. Franson, “Generation of entangled photon holes using quantum interference,” Phys. Rev. A74(4), 010303()R (2006).

Quilter, J. H.

D. Sarkar, S. S. Gavrilov, M. Sich, J. H. Quilter, R. A. Bradley, N. A. Gippius, K. Guda, V. D. Kulakovskii, M. S. Skolnick, and D. N. Krizhanovskii, “Polarization bistability and resultant spin rings in semiconductor microcavities,” Phys. Rev. Lett.105(21), 216402 (2010).
[CrossRef]

Rahm, A.

R. Schmidt-Grund, B. Rheinlnder, C. Czekalla, G. Benndorf, H. Hochmut, A. Rahm, M. Lorenz, and M. Grundmann, “ZnO based planar and micropillar resonators,” Superlattic. Microstruct.41(5–6), 360–363 (2007).
[CrossRef]

Recher, P.

C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
[CrossRef] [PubMed]

Rheinlnder, B.

R. Schmidt-Grund, B. Rheinlnder, C. Czekalla, G. Benndorf, H. Hochmut, A. Rahm, M. Lorenz, and M. Grundmann, “ZnO based planar and micropillar resonators,” Superlattic. Microstruct.41(5–6), 360–363 (2007).
[CrossRef]

Richard, M.

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Roberts, J. S.

V. D. Kulakovskii, A. I. Tartakovskii, D. N. Krizhanovskii, A. Armitage, J. S. Roberts, and M. S. Skolnick, “Two-dimensional excitonic polaritons and their interaction,” Phys. Usp.43(8), 853–857 (2000).
[CrossRef]

Romanelli, M.

A. Baas, J. P. Karr, M. Romanelli, A. Bramati, and E. Giacobino, “Optical bistability in semiconductor microcavities in the nondegenerate parametric oscillation regime: Analogy with the optical parametric oscillator,” Phys. Rev. B70(16), 161307(R) (2004).
[CrossRef]

Roumpos, G.

C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
[CrossRef] [PubMed]

Rubo, Y. G.

K. G. Lagoudakis, T. Ostatnicky, A. V. Kavokin, Y. G. Rubo, R. Andre, and B. Deveaud-Pledran, “Observation of half-quantum vortices in an exciton-polariton condensate,” Science13(5955), 974–976 (2009).
[CrossRef]

Rubo, Yuri G.

I. A. Shelykh, A. V. Kavokin, Yuri G. Rubo, T. C. H. Liew, and G. Malpuech, “Polariton polarization-sensitive phenomena in planar semiconductor microcavities”, Semicond. Sci. Technol.25(1), 013001 (2010).
[CrossRef]

N. A. Gippius, I. A. Shelykh, D. D. Solnyshkov, S. S. Gavrilov, Yuri G. Rubo, A. V. Kavokin, S. G. Tikhodeev, and G. Malpuech, “Polarization multistability of cavity polaritons,” Phys. Rev. Lett.98(23), 236401 (2007).
[CrossRef] [PubMed]

Sala, V. G.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

Santoset, P. V.

M. Sich, D. N. Krizhanovskii, M. S. Skolnick, A. V. Gorbach, R. Hartley, D. V. Skryabin, E. A. Cerda-Mndez, K. Biermann, R. Hey, and P. V. Santoset, “Observation of bright polariton solitons in a semiconductor microcavity,” Nature Photon.6, 50–55 (2012).
[CrossRef]

Sanvitto, D.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

Sarkar, D.

D. Sarkar, S. S. Gavrilov, M. Sich, J. H. Quilter, R. A. Bradley, N. A. Gippius, K. Guda, V. D. Kulakovskii, M. S. Skolnick, and D. N. Krizhanovskii, “Polarization bistability and resultant spin rings in semiconductor microcavities,” Phys. Rev. Lett.105(21), 216402 (2010).
[CrossRef]

Savenko, I. G.

I. G. Savenko, O. V. Kibis, and I. A. Shelykh, “Asymmetric quantum dot in a microcavity as a nonlinear optical element,” Phys. Rev. A85(5), 053818 (2012).
[CrossRef]

I. G. Savenko, I. A. Shelykh, and M. A. Kaliteevski, “Nonlinear terahertz emission in semiconductor microcavities,” Phys. Rev. Lett.107(2), 027401 (2011).
[CrossRef] [PubMed]

Savona, V.

K. G. Lagoudakis, F. Manni, B. Pietka, M. Wouters, T. C. H. Liew, V. Savona, A. V. Kavokin, R. Andre, and B. Deveaud-Pledran, “Probing the dynamics of spontaneous quantum vortices in polariton superfluids,” Phys. Rev. Lett.106(11), 115301 (2011).
[CrossRef] [PubMed]

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Savvidis, P. G.

E. Kammann, T. C. H. Liew, H. Ohadi, P. Cilibrizzi, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, “Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers,” Phys. Rev. Lett.109(3), 036404 (2012).
[CrossRef] [PubMed]

G. Christmann, G. Tosi, N. G. Berloff, P. Tsotsis, P. S. Eldridge, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, “Polariton ring condensates and sunflower ripples in an expanding quantum liquid,” Phys. Rev. B85(23), 235303 (2012).
[CrossRef]

Schmidt-Grund, R.

R. Schmidt-Grund, B. Rheinlnder, C. Czekalla, G. Benndorf, H. Hochmut, A. Rahm, M. Lorenz, and M. Grundmann, “ZnO based planar and micropillar resonators,” Superlattic. Microstruct.41(5–6), 360–363 (2007).
[CrossRef]

Semenova, E.

D. Bajoni, E. Semenova, A. Lematre, S. Bouchoule, E. Wertz, P. Senellart, S. Barbay, R. Kuszelewicz, and J. Bloch, “Optical bistability in a GaAs-based polariton diode,” Phys. Rev. Lett.101(26), 266402 (2008).
[CrossRef] [PubMed]

Senellart, P.

D. Bajoni, E. Semenova, A. Lematre, S. Bouchoule, E. Wertz, P. Senellart, S. Barbay, R. Kuszelewicz, and J. Bloch, “Optical bistability in a GaAs-based polariton diode,” Phys. Rev. Lett.101(26), 266402 (2008).
[CrossRef] [PubMed]

Sharkova, S.

K. V. Kavokin, M. A. Kaliteevski, R. A. Abram, A. V. Kavokin, S. Sharkova, and I. A. Shelykh, “Stimulated emission of terahertz radiation by exciton-polariton lasers,” Appl. Phys. Lett.97(20), 201111 (2010).
[CrossRef]

Shelykh, I. A.

A. V. Kavokin, I. A. Shelykh, T. Taylor, and M. M. Glazov, “Vertical cavity surface emitting terahertz laser,” Phys. Rev. Lett.108(19), 197401 (2012).
[CrossRef] [PubMed]

I. G. Savenko, O. V. Kibis, and I. A. Shelykh, “Asymmetric quantum dot in a microcavity as a nonlinear optical element,” Phys. Rev. A85(5), 053818 (2012).
[CrossRef]

T. C. H. Liew, I. A. Shelykh, and G. Malpuech, “Polaritonic devices,” Physica E43(9), 1543–1568 (2011).
[CrossRef]

I. G. Savenko, I. A. Shelykh, and M. A. Kaliteevski, “Nonlinear terahertz emission in semiconductor microcavities,” Phys. Rev. Lett.107(2), 027401 (2011).
[CrossRef] [PubMed]

T. C. H. Liew, A. V. Kavokin, T. Ostatnický, M. Kaliteevski, I. A. Shelykh, and R. A. Abram, “Exciton-polariton integrated circuits,” Phys. Rev. B82(3), 033302 (2010).
[CrossRef]

I. A. Shelykh, A. V. Kavokin, Yuri G. Rubo, T. C. H. Liew, and G. Malpuech, “Polariton polarization-sensitive phenomena in planar semiconductor microcavities”, Semicond. Sci. Technol.25(1), 013001 (2010).
[CrossRef]

K. V. Kavokin, M. A. Kaliteevski, R. A. Abram, A. V. Kavokin, S. Sharkova, and I. A. Shelykh, “Stimulated emission of terahertz radiation by exciton-polariton lasers,” Appl. Phys. Lett.97(20), 201111 (2010).
[CrossRef]

T. C. H. Liew, A. V. Kavokin, and I. A. Shelykh, “Optical circuits based on polariton neurons in semiconductor microcavities,” Phys. Rev. Lett.101(1), 016402 (2008).
[CrossRef] [PubMed]

T. C. H. Liew, A. V. Kavokin, and I. A. Shelykh, “Optical circuits based on polariton neurons in semiconductor microcavities,” Phys. Rev. Lett.100(11), 116401 (2008).
[PubMed]

N. A. Gippius, I. A. Shelykh, D. D. Solnyshkov, S. S. Gavrilov, Yuri G. Rubo, A. V. Kavokin, S. G. Tikhodeev, and G. Malpuech, “Polarization multistability of cavity polaritons,” Phys. Rev. Lett.98(23), 236401 (2007).
[CrossRef] [PubMed]

Sich, M.

M. Sich, D. N. Krizhanovskii, M. S. Skolnick, A. V. Gorbach, R. Hartley, D. V. Skryabin, E. A. Cerda-Mndez, K. Biermann, R. Hey, and P. V. Santoset, “Observation of bright polariton solitons in a semiconductor microcavity,” Nature Photon.6, 50–55 (2012).
[CrossRef]

D. Sarkar, S. S. Gavrilov, M. Sich, J. H. Quilter, R. A. Bradley, N. A. Gippius, K. Guda, V. D. Kulakovskii, M. S. Skolnick, and D. N. Krizhanovskii, “Polarization bistability and resultant spin rings in semiconductor microcavities,” Phys. Rev. Lett.105(21), 216402 (2010).
[CrossRef]

Skolnick, M. S.

M. Sich, D. N. Krizhanovskii, M. S. Skolnick, A. V. Gorbach, R. Hartley, D. V. Skryabin, E. A. Cerda-Mndez, K. Biermann, R. Hey, and P. V. Santoset, “Observation of bright polariton solitons in a semiconductor microcavity,” Nature Photon.6, 50–55 (2012).
[CrossRef]

D. Sarkar, S. S. Gavrilov, M. Sich, J. H. Quilter, R. A. Bradley, N. A. Gippius, K. Guda, V. D. Kulakovskii, M. S. Skolnick, and D. N. Krizhanovskii, “Polarization bistability and resultant spin rings in semiconductor microcavities,” Phys. Rev. Lett.105(21), 216402 (2010).
[CrossRef]

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

V. D. Kulakovskii, A. I. Tartakovskii, D. N. Krizhanovskii, A. Armitage, J. S. Roberts, and M. S. Skolnick, “Two-dimensional excitonic polaritons and their interaction,” Phys. Usp.43(8), 853–857 (2000).
[CrossRef]

Skryabin, D. V.

M. Sich, D. N. Krizhanovskii, M. S. Skolnick, A. V. Gorbach, R. Hartley, D. V. Skryabin, E. A. Cerda-Mndez, K. Biermann, R. Hey, and P. V. Santoset, “Observation of bright polariton solitons in a semiconductor microcavity,” Nature Photon.6, 50–55 (2012).
[CrossRef]

Snoke, D.

R. Balili, V. Hartwell, D. Snoke, L. Pfeiffer, and K. West, “Bose-Einstein condensation of microcavity polaritons in a trap,” Science316(5827), 1007–1010 (2007).
[CrossRef] [PubMed]

Solnyshkov, D. D.

R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
[CrossRef]

N. A. Gippius, I. A. Shelykh, D. D. Solnyshkov, S. S. Gavrilov, Yuri G. Rubo, A. V. Kavokin, S. G. Tikhodeev, and G. Malpuech, “Polarization multistability of cavity polaritons,” Phys. Rev. Lett.98(23), 236401 (2007).
[CrossRef] [PubMed]

Staehli, J. L.

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Szymanska, M. H.

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Tanese, D.

R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
[CrossRef]

Tartakovskii, A. I.

N. A. Gippius, S. G. Tikhodeev, V. D. Kulakovskii, D. N. Krizhanovskii, and A. I. Tartakovskii, “Nonlinear dynamics of polariton scattering in semiconductor microcavity: Bistability vs. stimulated scattering,” Europhys. Lett.67(6), 997 (2004).
[CrossRef]

V. D. Kulakovskii, A. I. Tartakovskii, D. N. Krizhanovskii, A. Armitage, J. S. Roberts, and M. S. Skolnick, “Two-dimensional excitonic polaritons and their interaction,” Phys. Usp.43(8), 853–857 (2000).
[CrossRef]

Tassone, F.

F. Tassone and Y. Yamamoto, “Exciton-exciton scattering dynamics in a semiconductor microcavity and stimulated scattering into polaritons,” Phys. Rev. B59(16), 10830–10842 (1999).
[CrossRef]

Taylor, T.

A. V. Kavokin, I. A. Shelykh, T. Taylor, and M. M. Glazov, “Vertical cavity surface emitting terahertz laser,” Phys. Rev. Lett.108(19), 197401 (2012).
[CrossRef] [PubMed]

Tejedor, C.

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

Tikhodeev, S. G.

N. A. Gippius, I. A. Shelykh, D. D. Solnyshkov, S. S. Gavrilov, Yuri G. Rubo, A. V. Kavokin, S. G. Tikhodeev, and G. Malpuech, “Polarization multistability of cavity polaritons,” Phys. Rev. Lett.98(23), 236401 (2007).
[CrossRef] [PubMed]

N. A. Gippius, S. G. Tikhodeev, V. D. Kulakovskii, D. N. Krizhanovskii, and A. I. Tartakovskii, “Nonlinear dynamics of polariton scattering in semiconductor microcavity: Bistability vs. stimulated scattering,” Europhys. Lett.67(6), 997 (2004).
[CrossRef]

Tosi, G.

G. Christmann, G. Tosi, N. G. Berloff, P. Tsotsis, P. S. Eldridge, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, “Polariton ring condensates and sunflower ripples in an expanding quantum liquid,” Phys. Rev. B85(23), 235303 (2012).
[CrossRef]

Tsotsis, P.

G. Christmann, G. Tosi, N. G. Berloff, P. Tsotsis, P. S. Eldridge, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, “Polariton ring condensates and sunflower ripples in an expanding quantum liquid,” Phys. Rev. B85(23), 235303 (2012).
[CrossRef]

E. Kammann, T. C. H. Liew, H. Ohadi, P. Cilibrizzi, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, “Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers,” Phys. Rev. Lett.109(3), 036404 (2012).
[CrossRef] [PubMed]

Utsunomiya, S.

C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
[CrossRef] [PubMed]

Verger, A.

A. Verger, C. Ciuti, and I. Carusotto, “Polariton quantum blockade in a photonic dot,” Phys. Rev. B73(19), 193306 (2006).
[CrossRef]

Vina, L.

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

Weisbuch, C.

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, “Observation of the coupled exciton-photon mode splitting in a semiconductor quantum microcavity,” Phys. Rev. Lett.69(23), 3314–3317 (1992).
[CrossRef] [PubMed]

Wertz, E.

D. Bajoni, E. Semenova, A. Lematre, S. Bouchoule, E. Wertz, P. Senellart, S. Barbay, R. Kuszelewicz, and J. Bloch, “Optical bistability in a GaAs-based polariton diode,” Phys. Rev. Lett.101(26), 266402 (2008).
[CrossRef] [PubMed]

West, K.

R. Balili, V. Hartwell, D. Snoke, L. Pfeiffer, and K. West, “Bose-Einstein condensation of microcavity polaritons in a trap,” Science316(5827), 1007–1010 (2007).
[CrossRef] [PubMed]

Whittaker, D. M.

D. M. Whittaker, “Effects of polariton-energy renormalization in the microcavity optical parametric oscillator,” Phys. Rev. B71(11), 115301 (2005).
[CrossRef]

Wong, K. W.

X. L. Yang, S. H. Guo, F. T. Chan, K. W. Wong, and W. Y. Ching, “Analytic solution of a two-dimensional hydrogen atom. I. Nonrelativistic theory,” Phys.Rev. A43(3), 1186–1196 (1991).
[CrossRef] [PubMed]

Wouters, M.

K. G. Lagoudakis, F. Manni, B. Pietka, M. Wouters, T. C. H. Liew, V. Savona, A. V. Kavokin, R. Andre, and B. Deveaud-Pledran, “Probing the dynamics of spontaneous quantum vortices in polariton superfluids,” Phys. Rev. Lett.106(11), 115301 (2011).
[CrossRef] [PubMed]

K. G. Lagoudakis, B. Pietka, M. Wouters, R. Andre, and B. Deveaud-Pledran, “Coherent oscillations in an exciton-polariton Josephson junction,” Phys. Rev. Lett.105(12), 120403 (2010).
[CrossRef] [PubMed]

T. K. Paraïso, M. Wouters, Y. Léger, F. Morier-Genoud, and B. Deveaud-Plédran, “Multistability of a coherent spin ensemble in a semiconductor microcavity,” Nature Mater.9, 655–660 (2010).
[CrossRef]

Yamamoto, Y.

C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
[CrossRef] [PubMed]

F. Tassone and Y. Yamamoto, “Exciton-exciton scattering dynamics in a semiconductor microcavity and stimulated scattering into polaritons,” Phys. Rev. B59(16), 10830–10842 (1999).
[CrossRef]

Yang, X. L.

X. L. Yang, S. H. Guo, F. T. Chan, K. W. Wong, and W. Y. Ching, “Analytic solution of a two-dimensional hydrogen atom. I. Nonrelativistic theory,” Phys.Rev. A43(3), 1186–1196 (1991).
[CrossRef] [PubMed]

Zhang, Lei

Ayan Das, Junseok Heo, Marc Jankowski, Wei Guo, Lei Zhang, Hui Deng, and Pallab Bhattacharya, “Room temperature ultralow threshold GaN nanowire polariton laser,” Phys. Rev. Lett.107(6), 066405 (2011).
[CrossRef] [PubMed]

Appl. Phys. Lett. (1)

K. V. Kavokin, M. A. Kaliteevski, R. A. Abram, A. V. Kavokin, S. Sharkova, and I. A. Shelykh, “Stimulated emission of terahertz radiation by exciton-polariton lasers,” Appl. Phys. Lett.97(20), 201111 (2010).
[CrossRef]

Europhys. Lett. (1)

N. A. Gippius, S. G. Tikhodeev, V. D. Kulakovskii, D. N. Krizhanovskii, and A. I. Tartakovskii, “Nonlinear dynamics of polariton scattering in semiconductor microcavity: Bistability vs. stimulated scattering,” Europhys. Lett.67(6), 997 (2004).
[CrossRef]

Nature (3)

C. W. Lai, N. Y. Kim, S. Utsunomiya, G. Roumpos, H. Deng, M. D. Fraser, T. Byrnes, P. Recher, N. Kumada, T. Fujisawa, and Y. Yamamoto, “Coherent zero-state and p-state in an exciton-polariton condensate array,” Nature450(7169), 529–532 (2007).
[CrossRef] [PubMed]

A. Amo, D. Sanvitto, F. P. Laussy, D. Ballarini, E. del Valle, M. D. Martin, A. Lemaitre, J. Bloch, D. N. Krizhanovskii, M. S. Skolnick, C. Tejedor, and L. Vina, “Collective fluid dynamics of a polariton condensate in a semiconductor microcavity,” Nature457, 291–295 (2009).
[CrossRef] [PubMed]

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymanska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, “Bose-Einstein condensation of exciton polaritons,” Nature443, 409–414 (2006).
[CrossRef] [PubMed]

Nature Mater. (1)

T. K. Paraïso, M. Wouters, Y. Léger, F. Morier-Genoud, and B. Deveaud-Plédran, “Multistability of a coherent spin ensemble in a semiconductor microcavity,” Nature Mater.9, 655–660 (2010).
[CrossRef]

Nature Photon. (2)

A. Amo, T. H. C. Liew, C. Adrados, R. Houdre, E. Giacobino, A. V. Kavokin, and A. Bramati, “Exciton-polariton spin switches,” Nature Photon.4, 361–366 (2010).
[CrossRef]

M. Sich, D. N. Krizhanovskii, M. S. Skolnick, A. V. Gorbach, R. Hartley, D. V. Skryabin, E. A. Cerda-Mndez, K. Biermann, R. Hey, and P. V. Santoset, “Observation of bright polariton solitons in a semiconductor microcavity,” Nature Photon.6, 50–55 (2012).
[CrossRef]

Nature Photonics (1)

S. Kena-Cohen and S. R. Forrest, “Room-temperature polariton lasing in an organic single-crystal microcavity,” Nature Photonics4, 371–375 (2010).
[CrossRef]

Nature Phys. (3)

R. Hivet, H. Flayac, D. D. Solnyshkov, D. Tanese, T. Boulier, D. Andreoli, E. Giacobino, J. Bloch, A. Bramati, G. Malpuech, and A. Amo, “Half-solitons in a polariton quantum fluid behave like magnetic monopoles,” Nature Phys.8, 724–728 (2012).
[CrossRef]

A. Amo, J. Lefrere, S. Pigeon, C. Adrados, C. Ciuti, I. Carusotto, R. Houdre, E. Giacobino, and A. Bramati, “Superfluidity of polaritons in semiconductor microcavities,” Nature Phys., 5, 805–810 (2009).
[CrossRef]

G. Nardin, G. Grosso, Y. Leger, B. Pietka, F. Morier-Genoud, and B. Deveaud-Pledran, “Hydrodynamic nucleation of quantized vortex pairs in a polariton quantum fluid,” Nature Phys.7, 635–641 (2011).
[CrossRef]

Phys. Rev. A (2)

I. G. Savenko, O. V. Kibis, and I. A. Shelykh, “Asymmetric quantum dot in a microcavity as a nonlinear optical element,” Phys. Rev. A85(5), 053818 (2012).
[CrossRef]

B. C. Jacobs, T. B. Pittman, and J. D. Franson, “Generation of entangled photon holes using quantum interference,” Phys. Rev. A74(4), 010303()R (2006).

Phys. Rev. B (6)

T. C. H. Liew, A. V. Kavokin, T. Ostatnický, M. Kaliteevski, I. A. Shelykh, and R. A. Abram, “Exciton-polariton integrated circuits,” Phys. Rev. B82(3), 033302 (2010).
[CrossRef]

F. Tassone and Y. Yamamoto, “Exciton-exciton scattering dynamics in a semiconductor microcavity and stimulated scattering into polaritons,” Phys. Rev. B59(16), 10830–10842 (1999).
[CrossRef]

A. Verger, C. Ciuti, and I. Carusotto, “Polariton quantum blockade in a photonic dot,” Phys. Rev. B73(19), 193306 (2006).
[CrossRef]

D. M. Whittaker, “Effects of polariton-energy renormalization in the microcavity optical parametric oscillator,” Phys. Rev. B71(11), 115301 (2005).
[CrossRef]

A. Baas, J. P. Karr, M. Romanelli, A. Bramati, and E. Giacobino, “Optical bistability in semiconductor microcavities in the nondegenerate parametric oscillation regime: Analogy with the optical parametric oscillator,” Phys. Rev. B70(16), 161307(R) (2004).
[CrossRef]

G. Christmann, G. Tosi, N. G. Berloff, P. Tsotsis, P. S. Eldridge, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, “Polariton ring condensates and sunflower ripples in an expanding quantum liquid,” Phys. Rev. B85(23), 235303 (2012).
[CrossRef]

Phys. Rev. Lett. (16)

E. Kammann, T. C. H. Liew, H. Ohadi, P. Cilibrizzi, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, “Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers,” Phys. Rev. Lett.109(3), 036404 (2012).
[CrossRef] [PubMed]

S. Christopoulos, G. Baldassarri Höger von Högersthal, A. Grundy, P. G. Lagoudakis, A. V. Kavokin, J. J. Baumberg, G. Christmann, R. Butté, E. Feltin, J.-F. Carlin, and N. Grandjean, “Room-temperature polariton lasing in semiconductor microcavities,” Phys. Rev. Lett.98(12), 126405 (2007).
[CrossRef] [PubMed]

Ayan Das, Junseok Heo, Marc Jankowski, Wei Guo, Lei Zhang, Hui Deng, and Pallab Bhattacharya, “Room temperature ultralow threshold GaN nanowire polariton laser,” Phys. Rev. Lett.107(6), 066405 (2011).
[CrossRef] [PubMed]

K. G. Lagoudakis, F. Manni, B. Pietka, M. Wouters, T. C. H. Liew, V. Savona, A. V. Kavokin, R. Andre, and B. Deveaud-Pledran, “Probing the dynamics of spontaneous quantum vortices in polariton superfluids,” Phys. Rev. Lett.106(11), 115301 (2011).
[CrossRef] [PubMed]

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, “Soliton instabilities and vortex street formation in a polariton quantum fluid,” Phys. Rev. Lett.107(24), 245301 (2011).
[CrossRef]

K. G. Lagoudakis, B. Pietka, M. Wouters, R. Andre, and B. Deveaud-Pledran, “Coherent oscillations in an exciton-polariton Josephson junction,” Phys. Rev. Lett.105(12), 120403 (2010).
[CrossRef] [PubMed]

N. A. Gippius, I. A. Shelykh, D. D. Solnyshkov, S. S. Gavrilov, Yuri G. Rubo, A. V. Kavokin, S. G. Tikhodeev, and G. Malpuech, “Polarization multistability of cavity polaritons,” Phys. Rev. Lett.98(23), 236401 (2007).
[CrossRef] [PubMed]

D. Sarkar, S. S. Gavrilov, M. Sich, J. H. Quilter, R. A. Bradley, N. A. Gippius, K. Guda, V. D. Kulakovskii, M. S. Skolnick, and D. N. Krizhanovskii, “Polarization bistability and resultant spin rings in semiconductor microcavities,” Phys. Rev. Lett.105(21), 216402 (2010).
[CrossRef]

C. Adrados, A. Amo, T. C. H. Liew, R. Hivet, R. Houdr, E. Giacobino, A. V. Kavokin, and A. Bramati, “Spin rings in bistable planar semiconductor microcavities,” Phys. Rev. Lett.105(21), 216403 (2010).
[CrossRef]

T. C. H. Liew, A. V. Kavokin, and I. A. Shelykh, “Optical circuits based on polariton neurons in semiconductor microcavities,” Phys. Rev. Lett.101(1), 016402 (2008).
[CrossRef] [PubMed]

A. V. Kavokin, I. A. Shelykh, T. Taylor, and M. M. Glazov, “Vertical cavity surface emitting terahertz laser,” Phys. Rev. Lett.108(19), 197401 (2012).
[CrossRef] [PubMed]

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, “Observation of the coupled exciton-photon mode splitting in a semiconductor quantum microcavity,” Phys. Rev. Lett.69(23), 3314–3317 (1992).
[CrossRef] [PubMed]

F. Manni, K. G. Lagoudakis, T. C. H. Liew, R. Andre, and B. Deveaud-Pledran, “Spontaneous pattern formation in a polariton condensate,” Phys. Rev. Lett.107(10), 106401 (2011).
[CrossRef] [PubMed]

I. G. Savenko, I. A. Shelykh, and M. A. Kaliteevski, “Nonlinear terahertz emission in semiconductor microcavities,” Phys. Rev. Lett.107(2), 027401 (2011).
[CrossRef] [PubMed]

D. Bajoni, E. Semenova, A. Lematre, S. Bouchoule, E. Wertz, P. Senellart, S. Barbay, R. Kuszelewicz, and J. Bloch, “Optical bistability in a GaAs-based polariton diode,” Phys. Rev. Lett.101(26), 266402 (2008).
[CrossRef] [PubMed]

T. C. H. Liew, A. V. Kavokin, and I. A. Shelykh, “Optical circuits based on polariton neurons in semiconductor microcavities,” Phys. Rev. Lett.100(11), 116401 (2008).
[PubMed]

Phys. Rev. Lett., (1)

I. Carusotto and C. Ciuti, “Probing microcavity polariton superfluidity through resonant Rayleigh scattering,” Phys. Rev. Lett.,93(16), 166401 (2004).
[CrossRef]

Phys. Usp. (1)

V. D. Kulakovskii, A. I. Tartakovskii, D. N. Krizhanovskii, A. Armitage, J. S. Roberts, and M. S. Skolnick, “Two-dimensional excitonic polaritons and their interaction,” Phys. Usp.43(8), 853–857 (2000).
[CrossRef]

Phys.Rev. A (1)

X. L. Yang, S. H. Guo, F. T. Chan, K. W. Wong, and W. Y. Ching, “Analytic solution of a two-dimensional hydrogen atom. I. Nonrelativistic theory,” Phys.Rev. A43(3), 1186–1196 (1991).
[CrossRef] [PubMed]

Physica E (1)

T. C. H. Liew, I. A. Shelykh, and G. Malpuech, “Polaritonic devices,” Physica E43(9), 1543–1568 (2011).
[CrossRef]

Science (3)

K. G. Lagoudakis, T. Ostatnicky, A. V. Kavokin, Y. G. Rubo, R. Andre, and B. Deveaud-Pledran, “Observation of half-quantum vortices in an exciton-polariton condensate,” Science13(5955), 974–976 (2009).
[CrossRef]

R. Balili, V. Hartwell, D. Snoke, L. Pfeiffer, and K. West, “Bose-Einstein condensation of microcavity polaritons in a trap,” Science316(5827), 1007–1010 (2007).
[CrossRef] [PubMed]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332(6034), 1167–1170 (2011).
[CrossRef] [PubMed]

Semicond. Sci. Technol. (1)

I. A. Shelykh, A. V. Kavokin, Yuri G. Rubo, T. C. H. Liew, and G. Malpuech, “Polariton polarization-sensitive phenomena in planar semiconductor microcavities”, Semicond. Sci. Technol.25(1), 013001 (2010).
[CrossRef]

Superlattic. Microstruct. (1)

R. Schmidt-Grund, B. Rheinlnder, C. Czekalla, G. Benndorf, H. Hochmut, A. Rahm, M. Lorenz, and M. Grundmann, “ZnO based planar and micropillar resonators,” Superlattic. Microstruct.41(5–6), 360–363 (2007).
[CrossRef]

Other (1)

A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford University, (2007)).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Geometry of the structure. We consider a microcavity, which is made by Bragg mirrors, with the quantum well inside, where a 2p excitonic state can be excited by two photons(red curves) with energy h̄ω2c each.

Fig. 2
Fig. 2

(a) Energy levels of the QW with 2p excitonic transition placed inside the micro-cavity. We consider the case when the exciton energy is h̄ωp and the photon energy is ω2cωp/2. Possible transitions for N = 1, 2, 3, 4 manifolds for the ideal cavity are represented on the right side of the figure (a). (b) Emission spectrum of the system. The intensity of transitions from individual levels is presented by the blue lines. We consider the case when ω2cωp/2 = 0.71eV, g = 0.025meV and the average number of the excitations in the system 〈N〉 = 30 and the statistics of photons is Poissonian. Including a Lorentzian broadening of each transition line, gives the double peak spectrum of emission shown by the red curve. We consider broadening equals 0.05meV. One can define the value of the Rabi splitting in the system as the distance between the two peaks.

Fig. 3
Fig. 3

Considering the finite lifetime of the photons and external coherent pumping of the cavity, we observed a bistable behaviour of the number of photons on intensity of the coherent pump. (a) The parameters are varied for detuning of the system: (red dashed line) Δa = 0.375meV, Δp = 0.75meV; (green dot line) Δa = 0.25meV, Δp = 0.5meV; (blue bold line) Δa = 0.125meV, Δp = 0.25meV. The influence of the exciton-exciton interaction on the hysteresis curve is illustrated in figure (b), where the cases of αp=0 (red dashed curve) and α p = 6 E B a B 2 / S (red solid curve) are presented. The detuning parameters are Δa = 0.375meV, Δp = 0.75meV.

Equations (52)

Equations on this page are rendered with MathJax. Learn more.

^ = h ¯ ω p p ^ p ^ + h ¯ ω 2 c a ^ a ^ + g ( p ^ a ^ a ^ + p ^ a ^ a ^ ) ,
g = S 2 ( q A 0 μ ) 2 n i E g m 0 2 2 m * Φ n ( 0 ) d r R 21 ( r ) r R 10 ( r ) 2 ω ( E g E n + ω ) i m 0 h ¯ 2 ( E 2 p E n s ) ,
A = e A 0 , A 0 = h ¯ 2 ε ε 0 ω L S ,
2 = ( 2 h ¯ ω 2 c g 2 g 2 h ¯ ω p ) , 3 = ( 3 h ¯ ω 2 c g 6 g 6 h ¯ ( ω p + ω 2 c ) ) ,
E 2 = 2 h ¯ ω c ± g 2 , E 3 = 3 h ¯ ω c ± g 6 .
p ( λ ; N ) = λ N e λ N ! .
Δ Ω R 4 g 2 N ( γ a γ p ) 2 4 .
i h ¯ d p ^ d t = [ p ^ , ^ ] = h ¯ ω p p ^ + g a ^ 2 ,
i h ¯ d a ^ d t = [ a ^ , ^ ] = h ¯ ω a a ^ + 2 g p ^ a ^ .
d p ^ d t = ( i ω p + γ p h ¯ ) p ^ i Ω p a ^ 2 ,
d a ^ d t = ( i ω a + γ a h ¯ ) a ^ 2 i Ω p p ^ a ^ * i h ¯ P e i ω t .
( i h ¯ Δ p + γ p ) p + i h ¯ Ω p a 2 = 0 ,
( i h ¯ Δ a + γ a ) a + 2 i h ¯ Ω p p a * = i P ,
( i h ¯ Δ a + γ a ) a + 2 h ¯ 2 Ω p 2 i h ¯ Δ p + γ p | a | 2 a + i P = 0 .
N a [ 1 + c 1 N a + c 2 N a 2 ] = I a ,
N p = g 2 N a 2 γ p 2 + h ¯ 2 Δ p 2 ,
c 1 = 4 g 2 ( γ a γ p h ¯ 2 Δ a Δ p ) ( h ¯ 2 Δ p 2 + γ p 2 ) ( h ¯ 2 Δ a 2 + γ a 2 ) ,
c 2 = 4 g 4 ( h ¯ 2 Δ p 2 + γ p 2 ) ( h ¯ 2 Δ a 2 + γ a 2 ) ,
I a = | P | 2 h ¯ 2 Δ a 2 + γ a 2 .
int = α p 2 p ^ p ^ p ^ p ^ ,
d p ^ d t = ( i ω p + γ p h ¯ ) p ^ i Ω p a ^ 2 i h ¯ α p p ^ p ^ p ^ ,
d a ^ d t = ( i ω a + γ a h ¯ ) a ^ 2 i Ω p p ^ a ^ * i h ¯ P e i ω t ,
n a + 4 ( ( γ a γ p h ¯ 2 Δ a Δ p ) n p h ¯ Δ a α p n p 2 ) ( h ¯ 2 Δ a 2 + γ a 2 ) + 4 g 2 n p n a ( h ¯ 2 Δ a 2 + γ a 2 ) = I a .
^ = ( p ^ e q e A e ) 2 2 m e + ( p ^ h q h A h ) 2 2 m h + U ( r e r h ) ,
A e = A h = e A 0 , A 0 = h ¯ 2 ε ε 0 ω V ,
W ^ = q A 0 μ e p ^ ,
^ = p ^ 2 2 μ + U ( r ) .
( h ¯ 2 2 μ [ 2 r 2 + 1 r r + 1 r 2 2 ϕ 2 ] q 2 4 π ε 0 ε r ) ψ ( r , ϕ ) = ( E E g ) ψ ( r , ϕ ) ,
ψ ( r , ϕ ) = R ( r ) Φ ( ϕ ) ,
Φ ( ϕ ) = 1 ( 2 π ) 1 / 2 e i l ϕ , l = 0 , ± 1 , ± 2 ,
R n l ( r ) = β n ( 2 | l | ) ! [ ( n | l | 1 ) ! ( 2 n 1 ) ( n | l | 1 ) ! ] 1 / 2 ( β n r ) | l | e β n r / 2 F 1 1 ( n + | l | + 1 , 2 | l | + 1 , β n r ) ,
β n = 2 4 π ε 0 ε ( n 1 / 2 ) μ e 2 h ¯ 2 ,
E n = E g 1 2 ( 4 π ε 0 ε ) 2 ( n 1 / 2 ) μ q 4 h ¯ 2 .
M f i = ξ f | W ^ | ξ ξ | V ^ ( 1 ) | i E i E η + f | V ^ ( 2 ) | i .
| i = δ ( r e r h ) , E i = 2 ω ,
| η = F η ( r e , r h ) = e i P c h ¯ R c S ψ η ( r ) , E η = E g E n + ω .
η | V ^ ( 1 ) | i = q A 0 μ ( e p ^ ) c v d r e d r h δ ( r e r h ) F η ( r e ; r h ) = = q A 0 μ ( e p ^ ) c v R η ( 0 ) 1 S ( 2 π h ¯ ) 2 δ ( P c ) ,
f | W ^ | η = q A 0 μ d R c d r F η * ( r e ; r h ) e p ^ F η ( ( r e ; r h ) ) = = q A 0 μ δ ( P c P c ) 1 S ( 2 π h ¯ ) 2 d r R η * ( r ) e p ^ R η ( r ) = = q A 0 μ ( e p ^ ) η η 1 S ( 2 π h ¯ ) 2 δ ( P c P c ) ,
M f i = S ( q A 0 μ ) 2 η ( e p ^ ) η η ( e p ^ ) c v ψ η ( 0 ) 2 ω ( E g E n + ω ) .
1 m * 2 | ( e p ^ ) c v | 2 E g m 0 2 ,
i h ¯ d x ^ d t = i h ¯ p ^ m 0 = [ x ^ ; ^ ] c | p ^ | v i h ¯ m 0 a E g .
( e p ^ ) c v i h ¯ E g a m 0 ,
p ^ = i h ¯ ^ = i h ¯ ( r ^ r + ϕ ^ 1 r ϕ ) ,
e p ^ = i h ¯ 2 e i ϕ ( r + i 1 r ϕ ) .
R n 0 = β n 1 2 n 1 e β n r 2 F 1 1 ( n 1 , 1 , β n r ) = = β n 1 2 n 1 e β n r 2 L n 1 0 ( β n r ) .
R 21 = β 2 2 6 r e β 2 r 2 .
2 p | p ^ | 1 s = 2 p | m 0 i h ¯ [ ^ , r ^ ] | 1 s = i m 0 h ¯ ( E 2 p E 1 s ) 2 p | r ^ | 1 s .
f | W ^ | η = q A 0 μ δ ( P c P c ) ( 2 π h ¯ ) 2 S δ ( P c P c ) d r R η * ( r ) e p ^ R η ( r ) = = q A 0 μ δ ( P c P c ) ( 2 π h ¯ ) 2 S d r R η * ( r ) e i ϕ 2 ( i h ¯ r ) R η ( r ) = = q A 0 μ δ ( P c P c ) ( 2 π h ¯ ) 2 S d r e i ϕ 2 i m 0 h ¯ ( E η E η ) R η * ( r ) r R η ( r ) ,
2 p | W ^ | n s = q A 0 μ δ ( P c P c ) e i ϕ 2 i m 0 h ¯ ( E 2 p E n s ) ( 2 π h ¯ ) 2 S d r R 2 p * ( r ) r R 1 s ( r ) .
d r R 21 ( r ) r R n 0 ( r ) = 243 ( n 2 ) n 3 ( n + 1 ) n 2 ( 2 n 1 ) 5 ( μ q 2 / ( π ε 0 ε h ¯ 2 ) ) 4 β 2 2 β n 6 ( 2 n 1 ) .
M 2 p , i = S ( q A 0 μ ) 2 n i E g m 0 2 2 m * Φ n ( 0 ) d r R 21 ( r ) r R 10 ( r ) 2 ω ( E g E n + ω ) i m 0 h ¯ 2 ( E 2 p E n s ) .
M 2 p , i = 2 p | ^ | 2 ω = g 2 p | p ^ a ^ + a + + p ^ + a ^ a ^ | 2 ω = g 2 .

Metrics