Abstract

We present and apply a medium-dependent quantum optics formalism for describing the exciton dynamics of two spatially-separated quantum dots on-chip, in the regime of coupled-cavity quantum electrodynamics. With each dot placed in a spatially-separated cavity and coupled through a periodic waveguide channel, the quantum dot excitons behave as a composite entangled pair, exhibiting pronounced entanglement over distances of 300µm and more. The computed light spectra above the two cavities show clear signatures of pronounced photon coupling including increased vacuum Rabi splitting and cavity-induced transmission and absorption. The macroscopic entanglement is confirmed by investigating the Bell inequality, which is shown to be violated for hundreds of picoseconds.

© 2009 Optical Society of America

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  1. A. K. Ekert, "Quantum cryptography based on Bell’s theorem," Phys. Rev. Lett. 67, 661 (1991).
    [CrossRef] [PubMed]
  2. C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, "Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels," Phys. Rev. Lett. 70, 1895 (1993).
    [CrossRef] [PubMed]
  3. C. H. Bennett and S. J. Wiesner, "Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states," Phys. Rev. Lett. 69, 2881 (1992).
    [CrossRef] [PubMed]
  4. J. Vučković and Y. Yamamoto, "Photonic crystal microcavities for cavity quantum electrodynamics with a single quantum dot," Appl. Phys. Lett. 82, 2374 (2003).
    [CrossRef]
  5. W. Chang, W-Y. Chen, H-S. Chang, T-P. Hsieh, J-I. Chyi, and T-M. Hsu, "Efficient single-photon sources based on low-density quantum dots in photonic-crystal nanocavities," Phys. Rev. Lett. 96, 117401 (2006).
    [CrossRef] [PubMed]
  6. K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, "Quantum nature of a strongly coupled single quantum dot cavity system," Nature 445,896 (2007).
    [CrossRef] [PubMed]
  7. D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
    [CrossRef] [PubMed]
  8. T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature 432, 200 (2004).
    [CrossRef] [PubMed]
  9. J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dot semiconductor microcavity system," Nature 432, 197 (2004).
    [CrossRef] [PubMed]
  10. E. Peter, P. Senellart, D. Martrou, A. Lemaitre, J. Hours, J. M. Gérard, and J. Bloch, "Exciton-photon strongcoupling regime for a single quantum dot embedded in a microcavity," Phys. Rev. Lett. 95, 067401 (2005).
    [CrossRef] [PubMed]
  11. S. Hughes and H. Kamada, "Single-quantum-dot strong coupling in a semiconductor photonic crystal nanocavity side coupled to a waveguide," Phys. Rev. B 70, 195313 (2004).
    [CrossRef]
  12. D. Englund, A. Faraon, I. Fushman, N. Stoltz, P. Petroff, and J. Vučković, "Controlling cavity reflectivity with a single quantum dot," Nature 450, 857 (2007).
    [CrossRef] [PubMed]
  13. S. Hughes, "Modified spontaneous emission and qubit entanglement from dipole-coupled quantum dots in a photonic crystal nanocavity," Phys. Rev. Lett. 94, 227402 (2005)
    [CrossRef] [PubMed]
  14. M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z. R. Wasilewski, O. Stern, and A. Forchel, "Coupling and entangling of quantum states in quantum dot molecules," Science 291, 451 (2001).
    [CrossRef] [PubMed]
  15. G. Bester, A. Zunger, and J. Shumway "Broken symmetry and quantum entanglement of an exciton in InxGa1−xAsGaAs quantum dot molecules," Phys. Rev. B 71, 075325 (2005).
    [CrossRef]
  16. Y. Akahane, T. Asano, B. S. Song, and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature 425, 944 (2003).
    [CrossRef] [PubMed]
  17. M. Wubs, L. G. Suttorp, and A. Lagendijk, "Multiple-scattering approach to interatomic interactions and superradiance in inhomogeneous dielectrics," Phys. Rev. A 70, 053823 (2004).
    [CrossRef]
  18. S. Hughes, "Coupled-cavity QED using planar photonic crystals," Phys. Rev. Lett. 98, 083603 (2007).
    [CrossRef] [PubMed]
  19. S. Hughes, H. Gotoh, and H. Kamada, "Classical and quantum optical correlation effects between single quantum dots: the role of the hopping photon," Phys. Rev. B 74, 115334 (2006).
    [CrossRef]
  20. A. Cowan and J. F. Young, "Optical bistability involving photonic crystal microcavities and Fano line shapes," Phys. Rev. E 68, 46606 (2003).
    [CrossRef]
  21. W. K. Wootters, "Entanglement of formation of an arbitrary state of two qubits," Phys. Rev. Lett. 80, 2245 (1998).
    [CrossRef]
  22. K. L. Silverman, R. P. Mirin, S. T. Cundiff, and A. G. Norman, "Direct measurement of polarization resolved transition dipole moment in InGaAs/GaAs quantum dots," Appl. Phys. Lett. 82, 4552 (2003).
    [CrossRef]
  23. T. H. Stievater, Xiaoqin Li, D. G. Steel, D. Gammon, D. S. Katzer, D. Park, C. Piermarocchi, and L. J. Sham, "Rabi oscillations of excitons in single quantum dots," Phys. Rev. Lett. 87, 133603 (2001).
    [CrossRef] [PubMed]
  24. E. Waks and J. Vučković, "Dipole induced transparency in drop-filter cavity-waveguide systems," Phys. Rev. Lett. 96, 153601 (2006).
    [CrossRef] [PubMed]
  25. B. R. Mollow, "Power spectrum of light scattered by two-level systems," Phys.Rev. 188, 1969 (1969).
    [CrossRef]
  26. W. Langbein, P. Borri, U. Woggon, V. Stavarache, D. Reuter, and A. D. Wieck, "Radiatively limited dephasing in InAs quantum dots," Phys. Rev. B 70, 033301 (2004).
    [CrossRef]
  27. J. S. Bell, "On the problem of hidden variables in quantum mechanics," Physics 1, 195 (1964).
  28. A. Einstein, B. Podolsky, and N. Rosen, "Can quantum-mechanical description of physical reality be considered complete?," Phys. Rev. 47, 777 (1935).
    [CrossRef]
  29. A. Beige, W. J. Munro, and P. L. Knight, "Bell’s inequality test with entangled atoms," Phys. Rev. A 62, 052102 (2000).
    [CrossRef]
  30. S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in photonic crystal waveguides: role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 33903 (2005).
    [CrossRef]

2007 (3)

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, "Quantum nature of a strongly coupled single quantum dot cavity system," Nature 445,896 (2007).
[CrossRef] [PubMed]

D. Englund, A. Faraon, I. Fushman, N. Stoltz, P. Petroff, and J. Vučković, "Controlling cavity reflectivity with a single quantum dot," Nature 450, 857 (2007).
[CrossRef] [PubMed]

S. Hughes, "Coupled-cavity QED using planar photonic crystals," Phys. Rev. Lett. 98, 083603 (2007).
[CrossRef] [PubMed]

2006 (3)

S. Hughes, H. Gotoh, and H. Kamada, "Classical and quantum optical correlation effects between single quantum dots: the role of the hopping photon," Phys. Rev. B 74, 115334 (2006).
[CrossRef]

E. Waks and J. Vučković, "Dipole induced transparency in drop-filter cavity-waveguide systems," Phys. Rev. Lett. 96, 153601 (2006).
[CrossRef] [PubMed]

W. Chang, W-Y. Chen, H-S. Chang, T-P. Hsieh, J-I. Chyi, and T-M. Hsu, "Efficient single-photon sources based on low-density quantum dots in photonic-crystal nanocavities," Phys. Rev. Lett. 96, 117401 (2006).
[CrossRef] [PubMed]

2005 (5)

G. Bester, A. Zunger, and J. Shumway "Broken symmetry and quantum entanglement of an exciton in InxGa1−xAsGaAs quantum dot molecules," Phys. Rev. B 71, 075325 (2005).
[CrossRef]

S. Hughes, "Modified spontaneous emission and qubit entanglement from dipole-coupled quantum dots in a photonic crystal nanocavity," Phys. Rev. Lett. 94, 227402 (2005)
[CrossRef] [PubMed]

E. Peter, P. Senellart, D. Martrou, A. Lemaitre, J. Hours, J. M. Gérard, and J. Bloch, "Exciton-photon strongcoupling regime for a single quantum dot embedded in a microcavity," Phys. Rev. Lett. 95, 067401 (2005).
[CrossRef] [PubMed]

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in photonic crystal waveguides: role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 33903 (2005).
[CrossRef]

2004 (5)

W. Langbein, P. Borri, U. Woggon, V. Stavarache, D. Reuter, and A. D. Wieck, "Radiatively limited dephasing in InAs quantum dots," Phys. Rev. B 70, 033301 (2004).
[CrossRef]

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature 432, 200 (2004).
[CrossRef] [PubMed]

J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dot semiconductor microcavity system," Nature 432, 197 (2004).
[CrossRef] [PubMed]

S. Hughes and H. Kamada, "Single-quantum-dot strong coupling in a semiconductor photonic crystal nanocavity side coupled to a waveguide," Phys. Rev. B 70, 195313 (2004).
[CrossRef]

M. Wubs, L. G. Suttorp, and A. Lagendijk, "Multiple-scattering approach to interatomic interactions and superradiance in inhomogeneous dielectrics," Phys. Rev. A 70, 053823 (2004).
[CrossRef]

2003 (4)

Y. Akahane, T. Asano, B. S. Song, and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature 425, 944 (2003).
[CrossRef] [PubMed]

J. Vučković and Y. Yamamoto, "Photonic crystal microcavities for cavity quantum electrodynamics with a single quantum dot," Appl. Phys. Lett. 82, 2374 (2003).
[CrossRef]

K. L. Silverman, R. P. Mirin, S. T. Cundiff, and A. G. Norman, "Direct measurement of polarization resolved transition dipole moment in InGaAs/GaAs quantum dots," Appl. Phys. Lett. 82, 4552 (2003).
[CrossRef]

A. Cowan and J. F. Young, "Optical bistability involving photonic crystal microcavities and Fano line shapes," Phys. Rev. E 68, 46606 (2003).
[CrossRef]

2001 (2)

T. H. Stievater, Xiaoqin Li, D. G. Steel, D. Gammon, D. S. Katzer, D. Park, C. Piermarocchi, and L. J. Sham, "Rabi oscillations of excitons in single quantum dots," Phys. Rev. Lett. 87, 133603 (2001).
[CrossRef] [PubMed]

T. H. Stievater, Xiaoqin Li, D. G. Steel, D. Gammon, D. S. Katzer, D. Park, C. Piermarocchi, and L. J. Sham, "Rabi oscillations of excitons in single quantum dots," Phys. Rev. Lett. 87, 133603 (2001).
[CrossRef] [PubMed]

M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z. R. Wasilewski, O. Stern, and A. Forchel, "Coupling and entangling of quantum states in quantum dot molecules," Science 291, 451 (2001).
[CrossRef] [PubMed]

2000 (1)

A. Beige, W. J. Munro, and P. L. Knight, "Bell’s inequality test with entangled atoms," Phys. Rev. A 62, 052102 (2000).
[CrossRef]

1998 (1)

W. K. Wootters, "Entanglement of formation of an arbitrary state of two qubits," Phys. Rev. Lett. 80, 2245 (1998).
[CrossRef]

1993 (1)

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, "Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels," Phys. Rev. Lett. 70, 1895 (1993).
[CrossRef] [PubMed]

1992 (1)

C. H. Bennett and S. J. Wiesner, "Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states," Phys. Rev. Lett. 69, 2881 (1992).
[CrossRef] [PubMed]

1991 (1)

A. K. Ekert, "Quantum cryptography based on Bell’s theorem," Phys. Rev. Lett. 67, 661 (1991).
[CrossRef] [PubMed]

1969 (1)

B. R. Mollow, "Power spectrum of light scattered by two-level systems," Phys.Rev. 188, 1969 (1969).
[CrossRef]

1964 (1)

J. S. Bell, "On the problem of hidden variables in quantum mechanics," Physics 1, 195 (1964).

1935 (1)

A. Einstein, B. Podolsky, and N. Rosen, "Can quantum-mechanical description of physical reality be considered complete?," Phys. Rev. 47, 777 (1935).
[CrossRef]

Akahane, Y.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature 425, 944 (2003).
[CrossRef] [PubMed]

Arakawa, Y.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Asano, T.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature 425, 944 (2003).
[CrossRef] [PubMed]

Atatüre, M.

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, "Quantum nature of a strongly coupled single quantum dot cavity system," Nature 445,896 (2007).
[CrossRef] [PubMed]

Badolato, A.

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, "Quantum nature of a strongly coupled single quantum dot cavity system," Nature 445,896 (2007).
[CrossRef] [PubMed]

Bayer, M.

M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z. R. Wasilewski, O. Stern, and A. Forchel, "Coupling and entangling of quantum states in quantum dot molecules," Science 291, 451 (2001).
[CrossRef] [PubMed]

Beige, A.

A. Beige, W. J. Munro, and P. L. Knight, "Bell’s inequality test with entangled atoms," Phys. Rev. A 62, 052102 (2000).
[CrossRef]

Bell, J. S.

J. S. Bell, "On the problem of hidden variables in quantum mechanics," Physics 1, 195 (1964).

Bennett, C. H.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, "Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels," Phys. Rev. Lett. 70, 1895 (1993).
[CrossRef] [PubMed]

C. H. Bennett and S. J. Wiesner, "Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states," Phys. Rev. Lett. 69, 2881 (1992).
[CrossRef] [PubMed]

Bester, G.

G. Bester, A. Zunger, and J. Shumway "Broken symmetry and quantum entanglement of an exciton in InxGa1−xAsGaAs quantum dot molecules," Phys. Rev. B 71, 075325 (2005).
[CrossRef]

Bloch, J.

E. Peter, P. Senellart, D. Martrou, A. Lemaitre, J. Hours, J. M. Gérard, and J. Bloch, "Exciton-photon strongcoupling regime for a single quantum dot embedded in a microcavity," Phys. Rev. Lett. 95, 067401 (2005).
[CrossRef] [PubMed]

Borri, P.

W. Langbein, P. Borri, U. Woggon, V. Stavarache, D. Reuter, and A. D. Wieck, "Radiatively limited dephasing in InAs quantum dots," Phys. Rev. B 70, 033301 (2004).
[CrossRef]

Brassard, G.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, "Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels," Phys. Rev. Lett. 70, 1895 (1993).
[CrossRef] [PubMed]

Chang, H-S.

W. Chang, W-Y. Chen, H-S. Chang, T-P. Hsieh, J-I. Chyi, and T-M. Hsu, "Efficient single-photon sources based on low-density quantum dots in photonic-crystal nanocavities," Phys. Rev. Lett. 96, 117401 (2006).
[CrossRef] [PubMed]

Chang, W.

W. Chang, W-Y. Chen, H-S. Chang, T-P. Hsieh, J-I. Chyi, and T-M. Hsu, "Efficient single-photon sources based on low-density quantum dots in photonic-crystal nanocavities," Phys. Rev. Lett. 96, 117401 (2006).
[CrossRef] [PubMed]

Chen, W-Y.

W. Chang, W-Y. Chen, H-S. Chang, T-P. Hsieh, J-I. Chyi, and T-M. Hsu, "Efficient single-photon sources based on low-density quantum dots in photonic-crystal nanocavities," Phys. Rev. Lett. 96, 117401 (2006).
[CrossRef] [PubMed]

Chyi, J-I.

W. Chang, W-Y. Chen, H-S. Chang, T-P. Hsieh, J-I. Chyi, and T-M. Hsu, "Efficient single-photon sources based on low-density quantum dots in photonic-crystal nanocavities," Phys. Rev. Lett. 96, 117401 (2006).
[CrossRef] [PubMed]

Cowan, A.

A. Cowan and J. F. Young, "Optical bistability involving photonic crystal microcavities and Fano line shapes," Phys. Rev. E 68, 46606 (2003).
[CrossRef]

Crépeau, C.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, "Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels," Phys. Rev. Lett. 70, 1895 (1993).
[CrossRef] [PubMed]

Cundiff, S. T.

K. L. Silverman, R. P. Mirin, S. T. Cundiff, and A. G. Norman, "Direct measurement of polarization resolved transition dipole moment in InGaAs/GaAs quantum dots," Appl. Phys. Lett. 82, 4552 (2003).
[CrossRef]

Deppe, D. G.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature 432, 200 (2004).
[CrossRef] [PubMed]

Einstein, A.

A. Einstein, B. Podolsky, and N. Rosen, "Can quantum-mechanical description of physical reality be considered complete?," Phys. Rev. 47, 777 (1935).
[CrossRef]

Ekert, A. K.

A. K. Ekert, "Quantum cryptography based on Bell’s theorem," Phys. Rev. Lett. 67, 661 (1991).
[CrossRef] [PubMed]

Ell, C.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature 432, 200 (2004).
[CrossRef] [PubMed]

Englund, D.

D. Englund, A. Faraon, I. Fushman, N. Stoltz, P. Petroff, and J. Vučković, "Controlling cavity reflectivity with a single quantum dot," Nature 450, 857 (2007).
[CrossRef] [PubMed]

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Fafard, S.

M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z. R. Wasilewski, O. Stern, and A. Forchel, "Coupling and entangling of quantum states in quantum dot molecules," Science 291, 451 (2001).
[CrossRef] [PubMed]

Fält, S.

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, "Quantum nature of a strongly coupled single quantum dot cavity system," Nature 445,896 (2007).
[CrossRef] [PubMed]

Faraon, A.

D. Englund, A. Faraon, I. Fushman, N. Stoltz, P. Petroff, and J. Vučković, "Controlling cavity reflectivity with a single quantum dot," Nature 450, 857 (2007).
[CrossRef] [PubMed]

Fattal, D.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Forchel, A.

J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dot semiconductor microcavity system," Nature 432, 197 (2004).
[CrossRef] [PubMed]

M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z. R. Wasilewski, O. Stern, and A. Forchel, "Coupling and entangling of quantum states in quantum dot molecules," Science 291, 451 (2001).
[CrossRef] [PubMed]

Fushman, I.

D. Englund, A. Faraon, I. Fushman, N. Stoltz, P. Petroff, and J. Vučković, "Controlling cavity reflectivity with a single quantum dot," Nature 450, 857 (2007).
[CrossRef] [PubMed]

Gerace, D.

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, "Quantum nature of a strongly coupled single quantum dot cavity system," Nature 445,896 (2007).
[CrossRef] [PubMed]

Gérard, J. M.

E. Peter, P. Senellart, D. Martrou, A. Lemaitre, J. Hours, J. M. Gérard, and J. Bloch, "Exciton-photon strongcoupling regime for a single quantum dot embedded in a microcavity," Phys. Rev. Lett. 95, 067401 (2005).
[CrossRef] [PubMed]

Gibbs, H. M.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature 432, 200 (2004).
[CrossRef] [PubMed]

Gotoh, H.

S. Hughes, H. Gotoh, and H. Kamada, "Classical and quantum optical correlation effects between single quantum dots: the role of the hopping photon," Phys. Rev. B 74, 115334 (2006).
[CrossRef]

Gulde, S.

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, "Quantum nature of a strongly coupled single quantum dot cavity system," Nature 445,896 (2007).
[CrossRef] [PubMed]

Hawrylak, P.

M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z. R. Wasilewski, O. Stern, and A. Forchel, "Coupling and entangling of quantum states in quantum dot molecules," Science 291, 451 (2001).
[CrossRef] [PubMed]

Hendrickson, J.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature 432, 200 (2004).
[CrossRef] [PubMed]

Hennessy, K.

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, "Quantum nature of a strongly coupled single quantum dot cavity system," Nature 445,896 (2007).
[CrossRef] [PubMed]

Hinzer, K.

M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z. R. Wasilewski, O. Stern, and A. Forchel, "Coupling and entangling of quantum states in quantum dot molecules," Science 291, 451 (2001).
[CrossRef] [PubMed]

Hofmann, C.

J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dot semiconductor microcavity system," Nature 432, 197 (2004).
[CrossRef] [PubMed]

Hours, J.

E. Peter, P. Senellart, D. Martrou, A. Lemaitre, J. Hours, J. M. Gérard, and J. Bloch, "Exciton-photon strongcoupling regime for a single quantum dot embedded in a microcavity," Phys. Rev. Lett. 95, 067401 (2005).
[CrossRef] [PubMed]

Hsieh, T-P.

W. Chang, W-Y. Chen, H-S. Chang, T-P. Hsieh, J-I. Chyi, and T-M. Hsu, "Efficient single-photon sources based on low-density quantum dots in photonic-crystal nanocavities," Phys. Rev. Lett. 96, 117401 (2006).
[CrossRef] [PubMed]

Hsu, T-M.

W. Chang, W-Y. Chen, H-S. Chang, T-P. Hsieh, J-I. Chyi, and T-M. Hsu, "Efficient single-photon sources based on low-density quantum dots in photonic-crystal nanocavities," Phys. Rev. Lett. 96, 117401 (2006).
[CrossRef] [PubMed]

Hu, E. L.

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, "Quantum nature of a strongly coupled single quantum dot cavity system," Nature 445,896 (2007).
[CrossRef] [PubMed]

Hughes, S.

S. Hughes, "Coupled-cavity QED using planar photonic crystals," Phys. Rev. Lett. 98, 083603 (2007).
[CrossRef] [PubMed]

S. Hughes, H. Gotoh, and H. Kamada, "Classical and quantum optical correlation effects between single quantum dots: the role of the hopping photon," Phys. Rev. B 74, 115334 (2006).
[CrossRef]

S. Hughes, "Modified spontaneous emission and qubit entanglement from dipole-coupled quantum dots in a photonic crystal nanocavity," Phys. Rev. Lett. 94, 227402 (2005)
[CrossRef] [PubMed]

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in photonic crystal waveguides: role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 33903 (2005).
[CrossRef]

S. Hughes and H. Kamada, "Single-quantum-dot strong coupling in a semiconductor photonic crystal nanocavity side coupled to a waveguide," Phys. Rev. B 70, 195313 (2004).
[CrossRef]

Imamoglu, A.

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, "Quantum nature of a strongly coupled single quantum dot cavity system," Nature 445,896 (2007).
[CrossRef] [PubMed]

Jozsa, R.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, "Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels," Phys. Rev. Lett. 70, 1895 (1993).
[CrossRef] [PubMed]

Kamada, H.

S. Hughes, H. Gotoh, and H. Kamada, "Classical and quantum optical correlation effects between single quantum dots: the role of the hopping photon," Phys. Rev. B 74, 115334 (2006).
[CrossRef]

S. Hughes and H. Kamada, "Single-quantum-dot strong coupling in a semiconductor photonic crystal nanocavity side coupled to a waveguide," Phys. Rev. B 70, 195313 (2004).
[CrossRef]

Keldysh, L. V.

J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dot semiconductor microcavity system," Nature 432, 197 (2004).
[CrossRef] [PubMed]

Khitrova, G.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature 432, 200 (2004).
[CrossRef] [PubMed]

Knight, P. L.

A. Beige, W. J. Munro, and P. L. Knight, "Bell’s inequality test with entangled atoms," Phys. Rev. A 62, 052102 (2000).
[CrossRef]

Korkusinski, M.

M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z. R. Wasilewski, O. Stern, and A. Forchel, "Coupling and entangling of quantum states in quantum dot molecules," Science 291, 451 (2001).
[CrossRef] [PubMed]

Kuhn, S.

J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dot semiconductor microcavity system," Nature 432, 197 (2004).
[CrossRef] [PubMed]

Kulakovskii, V. D.

J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dot semiconductor microcavity system," Nature 432, 197 (2004).
[CrossRef] [PubMed]

Lagendijk, A.

M. Wubs, L. G. Suttorp, and A. Lagendijk, "Multiple-scattering approach to interatomic interactions and superradiance in inhomogeneous dielectrics," Phys. Rev. A 70, 053823 (2004).
[CrossRef]

Langbein, W.

W. Langbein, P. Borri, U. Woggon, V. Stavarache, D. Reuter, and A. D. Wieck, "Radiatively limited dephasing in InAs quantum dots," Phys. Rev. B 70, 033301 (2004).
[CrossRef]

Lemaitre, A.

E. Peter, P. Senellart, D. Martrou, A. Lemaitre, J. Hours, J. M. Gérard, and J. Bloch, "Exciton-photon strongcoupling regime for a single quantum dot embedded in a microcavity," Phys. Rev. Lett. 95, 067401 (2005).
[CrossRef] [PubMed]

Löffler, A.

J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dot semiconductor microcavity system," Nature 432, 197 (2004).
[CrossRef] [PubMed]

Martrou, D.

E. Peter, P. Senellart, D. Martrou, A. Lemaitre, J. Hours, J. M. Gérard, and J. Bloch, "Exciton-photon strongcoupling regime for a single quantum dot embedded in a microcavity," Phys. Rev. Lett. 95, 067401 (2005).
[CrossRef] [PubMed]

Mirin, R. P.

K. L. Silverman, R. P. Mirin, S. T. Cundiff, and A. G. Norman, "Direct measurement of polarization resolved transition dipole moment in InGaAs/GaAs quantum dots," Appl. Phys. Lett. 82, 4552 (2003).
[CrossRef]

Mollow, B. R.

B. R. Mollow, "Power spectrum of light scattered by two-level systems," Phys.Rev. 188, 1969 (1969).
[CrossRef]

Munro, W. J.

A. Beige, W. J. Munro, and P. L. Knight, "Bell’s inequality test with entangled atoms," Phys. Rev. A 62, 052102 (2000).
[CrossRef]

Nakaoka, T.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Noda, S.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature 425, 944 (2003).
[CrossRef] [PubMed]

Norman, A. G.

K. L. Silverman, R. P. Mirin, S. T. Cundiff, and A. G. Norman, "Direct measurement of polarization resolved transition dipole moment in InGaAs/GaAs quantum dots," Appl. Phys. Lett. 82, 4552 (2003).
[CrossRef]

Peres, A.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, "Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels," Phys. Rev. Lett. 70, 1895 (1993).
[CrossRef] [PubMed]

Peter, E.

E. Peter, P. Senellart, D. Martrou, A. Lemaitre, J. Hours, J. M. Gérard, and J. Bloch, "Exciton-photon strongcoupling regime for a single quantum dot embedded in a microcavity," Phys. Rev. Lett. 95, 067401 (2005).
[CrossRef] [PubMed]

Petroff, P.

D. Englund, A. Faraon, I. Fushman, N. Stoltz, P. Petroff, and J. Vučković, "Controlling cavity reflectivity with a single quantum dot," Nature 450, 857 (2007).
[CrossRef] [PubMed]

Podolsky, B.

A. Einstein, B. Podolsky, and N. Rosen, "Can quantum-mechanical description of physical reality be considered complete?," Phys. Rev. 47, 777 (1935).
[CrossRef]

Ramunno, L.

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in photonic crystal waveguides: role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 33903 (2005).
[CrossRef]

Reinecke, T. L.

J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dot semiconductor microcavity system," Nature 432, 197 (2004).
[CrossRef] [PubMed]

Reithmaier, J. P.

J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dot semiconductor microcavity system," Nature 432, 197 (2004).
[CrossRef] [PubMed]

Reitzenstein, S.

J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dot semiconductor microcavity system," Nature 432, 197 (2004).
[CrossRef] [PubMed]

Reuter, D.

W. Langbein, P. Borri, U. Woggon, V. Stavarache, D. Reuter, and A. D. Wieck, "Radiatively limited dephasing in InAs quantum dots," Phys. Rev. B 70, 033301 (2004).
[CrossRef]

Rosen, N.

A. Einstein, B. Podolsky, and N. Rosen, "Can quantum-mechanical description of physical reality be considered complete?," Phys. Rev. 47, 777 (1935).
[CrossRef]

Rupper, G.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature 432, 200 (2004).
[CrossRef] [PubMed]

Scherer, A.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature 432, 200 (2004).
[CrossRef] [PubMed]

Sek, G.

J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dot semiconductor microcavity system," Nature 432, 197 (2004).
[CrossRef] [PubMed]

Senellart, P.

E. Peter, P. Senellart, D. Martrou, A. Lemaitre, J. Hours, J. M. Gérard, and J. Bloch, "Exciton-photon strongcoupling regime for a single quantum dot embedded in a microcavity," Phys. Rev. Lett. 95, 067401 (2005).
[CrossRef] [PubMed]

Shchekin, O. B.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature 432, 200 (2004).
[CrossRef] [PubMed]

Shumway, J.

G. Bester, A. Zunger, and J. Shumway "Broken symmetry and quantum entanglement of an exciton in InxGa1−xAsGaAs quantum dot molecules," Phys. Rev. B 71, 075325 (2005).
[CrossRef]

Silverman, K. L.

K. L. Silverman, R. P. Mirin, S. T. Cundiff, and A. G. Norman, "Direct measurement of polarization resolved transition dipole moment in InGaAs/GaAs quantum dots," Appl. Phys. Lett. 82, 4552 (2003).
[CrossRef]

Sipe, J. E.

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in photonic crystal waveguides: role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 33903 (2005).
[CrossRef]

Solomon, G.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Song, B. S.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature 425, 944 (2003).
[CrossRef] [PubMed]

Stavarache, V.

W. Langbein, P. Borri, U. Woggon, V. Stavarache, D. Reuter, and A. D. Wieck, "Radiatively limited dephasing in InAs quantum dots," Phys. Rev. B 70, 033301 (2004).
[CrossRef]

Stern, O.

M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z. R. Wasilewski, O. Stern, and A. Forchel, "Coupling and entangling of quantum states in quantum dot molecules," Science 291, 451 (2001).
[CrossRef] [PubMed]

Stievater, T. H.

T. H. Stievater, Xiaoqin Li, D. G. Steel, D. Gammon, D. S. Katzer, D. Park, C. Piermarocchi, and L. J. Sham, "Rabi oscillations of excitons in single quantum dots," Phys. Rev. Lett. 87, 133603 (2001).
[CrossRef] [PubMed]

Stoltz, N.

D. Englund, A. Faraon, I. Fushman, N. Stoltz, P. Petroff, and J. Vučković, "Controlling cavity reflectivity with a single quantum dot," Nature 450, 857 (2007).
[CrossRef] [PubMed]

Suttorp, L. G.

M. Wubs, L. G. Suttorp, and A. Lagendijk, "Multiple-scattering approach to interatomic interactions and superradiance in inhomogeneous dielectrics," Phys. Rev. A 70, 053823 (2004).
[CrossRef]

Vuckovic, J.

D. Englund, A. Faraon, I. Fushman, N. Stoltz, P. Petroff, and J. Vučković, "Controlling cavity reflectivity with a single quantum dot," Nature 450, 857 (2007).
[CrossRef] [PubMed]

E. Waks and J. Vučković, "Dipole induced transparency in drop-filter cavity-waveguide systems," Phys. Rev. Lett. 96, 153601 (2006).
[CrossRef] [PubMed]

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

J. Vučković and Y. Yamamoto, "Photonic crystal microcavities for cavity quantum electrodynamics with a single quantum dot," Appl. Phys. Lett. 82, 2374 (2003).
[CrossRef]

Waks, E.

E. Waks and J. Vučković, "Dipole induced transparency in drop-filter cavity-waveguide systems," Phys. Rev. Lett. 96, 153601 (2006).
[CrossRef] [PubMed]

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Wasilewski, Z. R.

M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z. R. Wasilewski, O. Stern, and A. Forchel, "Coupling and entangling of quantum states in quantum dot molecules," Science 291, 451 (2001).
[CrossRef] [PubMed]

Wieck, A. D.

W. Langbein, P. Borri, U. Woggon, V. Stavarache, D. Reuter, and A. D. Wieck, "Radiatively limited dephasing in InAs quantum dots," Phys. Rev. B 70, 033301 (2004).
[CrossRef]

Wiesner, S. J.

C. H. Bennett and S. J. Wiesner, "Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states," Phys. Rev. Lett. 69, 2881 (1992).
[CrossRef] [PubMed]

Winger, M.

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, "Quantum nature of a strongly coupled single quantum dot cavity system," Nature 445,896 (2007).
[CrossRef] [PubMed]

Woggon, U.

W. Langbein, P. Borri, U. Woggon, V. Stavarache, D. Reuter, and A. D. Wieck, "Radiatively limited dephasing in InAs quantum dots," Phys. Rev. B 70, 033301 (2004).
[CrossRef]

Wootters, W. K.

W. K. Wootters, "Entanglement of formation of an arbitrary state of two qubits," Phys. Rev. Lett. 80, 2245 (1998).
[CrossRef]

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, "Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels," Phys. Rev. Lett. 70, 1895 (1993).
[CrossRef] [PubMed]

Wubs, M.

M. Wubs, L. G. Suttorp, and A. Lagendijk, "Multiple-scattering approach to interatomic interactions and superradiance in inhomogeneous dielectrics," Phys. Rev. A 70, 053823 (2004).
[CrossRef]

Xiaoqin Li, T. H.

T. H. Stievater, Xiaoqin Li, D. G. Steel, D. Gammon, D. S. Katzer, D. Park, C. Piermarocchi, and L. J. Sham, "Rabi oscillations of excitons in single quantum dots," Phys. Rev. Lett. 87, 133603 (2001).
[CrossRef] [PubMed]

Yamamoto, Y.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

J. Vučković and Y. Yamamoto, "Photonic crystal microcavities for cavity quantum electrodynamics with a single quantum dot," Appl. Phys. Lett. 82, 2374 (2003).
[CrossRef]

Yoshie, T.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature 432, 200 (2004).
[CrossRef] [PubMed]

Young, J. F.

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in photonic crystal waveguides: role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 33903 (2005).
[CrossRef]

A. Cowan and J. F. Young, "Optical bistability involving photonic crystal microcavities and Fano line shapes," Phys. Rev. E 68, 46606 (2003).
[CrossRef]

Zhang, B.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Zunger, A.

G. Bester, A. Zunger, and J. Shumway "Broken symmetry and quantum entanglement of an exciton in InxGa1−xAsGaAs quantum dot molecules," Phys. Rev. B 71, 075325 (2005).
[CrossRef]

Appl. Phys. Lett. (2)

J. Vučković and Y. Yamamoto, "Photonic crystal microcavities for cavity quantum electrodynamics with a single quantum dot," Appl. Phys. Lett. 82, 2374 (2003).
[CrossRef]

K. L. Silverman, R. P. Mirin, S. T. Cundiff, and A. G. Norman, "Direct measurement of polarization resolved transition dipole moment in InGaAs/GaAs quantum dots," Appl. Phys. Lett. 82, 4552 (2003).
[CrossRef]

Nature (5)

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, "Quantum nature of a strongly coupled single quantum dot cavity system," Nature 445,896 (2007).
[CrossRef] [PubMed]

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature 432, 200 (2004).
[CrossRef] [PubMed]

J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dot semiconductor microcavity system," Nature 432, 197 (2004).
[CrossRef] [PubMed]

D. Englund, A. Faraon, I. Fushman, N. Stoltz, P. Petroff, and J. Vučković, "Controlling cavity reflectivity with a single quantum dot," Nature 450, 857 (2007).
[CrossRef] [PubMed]

Y. Akahane, T. Asano, B. S. Song, and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature 425, 944 (2003).
[CrossRef] [PubMed]

Phys. Rev. (1)

A. Einstein, B. Podolsky, and N. Rosen, "Can quantum-mechanical description of physical reality be considered complete?," Phys. Rev. 47, 777 (1935).
[CrossRef]

Phys. Rev. A (2)

A. Beige, W. J. Munro, and P. L. Knight, "Bell’s inequality test with entangled atoms," Phys. Rev. A 62, 052102 (2000).
[CrossRef]

M. Wubs, L. G. Suttorp, and A. Lagendijk, "Multiple-scattering approach to interatomic interactions and superradiance in inhomogeneous dielectrics," Phys. Rev. A 70, 053823 (2004).
[CrossRef]

Phys. Rev. B (4)

S. Hughes, H. Gotoh, and H. Kamada, "Classical and quantum optical correlation effects between single quantum dots: the role of the hopping photon," Phys. Rev. B 74, 115334 (2006).
[CrossRef]

S. Hughes and H. Kamada, "Single-quantum-dot strong coupling in a semiconductor photonic crystal nanocavity side coupled to a waveguide," Phys. Rev. B 70, 195313 (2004).
[CrossRef]

G. Bester, A. Zunger, and J. Shumway "Broken symmetry and quantum entanglement of an exciton in InxGa1−xAsGaAs quantum dot molecules," Phys. Rev. B 71, 075325 (2005).
[CrossRef]

W. Langbein, P. Borri, U. Woggon, V. Stavarache, D. Reuter, and A. D. Wieck, "Radiatively limited dephasing in InAs quantum dots," Phys. Rev. B 70, 033301 (2004).
[CrossRef]

Phys. Rev. E (1)

A. Cowan and J. F. Young, "Optical bistability involving photonic crystal microcavities and Fano line shapes," Phys. Rev. E 68, 46606 (2003).
[CrossRef]

Phys. Rev. Lett. (12)

W. K. Wootters, "Entanglement of formation of an arbitrary state of two qubits," Phys. Rev. Lett. 80, 2245 (1998).
[CrossRef]

S. Hughes, "Coupled-cavity QED using planar photonic crystals," Phys. Rev. Lett. 98, 083603 (2007).
[CrossRef] [PubMed]

S. Hughes, "Modified spontaneous emission and qubit entanglement from dipole-coupled quantum dots in a photonic crystal nanocavity," Phys. Rev. Lett. 94, 227402 (2005)
[CrossRef] [PubMed]

E. Peter, P. Senellart, D. Martrou, A. Lemaitre, J. Hours, J. M. Gérard, and J. Bloch, "Exciton-photon strongcoupling regime for a single quantum dot embedded in a microcavity," Phys. Rev. Lett. 95, 067401 (2005).
[CrossRef] [PubMed]

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

W. Chang, W-Y. Chen, H-S. Chang, T-P. Hsieh, J-I. Chyi, and T-M. Hsu, "Efficient single-photon sources based on low-density quantum dots in photonic-crystal nanocavities," Phys. Rev. Lett. 96, 117401 (2006).
[CrossRef] [PubMed]

A. K. Ekert, "Quantum cryptography based on Bell’s theorem," Phys. Rev. Lett. 67, 661 (1991).
[CrossRef] [PubMed]

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, "Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels," Phys. Rev. Lett. 70, 1895 (1993).
[CrossRef] [PubMed]

C. H. Bennett and S. J. Wiesner, "Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states," Phys. Rev. Lett. 69, 2881 (1992).
[CrossRef] [PubMed]

S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in photonic crystal waveguides: role of fabrication disorder and photon group velocity," Phys. Rev. Lett. 94, 33903 (2005).
[CrossRef]

T. H. Stievater, Xiaoqin Li, D. G. Steel, D. Gammon, D. S. Katzer, D. Park, C. Piermarocchi, and L. J. Sham, "Rabi oscillations of excitons in single quantum dots," Phys. Rev. Lett. 87, 133603 (2001).
[CrossRef] [PubMed]

E. Waks and J. Vučković, "Dipole induced transparency in drop-filter cavity-waveguide systems," Phys. Rev. Lett. 96, 153601 (2006).
[CrossRef] [PubMed]

Phys.Rev. (1)

B. R. Mollow, "Power spectrum of light scattered by two-level systems," Phys.Rev. 188, 1969 (1969).
[CrossRef]

Physics (1)

J. S. Bell, "On the problem of hidden variables in quantum mechanics," Physics 1, 195 (1964).

Science (1)

M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z. R. Wasilewski, O. Stern, and A. Forchel, "Coupling and entangling of quantum states in quantum dot molecules," Science 291, 451 (2001).
[CrossRef] [PubMed]

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Figures (5)

Fig. 1.
Fig. 1.

Schematic diagram of our system, which is composed of two cavities and one waveguide, with one QD in each cavity. The distance between the two cavities is L, and as an example, we show that QD a is initially excited and QD b is in the ground state.

Fig. 2.
Fig. 2.

One QD dynamics and emitted spectra. (a,c,e) Population decay of only one QD (QD b is a removed, and µa =30D), when the cavities are separated by L=3, 30, and 300 µm, respectively; the dot and cavity resonance frequencies are ω 1/2 a . (b,d,e) Corresponding emitted spectra above cavity 1 and cavity 2, shown by the red and blue curves, respectively; all spectra are normalized to the peak emitted spectrum from cavity 1. Note that the small oscillations slightly visible on the early time dynamics of QD a (first few ps) is a numerical artifact caused by the finite frequency bandwidth used to compute the inverse Laplace transform; it has no effect on the later dynamics or the spectrum.

Fig. 3.
Fig. 3.

Two QD dynamics, entanglement of formation, and emitted spectra. (a) Population decay and entanglement when QD a (µa =30D) and QD b (µb =60D) are separated by L=3µm, with ω 1/2 a/b . The red solid curve (blue solid curve) represents the exciton decay of QD a(b), while the green dashed curve corresponds to the entanglement of formation. (b) Corresponding vertically-emitted spectra, where the solid red curve (solid blue curve) represents the emission spectrum of cavity 1(2). (c–d) as in (a–b) but with L=30µm. (e–f) As in (a–b) but with L=300µm.

Fig. 4.
Fig. 4.

As in Fig. 3, but with a detuning of ω 1(=Ω a )-ω 2(=Ω b )=25µeV.

Fig. 5.
Fig. 5.

Decay of a maximally entangled state and the violation of the Bell inequality (Bs >2). Temporal decay of ρaa (a,c,e) and Bs (b,d,f), with the initial condition of |ψQD (t=0)〉=|ψ + QD 〉 (see text); note that in (e), ρaa is shown by the solid curve and ρbb is shown by the dashed curve, but in (a) and (c), ρbb =ρaa , so we only show one curve for both. (a–b) µa =µb =30D and L=3µm (red curves) and L=300µm (blue curves). (c–d) µa =µb =8D and L=300µm (red curves) and L=3000µm (3 mm) (blue curves). (e–f) As in (c–d) but with a detuning of ω 1(=Ω a )-ω 2(=Ω b )=25µeV.

Equations (14)

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Ĥ=Σm=a,bh̅Ωmσ̂m+σ̂m+Σλh̅ωλâλα̂λih̅Σm=a,b;λ(σ̂m+σ̂m+)(gα̂λg*α̂λ),
α̂λ(ω)=iα̂λ(t=0)ωωλ+h̅1Σmg*[σ̂m(ω)+σ̂m+(ω)]ωωλ,
α̂λ(ω)=iα̂λ(t=0)ω+ωλh̅1Σmg[σ̂m(ω)+σ̂m+(ω)]ω+ωλ,
σ̂m(ω)=iσ̂m(t=0)ωΩmh̅1μmÊμ(rm,ω)*σ̂mz(ω)ωΩm ,
σ̂m+(ω)=iσ̂m+(t=0)ω+Ωmh̅1μmÊμ(rm,ω)*σ̂mz(ω)ω+Ωm ,
σ̂mz(ω)=iσ̂mz(t=0)ω+2h̅1μmÊμ(rm)*[σ̂m(ω)σ̂m+(ω)]ω.
Ê(r,ω)=Ê0(r,ω)+Σm1ε0K(r,rm;ω)·d̂m(ω)
Σm K (r,rm;ω) · nm αm (ω)[Êμ(rm,ω)*σ̂mz(ω)],
Ê(r,ω)=Σm=α,bε01 K(2) (r,rm;ω)·d̂m(ω),
K(2)(r,rα;ω)=K˜(r,rα;ω)+K˜(r,rb;ω)·nbαb(ω)nb·K˜(rb,rα;ω)1nb·K˜(rα,rb;ω)·nbαb(ω)nα·K˜(rb,rα;ω)·nααα(ω) ,
Kwcc11=ω2E1E1ω12ω2Γ10Γ1w[1+ei2kwLr2(ω)],
Kwcc12=ω2r1(ω)eikwLE1E2ω22ω2Γ20Γ2w[1+ei2kwLr1(ω)],
σ̂α/b(ω)=iσ̂α/b(t=0)ωωα/b+h̅1μα/b·Ê(rα/b,ω)ωωα/b.
S(r,ω)=Σm=α,bK(2)(r,rm;ω).μm2ε02 σ̂m+(t=0)σ̂m(t=0)(ωΩm)2 ,

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