A. Kölle, G. Epple, H. Kübler, R. Löw, and T. Pfau, “Four-wave mixing involving Rydberg states in thermal vapor,” Phys. Rev. A 85(6), 063821 (2012).

[CrossRef]

S. Sevinçli, N. Henkel, C. Ates, and T. Pohl, “Nonlocal nonlinear optics in cold Rydberg gases,” Phys. Rev. Lett. 107(15), 153001 (2011).

[CrossRef]
[PubMed]

H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, and H. P. Büchler, “A Rydberg quantum simulator,” Nat. Phys. 6(5), 382–388 (2010).

[CrossRef]

M. Saffman, T. G. Walker, and K. Mölmer, “Quantum information with Rydberg atoms,” Rev. Mod. Phys. 82(3), 2313–2363 (2010).

[CrossRef]

D. Comparat and P. Pillet, “Dipole blockade in a cold Rydberg atomic sample,” J. Opt. Soc. Am. B 27(6), A208–A232 (2010).

[CrossRef]

J. Kou, R. G. Wan, Z. H. Kang, H. H. Wang, L. Jiang, X. J. Zhang, Y. Jiang, and J. Y. Gao, “EIT-assisted large cross-Kerr nonlinearity in a four-level inverted-Y atomic system,” J. Opt. Soc. Am. B 27(10), 2035–2039 (2010).

[CrossRef]

H. Schempp, G. Günter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. Depaola, T. Amthor, M. Weidemüller, S. Sevinçli, and T. Pohl, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104(17), 173602 (2010).

[CrossRef]
[PubMed]

T. Amthor, C. Giese, C. S. Hofmann, and M. Weidemüller, “Evidence of antiblockade in an ultracold Rydberg gas,” Phys. Rev. Lett. 104(1), 013001 (2010).

[CrossRef]
[PubMed]

J. Han and T. F. Gallagher, “Millimeter-wave rubidium Rydberg van der Waals spectroscopy,” Phys. Rev. A 79(5), 053409 (2009).

[CrossRef]

E. Urban, T. A. Johnson, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Observation of Rydberg blockade between two atoms,” Nat. Phys. 5(2), 110–114 (2009).

[CrossRef]

A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, and P. Grangier, “Observation of collective excitation of twoindividual atoms in the Rydberg blockade regime,” Nat. Phys. 5(2), 115–118 (2009).

[CrossRef]

J. Stanojevic, R. Côté, D. Tong, E. E. Eyler, and P. L. Gould, “Long-range potentials and (n−1)d+ns molecular resonances in an ultracold Rydberg gas,” Phys. Rev. A 78(5), 052709 (2008).

[CrossRef]

E. Brekke, J. O. Day, and T. G. Walker, Phys. “Four-wave mixing in ultracold atoms using intermediate Rydberg states,” Phys. Rev. A 78(6), 063830 (2008).

[CrossRef]

D. Møller, L. B. Madsen, and K. Mølmer, “Quantum gates and multiparticle entanglement by Rydberg excitation blockade and adiabatic passage,” Phys. Rev. Lett. 100(17), 170504 (2008).

[CrossRef]
[PubMed]

A. K. Mohapatra, T. R. Jackson, and C. S. Adams, “Coherent optical detection of highly excited Rydberg states using electromagnetically induced transparency,” Phys. Rev. Lett. 98(11), 113003 (2007).

[CrossRef]
[PubMed]

C. Ates, T. Pohl, T. Pattard, and J. M. Rost, “Antiblockade in Rydberg excitation of an ultracold lattice gas,” Phys. Rev. Lett. 98(2), 023002 (2007).

[CrossRef]
[PubMed]

Y. P. Zhang, A. W. Brown, and M. Xiao, “Opening four-wave mixing and six-wave mixing channels via dual electromagnetically induced transparency windows,” Phys. Rev. Lett. 99(12), 123603 (2007).

[CrossRef]
[PubMed]

Y. P. Zhang and M. Xiao, “Enhancement of six-wave mixing by atomic coherence in a four-level inverted Y system,” Appl. Phys. Lett. 90(11), 111104 (2007).

[CrossRef]

A. Reinhard, T. C. Liebisch, B. Knuffman, and G. Raithel, “Level shifts of rubidium Rydberg states due to binary interactions,” Phys. Rev. A 75(3), 032712 (2007).

[CrossRef]

T. Vogt, M. Viteau, J. Zhao, A. Chotia, D. Comparat, and P. Pillet, “Dipole blockade at Förster resonances in high resolution laser excitation of Rydberg states of cesium atoms,” Phys. Rev. Lett. 97(8), 083003 (2006).

[CrossRef]
[PubMed]

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. Fu, L. A. Wu, and P. Fu, “Generalized n-photon resonant 2n-wave mixing in an (n+1)-level system with phase-conjugate geometry,” Phys. Rev. Lett. 97(19), 193904 (2006).

[CrossRef]
[PubMed]

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).

[CrossRef]

K. Singer, J. Stanojevic, M. Weidemüller, and R. Côté, “Long-range interactions between alkali Rydberg atom pairs correlated to the ns–ns, np–np and nd–nd asymptotes,” J. Phys. At. Mol. Opt. Phys. 38(2), S295–S307 (2005).

[CrossRef]

D. Tong, S. M. Farooqi, J. Stanojevic, S. Krishnan, Y. P. Zhang, R. Côté, E. E. Eyler, and P. L. Gould, “Local blockade of Rydberg excitation in an ultracold gas,” Phys. Rev. Lett. 93(6), 063001 (2004).

[CrossRef]
[PubMed]

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).

[CrossRef]
[PubMed]

Y. Wu, J. Saldana, and Y. F. Zhu, “Large enhancement of four-wave mixing by suppression of photon absorption from electromagnetically induced transparency,” Phys. Rev. A 67(1), 013811 (2003).

[CrossRef]

I. E. Protsenko, G. Reymond, N. Schlosser, and P. Grangier, “Operation of a quantum phase gate using neutral atoms in microscopic dipole traps,” Phys. Rev. A 65(5), 052301 (2002).

[CrossRef]

M. D. Lukin, M. Fleischhauer, R. Côté, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87(3), 037901 (2001).

[CrossRef]
[PubMed]

H. Wang, D. Goorskey, and M. Xiao, “Enhanced Kerr nonlinearity via atomic coherence in a three-level atomic system,” Phys. Rev. Lett. 87(7), 073601 (2001).

[CrossRef]
[PubMed]

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, “Fast quantum gates for neutral atoms,” Phys. Rev. Lett. 85(10), 2208–2211 (2000).

[CrossRef]
[PubMed]

S. E. Harris, “Electromagnetically Induced Transparency,” Phys. Today 50(7), 36–42 (1997).

[CrossRef]

M. Marinescu and A. Dalgarno, “Dispersion forces and long-range electronic transition dipole moments of alkali-metal dimer excited states,” Phys. Rev. A 52(1), 311–328 (1995).

[CrossRef]
[PubMed]

K. J. Boller, A. Imamolu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66(20), 2593–2596 (1991).

[CrossRef]
[PubMed]

A. K. Mohapatra, T. R. Jackson, and C. S. Adams, “Coherent optical detection of highly excited Rydberg states using electromagnetically induced transparency,” Phys. Rev. Lett. 98(11), 113003 (2007).

[CrossRef]
[PubMed]

H. Schempp, G. Günter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. Depaola, T. Amthor, M. Weidemüller, S. Sevinçli, and T. Pohl, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104(17), 173602 (2010).

[CrossRef]
[PubMed]

T. Amthor, C. Giese, C. S. Hofmann, and M. Weidemüller, “Evidence of antiblockade in an ultracold Rydberg gas,” Phys. Rev. Lett. 104(1), 013001 (2010).

[CrossRef]
[PubMed]

S. Sevinçli, N. Henkel, C. Ates, and T. Pohl, “Nonlocal nonlinear optics in cold Rydberg gases,” Phys. Rev. Lett. 107(15), 153001 (2011).

[CrossRef]
[PubMed]

C. Ates, T. Pohl, T. Pattard, and J. M. Rost, “Antiblockade in Rydberg excitation of an ultracold lattice gas,” Phys. Rev. Lett. 98(2), 023002 (2007).

[CrossRef]
[PubMed]

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).

[CrossRef]
[PubMed]

K. J. Boller, A. Imamolu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66(20), 2593–2596 (1991).

[CrossRef]
[PubMed]

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).

[CrossRef]
[PubMed]

E. Brekke, J. O. Day, and T. G. Walker, Phys. “Four-wave mixing in ultracold atoms using intermediate Rydberg states,” Phys. Rev. A 78(6), 063830 (2008).

[CrossRef]

A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, and P. Grangier, “Observation of collective excitation of twoindividual atoms in the Rydberg blockade regime,” Nat. Phys. 5(2), 115–118 (2009).

[CrossRef]

Y. P. Zhang, A. W. Brown, and M. Xiao, “Opening four-wave mixing and six-wave mixing channels via dual electromagnetically induced transparency windows,” Phys. Rev. Lett. 99(12), 123603 (2007).

[CrossRef]
[PubMed]

H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, and H. P. Büchler, “A Rydberg quantum simulator,” Nat. Phys. 6(5), 382–388 (2010).

[CrossRef]

A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, and P. Grangier, “Observation of collective excitation of twoindividual atoms in the Rydberg blockade regime,” Nat. Phys. 5(2), 115–118 (2009).

[CrossRef]

T. Vogt, M. Viteau, J. Zhao, A. Chotia, D. Comparat, and P. Pillet, “Dipole blockade at Förster resonances in high resolution laser excitation of Rydberg states of cesium atoms,” Phys. Rev. Lett. 97(8), 083003 (2006).

[CrossRef]
[PubMed]

M. D. Lukin, M. Fleischhauer, R. Côté, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87(3), 037901 (2001).

[CrossRef]
[PubMed]

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, “Fast quantum gates for neutral atoms,” Phys. Rev. Lett. 85(10), 2208–2211 (2000).

[CrossRef]
[PubMed]

D. Comparat and P. Pillet, “Dipole blockade in a cold Rydberg atomic sample,” J. Opt. Soc. Am. B 27(6), A208–A232 (2010).

[CrossRef]

A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, and P. Grangier, “Observation of collective excitation of twoindividual atoms in the Rydberg blockade regime,” Nat. Phys. 5(2), 115–118 (2009).

[CrossRef]

T. Vogt, M. Viteau, J. Zhao, A. Chotia, D. Comparat, and P. Pillet, “Dipole blockade at Förster resonances in high resolution laser excitation of Rydberg states of cesium atoms,” Phys. Rev. Lett. 97(8), 083003 (2006).

[CrossRef]
[PubMed]

J. Stanojevic, R. Côté, D. Tong, E. E. Eyler, and P. L. Gould, “Long-range potentials and (n−1)d+ns molecular resonances in an ultracold Rydberg gas,” Phys. Rev. A 78(5), 052709 (2008).

[CrossRef]

K. Singer, J. Stanojevic, M. Weidemüller, and R. Côté, “Long-range interactions between alkali Rydberg atom pairs correlated to the ns–ns, np–np and nd–nd asymptotes,” J. Phys. At. Mol. Opt. Phys. 38(2), S295–S307 (2005).

[CrossRef]

D. Tong, S. M. Farooqi, J. Stanojevic, S. Krishnan, Y. P. Zhang, R. Côté, E. E. Eyler, and P. L. Gould, “Local blockade of Rydberg excitation in an ultracold gas,” Phys. Rev. Lett. 93(6), 063001 (2004).

[CrossRef]
[PubMed]

M. D. Lukin, M. Fleischhauer, R. Côté, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87(3), 037901 (2001).

[CrossRef]
[PubMed]

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, “Fast quantum gates for neutral atoms,” Phys. Rev. Lett. 85(10), 2208–2211 (2000).

[CrossRef]
[PubMed]

M. Marinescu and A. Dalgarno, “Dispersion forces and long-range electronic transition dipole moments of alkali-metal dimer excited states,” Phys. Rev. A 52(1), 311–328 (1995).

[CrossRef]
[PubMed]

E. Brekke, J. O. Day, and T. G. Walker, Phys. “Four-wave mixing in ultracold atoms using intermediate Rydberg states,” Phys. Rev. A 78(6), 063830 (2008).

[CrossRef]

H. Schempp, G. Günter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. Depaola, T. Amthor, M. Weidemüller, S. Sevinçli, and T. Pohl, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104(17), 173602 (2010).

[CrossRef]
[PubMed]

M. D. Lukin, M. Fleischhauer, R. Côté, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87(3), 037901 (2001).

[CrossRef]
[PubMed]

A. Kölle, G. Epple, H. Kübler, R. Löw, and T. Pfau, “Four-wave mixing involving Rydberg states in thermal vapor,” Phys. Rev. A 85(6), 063821 (2012).

[CrossRef]

J. Stanojevic, R. Côté, D. Tong, E. E. Eyler, and P. L. Gould, “Long-range potentials and (n−1)d+ns molecular resonances in an ultracold Rydberg gas,” Phys. Rev. A 78(5), 052709 (2008).

[CrossRef]

D. Tong, S. M. Farooqi, J. Stanojevic, S. Krishnan, Y. P. Zhang, R. Côté, E. E. Eyler, and P. L. Gould, “Local blockade of Rydberg excitation in an ultracold gas,” Phys. Rev. Lett. 93(6), 063001 (2004).

[CrossRef]
[PubMed]

D. Tong, S. M. Farooqi, J. Stanojevic, S. Krishnan, Y. P. Zhang, R. Côté, E. E. Eyler, and P. L. Gould, “Local blockade of Rydberg excitation in an ultracold gas,” Phys. Rev. Lett. 93(6), 063001 (2004).

[CrossRef]
[PubMed]

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).

[CrossRef]

M. D. Lukin, M. Fleischhauer, R. Côté, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87(3), 037901 (2001).

[CrossRef]
[PubMed]

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. Fu, L. A. Wu, and P. Fu, “Generalized n-photon resonant 2n-wave mixing in an (n+1)-level system with phase-conjugate geometry,” Phys. Rev. Lett. 97(19), 193904 (2006).

[CrossRef]
[PubMed]

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. Fu, L. A. Wu, and P. Fu, “Generalized n-photon resonant 2n-wave mixing in an (n+1)-level system with phase-conjugate geometry,” Phys. Rev. Lett. 97(19), 193904 (2006).

[CrossRef]
[PubMed]

A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, and P. Grangier, “Observation of collective excitation of twoindividual atoms in the Rydberg blockade regime,” Nat. Phys. 5(2), 115–118 (2009).

[CrossRef]

J. Han and T. F. Gallagher, “Millimeter-wave rubidium Rydberg van der Waals spectroscopy,” Phys. Rev. A 79(5), 053409 (2009).

[CrossRef]

J. Kou, R. G. Wan, Z. H. Kang, H. H. Wang, L. Jiang, X. J. Zhang, Y. Jiang, and J. Y. Gao, “EIT-assisted large cross-Kerr nonlinearity in a four-level inverted-Y atomic system,” J. Opt. Soc. Am. B 27(10), 2035–2039 (2010).

[CrossRef]

H. Schempp, G. Günter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. Depaola, T. Amthor, M. Weidemüller, S. Sevinçli, and T. Pohl, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104(17), 173602 (2010).

[CrossRef]
[PubMed]

T. Amthor, C. Giese, C. S. Hofmann, and M. Weidemüller, “Evidence of antiblockade in an ultracold Rydberg gas,” Phys. Rev. Lett. 104(1), 013001 (2010).

[CrossRef]
[PubMed]

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).

[CrossRef]
[PubMed]

H. Wang, D. Goorskey, and M. Xiao, “Enhanced Kerr nonlinearity via atomic coherence in a three-level atomic system,” Phys. Rev. Lett. 87(7), 073601 (2001).

[CrossRef]
[PubMed]

J. Stanojevic, R. Côté, D. Tong, E. E. Eyler, and P. L. Gould, “Long-range potentials and (n−1)d+ns molecular resonances in an ultracold Rydberg gas,” Phys. Rev. A 78(5), 052709 (2008).

[CrossRef]

D. Tong, S. M. Farooqi, J. Stanojevic, S. Krishnan, Y. P. Zhang, R. Côté, E. E. Eyler, and P. L. Gould, “Local blockade of Rydberg excitation in an ultracold gas,” Phys. Rev. Lett. 93(6), 063001 (2004).

[CrossRef]
[PubMed]

A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, and P. Grangier, “Observation of collective excitation of twoindividual atoms in the Rydberg blockade regime,” Nat. Phys. 5(2), 115–118 (2009).

[CrossRef]

I. E. Protsenko, G. Reymond, N. Schlosser, and P. Grangier, “Operation of a quantum phase gate using neutral atoms in microscopic dipole traps,” Phys. Rev. A 65(5), 052301 (2002).

[CrossRef]

H. Schempp, G. Günter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. Depaola, T. Amthor, M. Weidemüller, S. Sevinçli, and T. Pohl, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104(17), 173602 (2010).

[CrossRef]
[PubMed]

J. Han and T. F. Gallagher, “Millimeter-wave rubidium Rydberg van der Waals spectroscopy,” Phys. Rev. A 79(5), 053409 (2009).

[CrossRef]

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).

[CrossRef]
[PubMed]

S. E. Harris, “Electromagnetically Induced Transparency,” Phys. Today 50(7), 36–42 (1997).

[CrossRef]

K. J. Boller, A. Imamolu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66(20), 2593–2596 (1991).

[CrossRef]
[PubMed]

E. Urban, T. A. Johnson, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Observation of Rydberg blockade between two atoms,” Nat. Phys. 5(2), 110–114 (2009).

[CrossRef]

S. Sevinçli, N. Henkel, C. Ates, and T. Pohl, “Nonlocal nonlinear optics in cold Rydberg gases,” Phys. Rev. Lett. 107(15), 153001 (2011).

[CrossRef]
[PubMed]

T. Amthor, C. Giese, C. S. Hofmann, and M. Weidemüller, “Evidence of antiblockade in an ultracold Rydberg gas,” Phys. Rev. Lett. 104(1), 013001 (2010).

[CrossRef]
[PubMed]

H. Schempp, G. Günter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. Depaola, T. Amthor, M. Weidemüller, S. Sevinçli, and T. Pohl, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104(17), 173602 (2010).

[CrossRef]
[PubMed]

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).

[CrossRef]

K. J. Boller, A. Imamolu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66(20), 2593–2596 (1991).

[CrossRef]
[PubMed]

E. Urban, T. A. Johnson, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Observation of Rydberg blockade between two atoms,” Nat. Phys. 5(2), 110–114 (2009).

[CrossRef]

A. K. Mohapatra, T. R. Jackson, and C. S. Adams, “Coherent optical detection of highly excited Rydberg states using electromagnetically induced transparency,” Phys. Rev. Lett. 98(11), 113003 (2007).

[CrossRef]
[PubMed]

M. D. Lukin, M. Fleischhauer, R. Côté, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87(3), 037901 (2001).

[CrossRef]
[PubMed]

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, “Fast quantum gates for neutral atoms,” Phys. Rev. Lett. 85(10), 2208–2211 (2000).

[CrossRef]
[PubMed]

J. Kou, R. G. Wan, Z. H. Kang, H. H. Wang, L. Jiang, X. J. Zhang, Y. Jiang, and J. Y. Gao, “EIT-assisted large cross-Kerr nonlinearity in a four-level inverted-Y atomic system,” J. Opt. Soc. Am. B 27(10), 2035–2039 (2010).

[CrossRef]

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. Fu, L. A. Wu, and P. Fu, “Generalized n-photon resonant 2n-wave mixing in an (n+1)-level system with phase-conjugate geometry,” Phys. Rev. Lett. 97(19), 193904 (2006).

[CrossRef]
[PubMed]

J. Kou, R. G. Wan, Z. H. Kang, H. H. Wang, L. Jiang, X. J. Zhang, Y. Jiang, and J. Y. Gao, “EIT-assisted large cross-Kerr nonlinearity in a four-level inverted-Y atomic system,” J. Opt. Soc. Am. B 27(10), 2035–2039 (2010).

[CrossRef]

E. Urban, T. A. Johnson, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Observation of Rydberg blockade between two atoms,” Nat. Phys. 5(2), 110–114 (2009).

[CrossRef]

J. Kou, R. G. Wan, Z. H. Kang, H. H. Wang, L. Jiang, X. J. Zhang, Y. Jiang, and J. Y. Gao, “EIT-assisted large cross-Kerr nonlinearity in a four-level inverted-Y atomic system,” J. Opt. Soc. Am. B 27(10), 2035–2039 (2010).

[CrossRef]

A. Reinhard, T. C. Liebisch, B. Knuffman, and G. Raithel, “Level shifts of rubidium Rydberg states due to binary interactions,” Phys. Rev. A 75(3), 032712 (2007).

[CrossRef]

A. Kölle, G. Epple, H. Kübler, R. Löw, and T. Pfau, “Four-wave mixing involving Rydberg states in thermal vapor,” Phys. Rev. A 85(6), 063821 (2012).

[CrossRef]

J. Kou, R. G. Wan, Z. H. Kang, H. H. Wang, L. Jiang, X. J. Zhang, Y. Jiang, and J. Y. Gao, “EIT-assisted large cross-Kerr nonlinearity in a four-level inverted-Y atomic system,” J. Opt. Soc. Am. B 27(10), 2035–2039 (2010).

[CrossRef]

D. Tong, S. M. Farooqi, J. Stanojevic, S. Krishnan, Y. P. Zhang, R. Côté, E. E. Eyler, and P. L. Gould, “Local blockade of Rydberg excitation in an ultracold gas,” Phys. Rev. Lett. 93(6), 063001 (2004).

[CrossRef]
[PubMed]

A. Kölle, G. Epple, H. Kübler, R. Löw, and T. Pfau, “Four-wave mixing involving Rydberg states in thermal vapor,” Phys. Rev. A 85(6), 063821 (2012).

[CrossRef]

H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, and H. P. Büchler, “A Rydberg quantum simulator,” Nat. Phys. 6(5), 382–388 (2010).

[CrossRef]

A. Reinhard, T. C. Liebisch, B. Knuffman, and G. Raithel, “Level shifts of rubidium Rydberg states due to binary interactions,” Phys. Rev. A 75(3), 032712 (2007).

[CrossRef]

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. Fu, L. A. Wu, and P. Fu, “Generalized n-photon resonant 2n-wave mixing in an (n+1)-level system with phase-conjugate geometry,” Phys. Rev. Lett. 97(19), 193904 (2006).

[CrossRef]
[PubMed]

A. Kölle, G. Epple, H. Kübler, R. Löw, and T. Pfau, “Four-wave mixing involving Rydberg states in thermal vapor,” Phys. Rev. A 85(6), 063821 (2012).

[CrossRef]

M. D. Lukin, M. Fleischhauer, R. Côté, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87(3), 037901 (2001).

[CrossRef]
[PubMed]

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, “Fast quantum gates for neutral atoms,” Phys. Rev. Lett. 85(10), 2208–2211 (2000).

[CrossRef]
[PubMed]

D. Møller, L. B. Madsen, and K. Mølmer, “Quantum gates and multiparticle entanglement by Rydberg excitation blockade and adiabatic passage,” Phys. Rev. Lett. 100(17), 170504 (2008).

[CrossRef]
[PubMed]

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).

[CrossRef]

M. Marinescu and A. Dalgarno, “Dispersion forces and long-range electronic transition dipole moments of alkali-metal dimer excited states,” Phys. Rev. A 52(1), 311–328 (1995).

[CrossRef]
[PubMed]

A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, and P. Grangier, “Observation of collective excitation of twoindividual atoms in the Rydberg blockade regime,” Nat. Phys. 5(2), 115–118 (2009).

[CrossRef]

A. K. Mohapatra, T. R. Jackson, and C. S. Adams, “Coherent optical detection of highly excited Rydberg states using electromagnetically induced transparency,” Phys. Rev. Lett. 98(11), 113003 (2007).

[CrossRef]
[PubMed]

D. Møller, L. B. Madsen, and K. Mølmer, “Quantum gates and multiparticle entanglement by Rydberg excitation blockade and adiabatic passage,” Phys. Rev. Lett. 100(17), 170504 (2008).

[CrossRef]
[PubMed]

M. Saffman, T. G. Walker, and K. Mölmer, “Quantum information with Rydberg atoms,” Rev. Mod. Phys. 82(3), 2313–2363 (2010).

[CrossRef]

D. Møller, L. B. Madsen, and K. Mølmer, “Quantum gates and multiparticle entanglement by Rydberg excitation blockade and adiabatic passage,” Phys. Rev. Lett. 100(17), 170504 (2008).

[CrossRef]
[PubMed]

H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, and H. P. Büchler, “A Rydberg quantum simulator,” Nat. Phys. 6(5), 382–388 (2010).

[CrossRef]

C. Ates, T. Pohl, T. Pattard, and J. M. Rost, “Antiblockade in Rydberg excitation of an ultracold lattice gas,” Phys. Rev. Lett. 98(2), 023002 (2007).

[CrossRef]
[PubMed]

A. Kölle, G. Epple, H. Kübler, R. Löw, and T. Pfau, “Four-wave mixing involving Rydberg states in thermal vapor,” Phys. Rev. A 85(6), 063821 (2012).

[CrossRef]

D. Comparat and P. Pillet, “Dipole blockade in a cold Rydberg atomic sample,” J. Opt. Soc. Am. B 27(6), A208–A232 (2010).

[CrossRef]

A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, and P. Grangier, “Observation of collective excitation of twoindividual atoms in the Rydberg blockade regime,” Nat. Phys. 5(2), 115–118 (2009).

[CrossRef]

T. Vogt, M. Viteau, J. Zhao, A. Chotia, D. Comparat, and P. Pillet, “Dipole blockade at Förster resonances in high resolution laser excitation of Rydberg states of cesium atoms,” Phys. Rev. Lett. 97(8), 083003 (2006).

[CrossRef]
[PubMed]

S. Sevinçli, N. Henkel, C. Ates, and T. Pohl, “Nonlocal nonlinear optics in cold Rydberg gases,” Phys. Rev. Lett. 107(15), 153001 (2011).

[CrossRef]
[PubMed]

H. Schempp, G. Günter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. Depaola, T. Amthor, M. Weidemüller, S. Sevinçli, and T. Pohl, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104(17), 173602 (2010).

[CrossRef]
[PubMed]

C. Ates, T. Pohl, T. Pattard, and J. M. Rost, “Antiblockade in Rydberg excitation of an ultracold lattice gas,” Phys. Rev. Lett. 98(2), 023002 (2007).

[CrossRef]
[PubMed]

I. E. Protsenko, G. Reymond, N. Schlosser, and P. Grangier, “Operation of a quantum phase gate using neutral atoms in microscopic dipole traps,” Phys. Rev. A 65(5), 052301 (2002).

[CrossRef]

A. Reinhard, T. C. Liebisch, B. Knuffman, and G. Raithel, “Level shifts of rubidium Rydberg states due to binary interactions,” Phys. Rev. A 75(3), 032712 (2007).

[CrossRef]

A. Reinhard, T. C. Liebisch, B. Knuffman, and G. Raithel, “Level shifts of rubidium Rydberg states due to binary interactions,” Phys. Rev. A 75(3), 032712 (2007).

[CrossRef]

I. E. Protsenko, G. Reymond, N. Schlosser, and P. Grangier, “Operation of a quantum phase gate using neutral atoms in microscopic dipole traps,” Phys. Rev. A 65(5), 052301 (2002).

[CrossRef]

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, “Fast quantum gates for neutral atoms,” Phys. Rev. Lett. 85(10), 2208–2211 (2000).

[CrossRef]
[PubMed]

C. Ates, T. Pohl, T. Pattard, and J. M. Rost, “Antiblockade in Rydberg excitation of an ultracold lattice gas,” Phys. Rev. Lett. 98(2), 023002 (2007).

[CrossRef]
[PubMed]

M. Saffman, T. G. Walker, and K. Mölmer, “Quantum information with Rydberg atoms,” Rev. Mod. Phys. 82(3), 2313–2363 (2010).

[CrossRef]

E. Urban, T. A. Johnson, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Observation of Rydberg blockade between two atoms,” Nat. Phys. 5(2), 110–114 (2009).

[CrossRef]

Y. Wu, J. Saldana, and Y. F. Zhu, “Large enhancement of four-wave mixing by suppression of photon absorption from electromagnetically induced transparency,” Phys. Rev. A 67(1), 013811 (2003).

[CrossRef]

H. Schempp, G. Günter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. Depaola, T. Amthor, M. Weidemüller, S. Sevinçli, and T. Pohl, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104(17), 173602 (2010).

[CrossRef]
[PubMed]

H. Schempp, G. Günter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. Depaola, T. Amthor, M. Weidemüller, S. Sevinçli, and T. Pohl, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104(17), 173602 (2010).

[CrossRef]
[PubMed]

I. E. Protsenko, G. Reymond, N. Schlosser, and P. Grangier, “Operation of a quantum phase gate using neutral atoms in microscopic dipole traps,” Phys. Rev. A 65(5), 052301 (2002).

[CrossRef]

S. Sevinçli, N. Henkel, C. Ates, and T. Pohl, “Nonlocal nonlinear optics in cold Rydberg gases,” Phys. Rev. Lett. 107(15), 153001 (2011).

[CrossRef]
[PubMed]

H. Schempp, G. Günter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. Depaola, T. Amthor, M. Weidemüller, S. Sevinçli, and T. Pohl, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104(17), 173602 (2010).

[CrossRef]
[PubMed]

K. Singer, J. Stanojevic, M. Weidemüller, and R. Côté, “Long-range interactions between alkali Rydberg atom pairs correlated to the ns–ns, np–np and nd–nd asymptotes,” J. Phys. At. Mol. Opt. Phys. 38(2), S295–S307 (2005).

[CrossRef]

J. Stanojevic, R. Côté, D. Tong, E. E. Eyler, and P. L. Gould, “Long-range potentials and (n−1)d+ns molecular resonances in an ultracold Rydberg gas,” Phys. Rev. A 78(5), 052709 (2008).

[CrossRef]

K. Singer, J. Stanojevic, M. Weidemüller, and R. Côté, “Long-range interactions between alkali Rydberg atom pairs correlated to the ns–ns, np–np and nd–nd asymptotes,” J. Phys. At. Mol. Opt. Phys. 38(2), S295–S307 (2005).

[CrossRef]

D. Tong, S. M. Farooqi, J. Stanojevic, S. Krishnan, Y. P. Zhang, R. Côté, E. E. Eyler, and P. L. Gould, “Local blockade of Rydberg excitation in an ultracold gas,” Phys. Rev. Lett. 93(6), 063001 (2004).

[CrossRef]
[PubMed]

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. Fu, L. A. Wu, and P. Fu, “Generalized n-photon resonant 2n-wave mixing in an (n+1)-level system with phase-conjugate geometry,” Phys. Rev. Lett. 97(19), 193904 (2006).

[CrossRef]
[PubMed]

J. Stanojevic, R. Côté, D. Tong, E. E. Eyler, and P. L. Gould, “Long-range potentials and (n−1)d+ns molecular resonances in an ultracold Rydberg gas,” Phys. Rev. A 78(5), 052709 (2008).

[CrossRef]

D. Tong, S. M. Farooqi, J. Stanojevic, S. Krishnan, Y. P. Zhang, R. Côté, E. E. Eyler, and P. L. Gould, “Local blockade of Rydberg excitation in an ultracold gas,” Phys. Rev. Lett. 93(6), 063001 (2004).

[CrossRef]
[PubMed]

E. Urban, T. A. Johnson, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Observation of Rydberg blockade between two atoms,” Nat. Phys. 5(2), 110–114 (2009).

[CrossRef]

A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, and P. Grangier, “Observation of collective excitation of twoindividual atoms in the Rydberg blockade regime,” Nat. Phys. 5(2), 115–118 (2009).

[CrossRef]

T. Vogt, M. Viteau, J. Zhao, A. Chotia, D. Comparat, and P. Pillet, “Dipole blockade at Förster resonances in high resolution laser excitation of Rydberg states of cesium atoms,” Phys. Rev. Lett. 97(8), 083003 (2006).

[CrossRef]
[PubMed]

T. Vogt, M. Viteau, J. Zhao, A. Chotia, D. Comparat, and P. Pillet, “Dipole blockade at Förster resonances in high resolution laser excitation of Rydberg states of cesium atoms,” Phys. Rev. Lett. 97(8), 083003 (2006).

[CrossRef]
[PubMed]

M. Saffman, T. G. Walker, and K. Mölmer, “Quantum information with Rydberg atoms,” Rev. Mod. Phys. 82(3), 2313–2363 (2010).

[CrossRef]

E. Urban, T. A. Johnson, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Observation of Rydberg blockade between two atoms,” Nat. Phys. 5(2), 110–114 (2009).

[CrossRef]

E. Brekke, J. O. Day, and T. G. Walker, Phys. “Four-wave mixing in ultracold atoms using intermediate Rydberg states,” Phys. Rev. A 78(6), 063830 (2008).

[CrossRef]

J. Kou, R. G. Wan, Z. H. Kang, H. H. Wang, L. Jiang, X. J. Zhang, Y. Jiang, and J. Y. Gao, “EIT-assisted large cross-Kerr nonlinearity in a four-level inverted-Y atomic system,” J. Opt. Soc. Am. B 27(10), 2035–2039 (2010).

[CrossRef]

H. Wang, D. Goorskey, and M. Xiao, “Enhanced Kerr nonlinearity via atomic coherence in a three-level atomic system,” Phys. Rev. Lett. 87(7), 073601 (2001).

[CrossRef]
[PubMed]

J. Kou, R. G. Wan, Z. H. Kang, H. H. Wang, L. Jiang, X. J. Zhang, Y. Jiang, and J. Y. Gao, “EIT-assisted large cross-Kerr nonlinearity in a four-level inverted-Y atomic system,” J. Opt. Soc. Am. B 27(10), 2035–2039 (2010).

[CrossRef]

H. Schempp, G. Günter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. Depaola, T. Amthor, M. Weidemüller, S. Sevinçli, and T. Pohl, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104(17), 173602 (2010).

[CrossRef]
[PubMed]

T. Amthor, C. Giese, C. S. Hofmann, and M. Weidemüller, “Evidence of antiblockade in an ultracold Rydberg gas,” Phys. Rev. Lett. 104(1), 013001 (2010).

[CrossRef]
[PubMed]

K. Singer, J. Stanojevic, M. Weidemüller, and R. Côté, “Long-range interactions between alkali Rydberg atom pairs correlated to the ns–ns, np–np and nd–nd asymptotes,” J. Phys. At. Mol. Opt. Phys. 38(2), S295–S307 (2005).

[CrossRef]

H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, and H. P. Büchler, “A Rydberg quantum simulator,” Nat. Phys. 6(5), 382–388 (2010).

[CrossRef]

A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, and P. Grangier, “Observation of collective excitation of twoindividual atoms in the Rydberg blockade regime,” Nat. Phys. 5(2), 115–118 (2009).

[CrossRef]

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. Fu, L. A. Wu, and P. Fu, “Generalized n-photon resonant 2n-wave mixing in an (n+1)-level system with phase-conjugate geometry,” Phys. Rev. Lett. 97(19), 193904 (2006).

[CrossRef]
[PubMed]

Y. Wu, J. Saldana, and Y. F. Zhu, “Large enhancement of four-wave mixing by suppression of photon absorption from electromagnetically induced transparency,” Phys. Rev. A 67(1), 013811 (2003).

[CrossRef]

Y. P. Zhang and M. Xiao, “Enhancement of six-wave mixing by atomic coherence in a four-level inverted Y system,” Appl. Phys. Lett. 90(11), 111104 (2007).

[CrossRef]

Y. P. Zhang, A. W. Brown, and M. Xiao, “Opening four-wave mixing and six-wave mixing channels via dual electromagnetically induced transparency windows,” Phys. Rev. Lett. 99(12), 123603 (2007).

[CrossRef]
[PubMed]

H. Wang, D. Goorskey, and M. Xiao, “Enhanced Kerr nonlinearity via atomic coherence in a three-level atomic system,” Phys. Rev. Lett. 87(7), 073601 (2001).

[CrossRef]
[PubMed]

E. Urban, T. A. Johnson, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Observation of Rydberg blockade between two atoms,” Nat. Phys. 5(2), 110–114 (2009).

[CrossRef]

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).

[CrossRef]
[PubMed]

J. Kou, R. G. Wan, Z. H. Kang, H. H. Wang, L. Jiang, X. J. Zhang, Y. Jiang, and J. Y. Gao, “EIT-assisted large cross-Kerr nonlinearity in a four-level inverted-Y atomic system,” J. Opt. Soc. Am. B 27(10), 2035–2039 (2010).

[CrossRef]

Y. P. Zhang and M. Xiao, “Enhancement of six-wave mixing by atomic coherence in a four-level inverted Y system,” Appl. Phys. Lett. 90(11), 111104 (2007).

[CrossRef]

Y. P. Zhang, A. W. Brown, and M. Xiao, “Opening four-wave mixing and six-wave mixing channels via dual electromagnetically induced transparency windows,” Phys. Rev. Lett. 99(12), 123603 (2007).

[CrossRef]
[PubMed]

D. Tong, S. M. Farooqi, J. Stanojevic, S. Krishnan, Y. P. Zhang, R. Côté, E. E. Eyler, and P. L. Gould, “Local blockade of Rydberg excitation in an ultracold gas,” Phys. Rev. Lett. 93(6), 063001 (2004).

[CrossRef]
[PubMed]

T. Vogt, M. Viteau, J. Zhao, A. Chotia, D. Comparat, and P. Pillet, “Dipole blockade at Förster resonances in high resolution laser excitation of Rydberg states of cesium atoms,” Phys. Rev. Lett. 97(8), 083003 (2006).

[CrossRef]
[PubMed]

Y. Wu, J. Saldana, and Y. F. Zhu, “Large enhancement of four-wave mixing by suppression of photon absorption from electromagnetically induced transparency,” Phys. Rev. A 67(1), 013811 (2003).

[CrossRef]

H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, and H. P. Büchler, “A Rydberg quantum simulator,” Nat. Phys. 6(5), 382–388 (2010).

[CrossRef]

M. D. Lukin, M. Fleischhauer, R. Côté, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87(3), 037901 (2001).

[CrossRef]
[PubMed]

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, “Fast quantum gates for neutral atoms,” Phys. Rev. Lett. 85(10), 2208–2211 (2000).

[CrossRef]
[PubMed]

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. Fu, L. A. Wu, and P. Fu, “Generalized n-photon resonant 2n-wave mixing in an (n+1)-level system with phase-conjugate geometry,” Phys. Rev. Lett. 97(19), 193904 (2006).

[CrossRef]
[PubMed]

Y. P. Zhang and M. Xiao, “Enhancement of six-wave mixing by atomic coherence in a four-level inverted Y system,” Appl. Phys. Lett. 90(11), 111104 (2007).

[CrossRef]

D. Comparat and P. Pillet, “Dipole blockade in a cold Rydberg atomic sample,” J. Opt. Soc. Am. B 27(6), A208–A232 (2010).

[CrossRef]

J. Kou, R. G. Wan, Z. H. Kang, H. H. Wang, L. Jiang, X. J. Zhang, Y. Jiang, and J. Y. Gao, “EIT-assisted large cross-Kerr nonlinearity in a four-level inverted-Y atomic system,” J. Opt. Soc. Am. B 27(10), 2035–2039 (2010).

[CrossRef]

K. Singer, J. Stanojevic, M. Weidemüller, and R. Côté, “Long-range interactions between alkali Rydberg atom pairs correlated to the ns–ns, np–np and nd–nd asymptotes,” J. Phys. At. Mol. Opt. Phys. 38(2), S295–S307 (2005).

[CrossRef]

H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, and H. P. Büchler, “A Rydberg quantum simulator,” Nat. Phys. 6(5), 382–388 (2010).

[CrossRef]

E. Urban, T. A. Johnson, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Observation of Rydberg blockade between two atoms,” Nat. Phys. 5(2), 110–114 (2009).

[CrossRef]

A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, and P. Grangier, “Observation of collective excitation of twoindividual atoms in the Rydberg blockade regime,” Nat. Phys. 5(2), 115–118 (2009).

[CrossRef]

Y. Wu, J. Saldana, and Y. F. Zhu, “Large enhancement of four-wave mixing by suppression of photon absorption from electromagnetically induced transparency,” Phys. Rev. A 67(1), 013811 (2003).

[CrossRef]

I. E. Protsenko, G. Reymond, N. Schlosser, and P. Grangier, “Operation of a quantum phase gate using neutral atoms in microscopic dipole traps,” Phys. Rev. A 65(5), 052301 (2002).

[CrossRef]

J. Stanojevic, R. Côté, D. Tong, E. E. Eyler, and P. L. Gould, “Long-range potentials and (n−1)d+ns molecular resonances in an ultracold Rydberg gas,” Phys. Rev. A 78(5), 052709 (2008).

[CrossRef]

A. Reinhard, T. C. Liebisch, B. Knuffman, and G. Raithel, “Level shifts of rubidium Rydberg states due to binary interactions,” Phys. Rev. A 75(3), 032712 (2007).

[CrossRef]

M. Marinescu and A. Dalgarno, “Dispersion forces and long-range electronic transition dipole moments of alkali-metal dimer excited states,” Phys. Rev. A 52(1), 311–328 (1995).

[CrossRef]
[PubMed]

E. Brekke, J. O. Day, and T. G. Walker, Phys. “Four-wave mixing in ultracold atoms using intermediate Rydberg states,” Phys. Rev. A 78(6), 063830 (2008).

[CrossRef]

A. Kölle, G. Epple, H. Kübler, R. Löw, and T. Pfau, “Four-wave mixing involving Rydberg states in thermal vapor,” Phys. Rev. A 85(6), 063821 (2012).

[CrossRef]

J. Han and T. F. Gallagher, “Millimeter-wave rubidium Rydberg van der Waals spectroscopy,” Phys. Rev. A 79(5), 053409 (2009).

[CrossRef]

Z. C. Zuo, J. Sun, X. Liu, Q. Jiang, G. Fu, L. A. Wu, and P. Fu, “Generalized n-photon resonant 2n-wave mixing in an (n+1)-level system with phase-conjugate geometry,” Phys. Rev. Lett. 97(19), 193904 (2006).

[CrossRef]
[PubMed]

H. Schempp, G. Günter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. Depaola, T. Amthor, M. Weidemüller, S. Sevinçli, and T. Pohl, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104(17), 173602 (2010).

[CrossRef]
[PubMed]

D. Møller, L. B. Madsen, and K. Mølmer, “Quantum gates and multiparticle entanglement by Rydberg excitation blockade and adiabatic passage,” Phys. Rev. Lett. 100(17), 170504 (2008).

[CrossRef]
[PubMed]

A. K. Mohapatra, T. R. Jackson, and C. S. Adams, “Coherent optical detection of highly excited Rydberg states using electromagnetically induced transparency,” Phys. Rev. Lett. 98(11), 113003 (2007).

[CrossRef]
[PubMed]

C. Ates, T. Pohl, T. Pattard, and J. M. Rost, “Antiblockade in Rydberg excitation of an ultracold lattice gas,” Phys. Rev. Lett. 98(2), 023002 (2007).

[CrossRef]
[PubMed]

T. Amthor, C. Giese, C. S. Hofmann, and M. Weidemüller, “Evidence of antiblockade in an ultracold Rydberg gas,” Phys. Rev. Lett. 104(1), 013001 (2010).

[CrossRef]
[PubMed]

D. Tong, S. M. Farooqi, J. Stanojevic, S. Krishnan, Y. P. Zhang, R. Côté, E. E. Eyler, and P. L. Gould, “Local blockade of Rydberg excitation in an ultracold gas,” Phys. Rev. Lett. 93(6), 063001 (2004).

[CrossRef]
[PubMed]

S. Sevinçli, N. Henkel, C. Ates, and T. Pohl, “Nonlocal nonlinear optics in cold Rydberg gases,” Phys. Rev. Lett. 107(15), 153001 (2011).

[CrossRef]
[PubMed]

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, “Fast quantum gates for neutral atoms,” Phys. Rev. Lett. 85(10), 2208–2211 (2000).

[CrossRef]
[PubMed]

Y. P. Zhang, A. W. Brown, and M. Xiao, “Opening four-wave mixing and six-wave mixing channels via dual electromagnetically induced transparency windows,” Phys. Rev. Lett. 99(12), 123603 (2007).

[CrossRef]
[PubMed]

K. J. Boller, A. Imamolu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66(20), 2593–2596 (1991).

[CrossRef]
[PubMed]

H. Wang, D. Goorskey, and M. Xiao, “Enhanced Kerr nonlinearity via atomic coherence in a three-level atomic system,” Phys. Rev. Lett. 87(7), 073601 (2001).

[CrossRef]
[PubMed]

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).

[CrossRef]
[PubMed]

T. Vogt, M. Viteau, J. Zhao, A. Chotia, D. Comparat, and P. Pillet, “Dipole blockade at Förster resonances in high resolution laser excitation of Rydberg states of cesium atoms,” Phys. Rev. Lett. 97(8), 083003 (2006).

[CrossRef]
[PubMed]

M. D. Lukin, M. Fleischhauer, R. Côté, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87(3), 037901 (2001).

[CrossRef]
[PubMed]

S. E. Harris, “Electromagnetically Induced Transparency,” Phys. Today 50(7), 36–42 (1997).

[CrossRef]

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).

[CrossRef]

M. Saffman, T. G. Walker, and K. Mölmer, “Quantum information with Rydberg atoms,” Rev. Mod. Phys. 82(3), 2313–2363 (2010).

[CrossRef]