Bose-Hubbard models coupled to cavity light fields

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 2, 2010, Pages

  Silver, A O ^a   Hohenadler, M ^a,b   Bhaseen, M J ^a   Simons, B D ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b OSRAM OPTO SEMICONDUCTORS GMBH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE HUBBARD MODEL; COUPLED CAVITY; DENSITY FLUCTUATION; DICKE MODEL; EXACT DIAGONALIZATION; FINITE SIZE EFFECT; FIRST ORDER TRANSITIONS; LIGHT FIELDS; MOTT PHASE; NEW DIRECTIONS; PHOTO-EXCITATIONS; POLARITONS; SINGLE COMPONENTS; SUPERFLUID FRACTIONS;

ELECTRODYNAMICS; MEAN FIELD THEORY; PHASE DIAGRAMS; PHONONS; PHOTOEXCITATION; PHOTONS; QUANTUM ELECTRONICS; STATISTICAL MECHANICS;

HUBBARD MODEL;

EID: 77249159964     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.023617     Document Type: Article

References (98)

1. F. Brennecke, T. Donner, S. Ritter, T. Bourdel, M. Köhl, and T. Esslinger, Nature (London) NATUAS 0028-0836 10.1038/nature06120 450, 268 (2007).
2. Y. Colombe, T. Steinmetz, G. Dubois, F. Linke, D. Hunger, and J. Reichel, Nature (London) NATUAS 0028-0836 10.1038/nature06331 450, 272 (2007).
3. F. Brennecke, S. Ritter, T. Donner, and T. Esslinger, Science SCIEAS 0036-8075 10.1126/science.1163218 322, 235 (2008).
4. S. Ritter, F. Brennecke, K. Baumann, T. Donner, C. Guerlin, and T. Esslinger, Appl. Phys. B APBOEM 0946-2171 10.1007/s00340-009-3436-9 95, 213 (2009).
5. P. F. Herskind, A. Dantan, J. P. Marler, M. Albert, and M. Drewsen, Nat. Phys. APBOEM 1745-2473 10.1038/nphys1302 5, 494 (2009).
6. W. Lange, Nat. Phys. APBOEM 1745-2473 10.1038/nphys1325 5, 455 (2009).
7. I. B. Mekhov, C. Maschler, and H. Ritsch, Nat. Phys. APBOEM 1745-2473 10.1038/nphys571 3, 319 (2007).
8. M. J. Hartmann, F. G. S. L. Brandão, and M. B. Plenio, Nat. Phys. APBOEM 1745-2473 10.1038/nphys462 2, 849 (2006).
9. A. D. Greentree, C. Tahan, J. H. Cole, and L. C. L. Hollenberg, Nat. Phys. APBOEM 1745-2473 10.1038/nphys466 2, 856 (2006).
10. D. G. Angelakis, M. F. Santos, and S. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.031805 76, 031805 (R) (2007).
11. N. Na, S. Utsunomiya, L. Tian, and Y. Yamamoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.031803 77, 031803 (R) (2008).
12. M. J. Hartmann, F. G. S. L. Brandao, and M. B. Plenio, Laser & Photon. Rev. 1863-8880 10.1002/lpor.200810046 2, 527 (2008).
13. J. Cho, D. G. Angelakis, and S. Bose, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.246809 101, 246809 (2008).
14. F. Illuminati, Nat. Phys. PRLTAO 1745-2473 10.1038/nphys479 2, 803 (2006).
15. D. Rossini and R. Fazio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.186401 99, 186401 (2007).
16. S.-C. Lei and R.-K. Lee, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.033827 77, 033827 (2008).
17. M. I. Makin, J. H. Cole, C. Tahan, L. C. L. Hollenberg, and A. D. Greentree, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.053819 77, 053819 (2008).
18. M. Aichhorn, M. Hohenadler, C. Tahan, and P. B. Littlewood, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.216401 100, 216401 (2008).
19. P. Pippan, H. G. Evertz, and M. Hohenadler, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.033612 80, 033612 (2009).
20. M. Grochol, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.79.205306 79, 205306 (2009).
21. S. Schmidt and G. Blatter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.086403 103, 086403 (2009).
22. A. Mering, P. Ivanov, K. Singer, and M. Fleischhauer, e-print arXiv: 0907.1876.
23. J. Koch and K. LeHur, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80. 023811 80, 023811 (2009).
24. D. E. Chang, V. Gritsev, G. Morigi, V. Vuletic, M. D. Lukin, and E. A. Demler, Nat. Phys. PLRAAN 1745-2473 10.1038/nphys1074 4, 884 (2008).
25. A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. Kumar, S. M. Girvin, and R. J. Schoelkopf, Nature (London) NATUAS 0028-0836 10.1038/nature02851 431, 162 (2004).
26. J. M. Fink, M. Göppl, M. Baur, R. Bianchetti, P. J. Leek, A. Blais, and A. Wallraff, Nature (London) NATUAS 0028-0836 10.1038/nature07112 454, 315 (2008).
27. J. M. Fink, R. Bianchetti, M. Baur, M. Göppl, L. Steffen, S. Filipp, P. J. Leek, A. Blais, and A. Wallraff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.083601 103, 083601 (2009).
28. A. Fragner, M. Göppl, J. M. Fink, R. Bianchetti, P. J. Leek, A. Blais, and A. Wallraff, Science SCIEAS 0036-8075 10.1126/science.1164482 322, 1357 (2008).
29. J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymańska, R. André, J. L. Staehli, Nature (London) NATUAS 0028-0836 10.1038/nature05131 443, 409 (2006).
30. H. Deng, G. Weihs, C. Santori, J. Bloch, and Y. Yamamoto, Science SCIEAS 0036-8075 10.1126/science.1074464 298, 199 (2002).
31. H. Deng, G. Weihs, D. Snoke, J. Bloch, and Y. Yamamoto, Proc. Nat. Acad. Sci. PNASA6 0027-8424 10.1073/pnas.2634328100 100, 15318 (2003).
32. L. S. Dang, D. Heger, R. André, F. Bœuf, and R. Romestain, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3920 81, 3920 (1998).
33. P. B. Littlewood, P. R. Eastham, J. M. J. Keeling, F. M. Marchetti, B. D. Simons, and M. H. Szymanska, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/35/003 16, S3597 (2004).
34. A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford Science Publications, Oxford, 2007).
35. H. Zoubi and H. Ritsch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.013817 76, 013817 (2007).
36. M. J. Bhaseen, M. Hohenadler, A. O. Silver, and B. D. Simons, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.135301 102, 135301 (2009).
37. A. Kantian, A. J. Daley, P. Törmä, and P. Zoller, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/11/407 9, 407 (2007).
38. J. Larson and M. Lewenstein, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/6/063027 11, 063027 (2009).
39. F. Bariani and I. Carusotto, J. Eur. Opt. Soc. - Rapid Publications NJOPFM 1990-2573 10.2971/jeos.2008.08005 3, 08005 (2008).
40. I. Carusotto, M. Antezza, F. Bariani, S. De Liberato, and C. Ciuti, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.063621 77, 063621 (2008).
41. R. H. Dicke, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.93.99 93, 99 (1954).
42. K. Hepp and E. H. Lieb, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(73)90039-0 76, 360 (1973).
43. Y. K. Wang and F. T. Hioe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.7.831 7, 831 (1973).
44. K. Hepp and E. H. Lieb, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.8.2517 8, 2517 (1973).
45. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.40.546 40, 546 (1989).
46. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
47. E. T. Jaynes and F. W. Cummings, Proc. IEEE IEEPAD 0018-9219 10.1109/PROC.1963.1664 51, 89 (1963).
48. F. Dimer, B. Estienne, A. S. Parkins, and H. J. Carmichael, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.013804 75, 013804 (2007).
49. G. Chen, X. Wang, J.-Q. Liang, and Z. D. Wang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.023634 78, 023634 (2008).
50. H. Zoubi and H. Ritsch, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/87/23001 87, 23001 (2009).
51. P. R. Eastham and P. B. Littlewood, Solid State Commun. SSCOA4 0038-1098 10.1016/S0038-1098(00)00350-1 116, 357 (2000).
52. P. R. Eastham and P. B. Littlewood, Phys. Rev. B SSCOA4 1098-0121 10.1103/PhysRevB.64.235101 64, 235101 (2001).
53. F. W. Cummings, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.140.A1051 140, A1051 (1965).
54. C. Emary and T. Brandes, Phys. Rev. E PHRVAO 1539-3755 10.1103/PhysRevE.67.066203 67, 066203 (2003).
55. L. M. Duan, E. Demler, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.090402 91, 090402 (2003).
56. E. Altman, W. Hofstetter, E. Demler, and M. D. Lukin, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/113 5, 113 (2003).
57. A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer, Berlin, 1994).
58. N. M. Bogolyubov, J. Math. Sci. NJOPFM 1072-3374 10.1007/BF02675727 100, 2051 (2000).
59. M. Hillery and L. D. Mlodinow, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.31.797 31, 797 (1985).
60. F. Persico and G. Vetri, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.12.2083 12, 2083 (1975).
61. E. Ressayre and A. Tallet, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.11.981 11, 981 (1975).
62. A. F. Andreev and I. M. Lifshitz, Zh. Eksp. Teor. Fiz. 56, 2057 (1969)
63. A. F. Andreev and I. M. Lifshitz, [Sov. Phys. JETP 29, 1107 (1969)].
64. R. Roth and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023604 68, 023604 (2003).
65. L. V. Keldysh and Yu. V. Kopaev, Fiz. Tverd. Tela 6, 2791 (1964)
66. L. V. Keldysh and Yu. V. Kopaev, [Sov. Phys. Solid State 6, 2219 (1965)].
67. L. V. Keldysh and A. N. Kozlov, Zh. Eksp. Teor. Fiz. 54, 978 (1968)
68. L. V. Keldysh and A. N. Kozlov, [Sov. Phys. JETP 27, 521 (1968)].
69. C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.040403 92, 040403 (2004).
70. J. G. Valatin and D. Butler, Nuovo Cimento NUCIAD 0029-6341 10.1007/BF02859603 10, 37 (1958).
71. F. W. Cummings and J. R. Johnson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.151.105 151, 105 (1966).
72. F. W. Cummings and J. R. Johnson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.164.270 164, 270 (1967).
73. A. Coniglio and M. Marinaro, Nuovo Cimento B NCIBAW 0369-3554 10.1007/BF02712190 48, 249 (1967).
74. A. Coniglio, F. Mancini, and M. Maturi, Nuovo Cimento B NCIBAW 0369-3554 10.1007/BF02711056 63, 227 (1969).
75. W. A. B. Evans and Y. Imry, Nuovo Cimento B NCIBAW 0369-3554 10.1007/BF02711051 63, 155 (1969).
76. P. Nozières and D. Saint James, J. Phys. France 0368-3842 10.1051/jphys:019820043070113300 43, 1133 (1982).
77. C. Mavroyannis, Phys. Rev. B NCIBAW 1098-0121 10.1103/PhysRevB.10.1741 10, 1741 (1974).
78. C. Mavroyannis, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00655843 25, 501 (1976).
79. S. A. Moskalenko and D. W. Snoke, Bose-Einstein Condensation of Excitons and Biexcitons: And Coherent Nonlinear Optics with Excitons (Cambridge University Press, Cambridge, 2000).
80. M. J. Rice and Y. R. Wang, Phys. Rev. B JLTPAC 1098-0121 10.1103/PhysRevB.37.5893 37, 5893 (1988).
81. M. Yu. Kagan and D. V. Efremov, Phys. Rev. B JLTPAC 1098-0121 10.1103/PhysRevB.65.195103 65, 195103 (2002).
82. D. V. Efremov and M. Yu. Kagan, Acta Phys. Pol. B 34, 591 (2003).
83. I. V. Brodsky, A. V. Klaptsov, M. Yu. Kagan, R. Combescot, and X. Leyronas, JETP Lett. JTPLA2 0021-3640 10.1134/1.2130911 82, 273 (2005).
84. I. V. Brodsky, M. Yu. Kagan, A. V. Klaptsov, R. Combescot, and X. Leyronas, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.032724 73, 032724 (2006).
85. L. Radzihovsky, J. Park, and P. B. Weichman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.160402 92, 160402 (2004).
86. M. W. J. Romans, R. A. Duine, S. Sachdev, and H. T. C. Stoof, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.020405 93, 020405 (2004).
87. L. Radzihovsky, P. B. Weichman, and J. I. Park, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/j.aop.2008.05.008 323, 2376 (2008).
88. A. Koetsier, P. Massignan, R. A. Duine, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.063609 79, 063609 (2009).
89. L. Zhou, J. Qian, H. Pu, W. Zhang, and H. Y. Ling, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.053612 78, 053612 (2008).
90. M. J. Bhaseen, A. O. Silver, M. Hohenadler, and B. D. Simons, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.265302 103, 265302 (2009).
91. V. G. Rousseau and P. J. H. Denteneer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.015301 102, 015301 (2009).
92. V. G. Rousseau and P. J. H. Denteneer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.013609 77, 013609 (2008).
93. S. G. Söyler, B. Capogrosso-Sansone, N. V. Prokof'ev, and B. V. Svistunov, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/7/073036 11, 073036 (2009).
94. A. Kuklov, N. Prokof'ev, and B. Svistunov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.050402 92, 050402 (2004).
95. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
96. A. V. Andreev, V. Gurarie, and L. Radzihovsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.130402 93, 130402 (2004).
97. R. A. Barankov and L. S. Levitov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.130403 93, 130403 (2004).
98. M. Tavis and F. W. Cummings, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.170.379 170, 379 (1968).