Phase transition of trapped interacting Bose gases

Laser Physics

Volumn 19, Issue 4, 2009, Pages 700-724

  Zobay, O ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE GAS; DISORDER EFFECTS; EXTERNAL POTENTIALS; HOMOGENEOUS SYSTEMS; INHOMOGENEITY; NONPERTURBATIVE; NONPERTURBATIVE EFFECTS; PERIODIC POTENTIALS; POWER-LAW POTENTIALS; RANDOM POTENTIALS; RENORMALIZATION GROUP METHODS; THEORETICAL FRAMEWORKS; TRAPPED GAS; TRAPPING POTENTIALS; VARIATIONAL PERTURBATION THEORIES;

CONDENSATION; PERTURBATION TECHNIQUES; STATISTICAL MECHANICS;

GASES;

EID: 65249125703     PISSN: 1054660X     EISSN: 15556611     Source Type: Journal    
DOI: 10.1134/S1054660X09040252     Document Type: Article

References (96)

1. K. Huang, Statistical Mechanics (Wiley, New York, 1988).
2. 4-Theories (World Sci., Singapore, 2001).
3. M. Barmatz I. Hahn J. A. Lipa R. V. Duncan 2007 Rev. Mod. Phys. 79 1
4. T. Donner S. Ritter T. Bourdel A. Öttl M. Köhl T. Esslinger 2007 Science 315 1556
5. V. I. Yukalov 2004 Laser Phys. Lett. 1 435
6. J. O. Andersen 2004 Rev. Mod. Phys. 76 599
7. E. L. Pollock K. J. Runge 1992 Phys. Rev. B 46 3535
8. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. A 54, R4633 (1996).
9. G. Baym J.-P. Blaizot M. Holzmann F. Laloë D. Vautherin 2001 Eur. Phys. J. B 24 107
10. T. D. Lee C. N. Yang 1957 Phys. Rev. 105 1119
11. M. Haque, cond-mat/0302076.
12. G. Baym J.-P. Blaizot M. Holzmann F. Laloë D. Vautherin 1999 Phys. Rev. Lett. 83 1703
13. M. Holzmann, G. Baym, J.-P. Blaizot, and F. Laloë, Phys. Rev. Lett. 87, 120403 (2001).
14. P. Arnold, G. Moore, and B. Tomásik, Phys. Rev. A 65, 013606 (2002).
15. P. Arnold and B. Tomásik, Phys. Rev. A 64, 053609 (2001).
16. D. B. Kaplan, nucl-th/9506035.
17. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford Univ., Oxford, 1989).
18. P. Grüter D. Ceperley F. Laloë 1997 Phys. Rev. Lett. 79 3549
19. M. Holzmann W. Krauth 1999 Phys. Rev. Lett. 83 2687
20. P. Arnold and G. D. Moore, Phys. Rev. E 64, 066113 (2001).
21. V. A. Kashurnikov, N. V. Prokof'ev, and B. V. Svistunov, Phys. Rev. Lett. 87, 120402 (2001).
22. E. Braaten and E. Radescu, Phys. Rev. Lett. 89, 271602 (2002).
23. E. Braaten and E. Radescu, Phys. Rev. A 66, 063601 (2002).
24. F. F. de Souza Cruz, M. B. Pinto, and R. O. Ramos, Phys. Rev. B 64, 014515 (2001).
25. F. F. de Souza Cruz, M. B. Pinto, R. O. Ramos, and P. Sena, Phys. Rev. A 65, 053613 (2002).
26. J.-L. Kneur, M. B. Pinto, and R. O. Ramos, Phys. Rev. A 68, 043615 (2003).
27. J.-L. Kneur and M. B. Pinto, Phys. Rev. A 71, 033613 (2005).
28. H. Kleinert 2003 Mod. Phys. Lett. B 17 1011
29. B. Kastening, Phys. Rev. A 68, 061601(R) (2003);
30. Phys. Rev. A 69, 043613 (2004);
31. Laser Phys. 14, 586 (2004).
32. S. Ledowski, N. Hasselmann, and P. Kopietz, Phys. Rev. A 69, 061601 (R) (2004).
33. N. Hasselmann, S. Ledowski, and P. Kopietz, Phys. Rev. A 70, 063621 (2004).
34. J.-P. Blaizot R. M. Galain N. Wschebor 2005 Europhys. Lett. 72 705
35. N. Sandoval-Figueroa and V. Romero-Rochín, arXiv:0706.1322 (2007).
36. F. Gerbier, J. H. Thywissen, S. Richard, M. Hugbart, P. Bouyer, and A. Aspect, Phys. Rev. Lett. 92, 030405 (2004).
37. K. G. Wilson J. Kogut 1974 Phys. Rep., Phys. Lett. 12 75
38. K. K. Singh 1975 Phys. Rev. B 12 2819
39. R. J. Creswick F. W. Wiegel 1983 Phys. Rev. A 28 1579
40. D. S. Fisher P. C. Hohenberg 1988 Phys. Rev. B 37 4936
41. E. B. Kolomeisky J. P. Straley 1992 Phys. Rev. B 46 11749
42. M. Bijlsma H. T. C. Stoof 1996 Phys. Rev. A 54 5085
43. J. O. Andersen M. Strickland 1999 Phys. Rev. A 60 1442
44. G. Alber, Phys. Rev. A 63, 023613 (2001).
45. O. Zobay, Phys. Rev. A 73, 023616 (2006).
46. O. Zobay, G. Metikas, and G. Alber, Phys. Rev. A 69, 063615 (2004).
47. M. Rosenkranz and O. Zobay, Phys. Rev. A 74, 053623 (2006).
48. G. Metikas, O. Zobay, and G. Alber, Phys. Rev. A 69, 043614 (2004).
49. G. Metikas O. Zobay G. Alber 2003 J. Phys. B 36 4595
50. A. Pelster, Lecture Notes on Bose-Einstein Condensation (2004); http://www.theo-phys.uni-essen.de/tp/ags/pelster-dir/SS04/skript.pdf.
51. G. Metikas G. Alber 2002 J. Phys. B 35 4223
52. T. R. Morris 1994 Int. J. Mod. Phys. A 9 2411
53. T. R. Morris M. D. Turner 1998 Nucl. Phys. B 509 637
54. O. Zobay, G. Metikas, and H. Kleinert, Phys. Rev. A 71, 043614 (2005).
55. O. Zobay 2004 J. Phys. B 37 2593
56. K. Nho and D. P. Landau, Phys. Rev. A 70, 053614 (2004).
57. B. Kastening, Phys. Rev. A 70, 043621 (2004).
58. H. Kleinert, S. Schmidt, and A. Pelster, Phys. Rev. Lett. 93, 160402 (2004).
59. S. Pilati, S. Giorgini, and N. Prokof'ev, Phys. Rev. Lett. 100, 140405 (2008).
60. M. E. Fisher, Scaling, Universality and Renormalization Group Theory in Critical Phenomena, Lecture Notes in Physics, Vol. 186, ed. by F. J. W. Hahne (Springer, Berlin, 1983), pp. 1-139.
61. M. Houbiers H. T. C. Stoof E. A. Cornell 1997 Phys. Rev. A 56 2041
62. T. Bergeman, D. L. Feder, N. L. Balazs, and B. I. Schneider, Phys. Rev. A 61, 063605 (2000).
63. V. Bagnato D. E. Pritchard D. Kleppner 1987 Phys. Rev. A 35 4354
64. M. Li L. Chen C. Chen 1999 Phys. Rev. A 59 3109
65. Z. Yan M. Li L. Chen C. Chen J. Chen 1999 J. Phys. A 32 4069
66. Z. Yan, Phys. Rev. A 61, 063607 (2000).
67. L. Salasnich 2000 J. Math. Phys. 41 8016
68. O. Mulken, P. Borrmann, J. Harting, and H. Stamerjohanns, Phys. Rev. A 64, 013611 (2001).
69. V. I. Yukalov, Phys. Rev. A 72, 033608 (2005).
70. H. Shi W.-M. Zheng 1997 Phys. Rev. A 56 1046
71. H. Shi W.-M. Zheng 1997 Phys. Rev. A 56 2984
72. S. Pearson T. Pang C. Chen 1998 Phys. Rev. A 58 4796
73. M. Bayindir B. Tanatar Z. Gedik 1999 Phys. Rev. A 59 1468
74. L. Salasnich 2002 Int. J. Mod. Phys. B 16 2185
75. H. Suzuki M. Suzuki 2003 Int. J. Mod. Phys. B 17 2439
76. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Pergamon, Oxford, 1977).
77. J. D. Reppy B. C. Crooker B. Hebral A. D. Corwin J. He G. M. Zassenhaus 2000 Phys. Rev. Lett. 84 2060
78. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, 3rd ed. (World Sci., Singapore, 2004); http://www.physik.fuberlin.de/:-kleinert/b8.
79. H. Kleinert 1998 Phys. Rev. D 57 2264
80. H. Kleinert, Phys. Rev. D 60, 085001 (1999); hep-th/9812197.
81. J. A. Lipa, J. A. Nissen, D. A. Stricker, D. R. Swanson, and T. C. P. Chui, Phys. Rev. B 68, 174518 (2003).
82. V. I. Yukalov 1976 Moscow Univ. Phys. Bull. 31 10
83. V. I. Yukalov E. P. Yukalova 2002 Chaos Solit. Fract. 14 839
84. W. Zwerger, J. Opt. B 5, S9 (2003).
85. K. Huang H.-F. Meng 1992 Phys. Rev. Lett. 69 644
86. A. V. Lopatin and V. M. Vinokur, Phys. Rev. Lett. 88, 235503 (2002).
87. V. I. Yukalov and R. Graham, Phys. Rev. A 75, 023619 (2007).
88. V. I. Yukalov, E. P. Yukalova, K. V. Krutitsky, and R. Graham, Phys. Rev. A 76, 053623 (2007).
89. M. Mezard, G. Parisi, and M. Virasoro, Spin Glass Theory and Beyond (World Sci., Singapore, 1987).
90. A. B. Harris T. C. Lubensky 1974 Phys. Rev. Lett. 33 1540
91. T. C. Lubensky 1975 Phys. Rev. B 11 3573
92. G. Grinstein A. Luther 1976 Phys. Rev. B 13 1329
93. D. Khmelnitskii 1976 Sov. Phys. JETP 41 981
94. J. Hertz 1985 Phys. Scr. T 10 1
95. R. Graham and A. Pelster, cond-mat/0508306.
96. A. J. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (MacGraw-Hill, New York, 1971).