Gapless Hartree-Fock-Bogoliubov approximation for Bose gases

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 6, 2006, Pages

  Yukalov, V I ^a,b   Kleinert, H ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

^b JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; LAGRANGE MULTIPLIERS; QUANTUM THEORY;

BOSE GASES; BOSE-EINSTEIN CONDENSATE; HARTREE-FOCK-BOGOLIUBOV APPROXIMATION; PHYSICAL NORMALIZATION CONDITIONS;

GAS DYNAMICS;

EID: 33745041991     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.063612     Document Type: Article

References (45)

1. P. W. Courteille, V. S. Bagnato, and V. I. Yukalov, Laser Phys. LAPHEJ 1054-660X 11, 659 (2001).
2. C. J. Pethic and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002).
3. L. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Clarendon, Oxford, 2003).
4. J. O. Andersen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.599 76, 599 (2004).
5. K. Bongs and K. Sengstock, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/67/6/R03 67, 907 (2004).
6. N. N. Bogoliubov, J. Phys. (Moscow) JOPYA6 0368-3400 11, 23 (1947).
7. N. N. Bogoliubov, Moscow Univ. Phys. Bull. MUPBAC 0027-1349 7, 43 (1947).
8. N. N. Bogoliubov, Lectures on Quantum Statistics (Gordon and Breach, New York, 1967), Vol. 1.
9. N. N. Bogoliubov, Lectures on Quantum Statistics (Gordon and Breach, New York, 1970), Vol. 2.
10. M. Girardeau and R. Arnowitt, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.113.755 113, 755 (1959).
11. N. M. Hugenholtz and D. Pines, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.116.489 116, 489 (1959).
12. J. Goldstone, Nuovo Cimento NUCIAD 0029-6341 19, 154 (1961).
13. N. N. Bogolubov and N. N. Bogolubov Jr., Introduction to Quantum Statistical Mechanics (Gordon and Breach, Lausanne, 1994).
14. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets (World Scientific, Singapore, 2004).
15. H. Kleinert, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1006/aphy.1998.5789 266, 135 (1998).
16. J. M. Luttinger and J. D. Ward, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.118.1417 118, 1417 (1960).
17. G. Baym, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.127.1391 127, 1391 (1962).
18. J. M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.10.2428 10, 2428 (1974).
19. G. Baym and G. Grinstein, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.15.2897 15, 2897 (1977).
20. H. Kleinert, Fortschr. Phys. FPYKA6 0015-8208 30, 187 (1982).
21. P. C. Hohenberg and P. C. Martin, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(65)90280-0 34, 291 (1965).
22. V. N. Popov and L. D. Faddeev, Sov. Phys. JETP SPHJAR 0038-5646 20, 890 (1965).
23. V. N. Popov, Sov. Phys. JETP SPHJAR 0038-5646 20, 1185 (1965).
24. V. N. Popov, Functional Integrals in Quantum Field Theory and Statistical Physics (Reidel, Dordrecht, 1983).
25. V. N. Popov, Functional Integrals and Collective Modes (Cambridge University, New York, 1987).
26. V. I. Yukalov and E. P. Yukalova, Laser Phys. Lett. LPLABC 1612-2011 10.1002/lapl.200510031 2, 506 (2005).
27. V. I. Yukalov, Laser Phys. Lett. LPLABC 1612-2011 10.1002/lapl.200410157 2, 156 (2005).
28. D. A. Kirzhnits and A. D. Linde, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(76)90279-7 101, 195 (1976).
29. D. A. W. Hutchinson, K. Burnett, R. J. Dodd, S. A. Morgan, M. Rusch, E. Zaremba, N. P. Proukakis, M. Edwards, and C. W. Clark, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/33/19/302 33, 3825 (2000).
30. M. Fliesser, J. Reidl, P. Szepfalusy, and R. Graham, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.013609 64, 013609 (2001).
31. Y. B. Ivanov, F. Riek, and J. Knoll, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.71.105016 71, 105016 (2005).
32. T. Kita, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.74.1891 74, 1891 (2005).
33. V. I. Yukalov and E. P. Yukalova, Phys. Part. Nucl. PPNUER 1063-7796 10.1134/1.953031 28, 37 (1997).
34. V. I. Yukalov and E. P. Yukalova, Physica A PHYADX 0378-4371 243, 382 (1997).
35. J. Ginibre, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01646422 8, 26 (1968).
36. G. Cuniberti, E. De Micheli, and G. A. Viano, Commun. Math. Phys. CMPHAY 0010-3616 216, 59 (2001).
37. N. G. Berloff and P. H. Roberts, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/32/30/308 32, 5611 (1999).
38. N. G. Berloff, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1021707509219 116, 359 (1999).
39. H. H. Sørensen, D. V. Fedorov, and A. S. Jensen, AIP Conf. Proc. APCPCS 0094-243X 10.1063/1.1996868 777, 12 (2005).
40. S. A. Morgan, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/33/19/303 33, 3847 (2000).
41. S. Giorgini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.063615 61, 063615 (2000).
42. S. A. Morgan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.023609 69, 023609 (2004).
43. A. Griffin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.9341 53, 9341 (1996).
44. T. D. Lee, K. Huang, and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.106.1135 106, 1135 (1957).
45. T. D. Lee and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.105.1119 105, 1119 (1957).