Finite-temperature perturbation theory for a spatially inhomogeneous Bose-condensed gas

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 58, Issue 4, 1998, Pages 3146-3158

  Fedichev, P O ^a,b   Shlyapnikov, G V ^a,b  

^a FOM INSTITUTE AMOLF   (Netherlands)

^b KURCHATOV INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001471609     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.58.3146     Document Type: Article

References (46)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995).SCIEAS
2. C. C. Bradley, C. A. Sackett, J. J. Tolett, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995).PRLTAO
3. K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995).PRLTAO
4. D. S. Jin, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 78, 764 (1997).PRLTAO
5. D. M. Stamper-Kurn, H.-J. Miesner, S. Inouye, M. R. Andrews, and W. Ketterle, Phys. Rev. Lett. 81, 500 (1998).PRLTAO
6. N. Bogolyubov, J. Phys. (Moscow) 11, 23 (1947).JOPYA6
7. T. D. Lee and C. N. Yang, Phys. Rev. 112, 1419 (1958).PHRVAO
8. V. N. Popov, Sov. Phys. JETP 20, 1185 (1965).SPHJAR
9. P. R. de Gennes, Superconductivity of Metals and Alloys (Benjamin, New York, 1966).
10. L. P. Pitaevskii, Sov. Phys. JETP 13, 451 (1961).SPHJAR
11. E. P. Gross, Nuovo Cimento 20, 454 (1961); NUCIAD
12. E. P. GrossJ. Math. Phys. 4, 195 (1963).
13. S. T. Beliaev, Sov. Phys. JETP 7, 289 (1958).SPHJAR
14. N. Hugenholtz and D. Pines, Phys. Rev. 116, 489 (1959).PHRVAO
15. V. N. Popov, Functional Integrals in Quantum Field Theory and Statistical Physics (Reidel, Dordrecht, 1983).
16. L. D. Landau and E. M. Lifshitz, Statistical Physics, Part 2 (Pergamon, Oxford, 1980).
17. P. C. Hohenberg and P. C. Martin, Ann. Phys. (N.Y.) 34, 291 (1965).APNYA6
18. P. Szepfalusy and I. Kondor, Ann. Phys. (N.Y.) 82, 1 (1974).APNYA6
19. H. Shi, thesis, University of Toronto, 1997 (unpublished);H. Shi and A. Griffin, Phys. Rep. (to be published).
20. W. Vincent Liu, Phys. Rev. Lett. 79, 4056 (1997).PRLTAO
21. L. P. Pitaevskii and S. Stringari, Phys. Lett. A 235, 398 (1997).PYLAAG
22. P. O. Fedichev, G. V. Shlyapnikov, and J. T. M. Walraven, Phys. Rev. Lett. 80, 2269 (1998).PRLTAO
23. S. Giorgini, Phys. Rev. A 57, 2949 (1998).PLRAAN
24. M. R. Andrews, D. M. Kurn, H.-J. Miesner, D. S. Durfee, C. G. Townsend, S. Inouye, and W. Ketterle, Phys. Rev. Lett. 79, 553 (1997).PRLTAO
25. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1975).
26. V. V. Goldman, I. F. Silvera, and A. J. Legget, Phys. Rev. B 24, 2870 (1981); PRBMDO
27. D. A. Huse and E. D. Siggia, J. Low Temp. Phys. 46, 137 (1982).JLTPAC
28. S. Stringari, Phys. Rev. Lett. 77, 2360 (1996).PRLTAO
29. P. Ohberg, E. L. Surkov, I. Tittonen, S. Stenholm, M. Wilkens, and G. V. Shlyapnikov, Phys. Rev. A 56, R3346 (1997).PLRAAN
30. M. Fliesser, A. Csordas, P. Szepfalusy, and R. Graham, Phys. Rev. A 56, R2533 (1997).PLRAAN
31. L. D. Landau and E. M. Lifshitz, Statistical Physics, Part 1 (Pergamon, Oxford, 1980).
32. A. Griffin, Phys. Rev. A 53, 9341 (1996).PLRAAN
33. B. Chirikov, e-print chao-dyn/9705003.
34. E. A. Shapoval, Sov. Phys. JETP 20, 675 (1964).SPHJAR
35. L. P. Gor’kov and G. M. Eliashberg, Sov. Phys. JETP 21, 940 (1965).SPHJAR
36. G. Lŭders and K.-D. Usadel, The Method of the Correlation Function in Superconductivity Theory, Springer Tracts in Modern Physics Vol. 56, edited by G. Hŏhler (Springer-Verlag, Berlin, 1971).
37. D. A. Hutchinson, E. Zaremba, and A. Griffin, Phys. Rev. Lett. 78, 1842 (1997).PRLTAO
38. R. J. Dodd, K. Burnett, M. Edwards, and Ch. W. Clark, Phys. Rev. A 57, R32 (1998); PLRAAN
39. R. J. DoddK. BurnettM. EdwardsCh. W. Clarke-print cond-mat/9712286.
40. H. Shi and W.-M. Zheng, e-print cond-mat/9804108.
41. V. B. Shenoy and Tin-Lun Ho, Phys. Rev. Lett. 80, 3895 (1998).PRLTAO
42. E. Zaremba, Phys. Rev. A 57, 518 (1998).PLRAAN
43. G. M. Kavouylakis and C. J. Pethick, e-print cond-mat/9711224.
44. S. Stringari, e-print cond-mat/980106.
45. A. Minguzzi and M. P. Tosi, J. Phys.: Condens. Matter. 9, 10 211 (1998).JCOMEL
46. After our paper was completed and submitted, an attempt to reach beyond the mean field and calculate the energy shifts for the JILA experiment 4 was made in D. A. Hutchinson, R. J. Dodd, and K. Burnett, e-print cond-mat/9805050.