Damping in dilute Bose gases: A mean-field approach

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 57, Issue 4, 1998, Pages 2949-2957

  Giorgini, S ^a,b  

^a ECT   (Italy)

^b INFM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000438641     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.57.2949     Document Type: Article

References (38)

1. D. S. Jin, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 77, 420 (1996).PRLTAO
2. M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. M. Kurn, D. S. Durfee, C. G. Townsend, and W. Ketterle, Phys. Rev. Lett. 77, 988 (1996).PRLTAO
3. D. S. Jin, M. R. Matthews, J. R. Ensher, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 78, 764 (1997).PRLTAO
4. K. G. Singh and D. S. Rokhsar, Phys. Rev. Lett. 77, 1667 (1996); PRLTAO
5. Phys. Rev. Lett.S. Stringari, 77, 2360 (1996);
6. Phys. Rev. Lett.M. Edwards, P. A. Ruprecht, K. Burnett, R. J. Dodd, and C. W. Clark, 77, 1671 (1996);
7. B. D. Esry, Phys. Rev. A 55, 1147 (1997).PLRAAN
8. A. Griffin, Phys. Rev. B 53, 9341 (1996).PRBMDO
9. D. A. W. Hutchinson, E. Zaremba, and A. Griffin, Phys. Rev. Lett. 78, 1842 (1997).PRLTAO
10. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. A 54, 4633 (1996); PLRAAN
11. S. GiorginiL. P. PitaevskiiS. StringariPhys. Rev. Lett. 78, 3987 (1997);
12. S. GiorginiL. P. PitaevskiiS. StringariJ. Low Temp. Phys. 109, 309 (1997).
13. A. Minguzzi, S. Conti, and M. P. Tosi, J. Phys.: Condens. Matter 9, L33 (1997).JCOMEL
14. R. J. Dodd, M. Edwards, C. W. Clark, and K. Burnett, e-print cond-mat/9708139.
15. F. Dalfovo, S. Giorgini, M. Guilleumas, L. P. Pitaevskii, and S. Stringari, Phys. Rev. A 56, 3840 (1997).PLRAAN
16. E. Zaremba, A. Griffin, and T. Nikuni, e-print cond-mat/9705134.
17. A. Griffin, W.-C. Wu, and S. Stringari, Phys. Rev. Lett. 78, 1838 (1997).PRLTAO
18. W. V. Liu and W. C. Shieve, e-print cond-mat/9702122.
19. L. P. Pitaevskii and S. Stringari, Phys. Lett. A 235, 398 (1997).PYLAAG
20. W. V. Liu, e-print cond-mat/9708080.
21. P. O. Fedichev, G. V. Shlyapnikov, and J. M. T. Walraven, e-print cond-mat/9710128.
22. P. C. Hohenberg and P. C. Martin, Ann. Phys. (N.Y.) 34, 291 (1965).APNYA6
23. A similar time-dependent mean-field approach has also been developed in A. Minguzzi and M. P. Tosi, e-print cond-mat/9709323; and
24. in the framework of the (Formula presented)-matrix approximation in N. P. Proukakis, K. Burnett, and H. T. C. Stoof, e-print cond-mat/9703199.
25. V. N. Popov, Zh. Eksp. Teor. Fiz. 47, 1759 (1964) [Sov. Phys. JETP 20, 1185 (1965)];SPHJAR
26. V. N. Popov, Functional Integrals and Collective Excitations (Cambridge University Press, Cambridge, 1987).
27. H. Shi, Ph.D. thesis, University of Toronto (1997).
28. V. V. Goldman, I. F. Silvera, and A. J. Leggett, Phys. Rev. B 24, 2870 (1981); PRBMDO
29. D. A. Huse and E. D. Siggia, J. Low Temp. Phys. 46, 137 (1982).JLTPAC
30. S. T. Beliaev, Zh. Eksp. Teor. Fiz. 34, 433 (1958) [Sov. Phys. JETP 7, 299 (1958)].SPHJAR
31. P. Szépfalusy and I. Kondor, Ann. Phys. (N.Y.) 82, 1 (1974).APNYA6
32. A. Andreev and I. Khalatnikov, Zh. Eksp. Teor. Fiz. 44, 2508 (1963) [Sov. Phys. JETP 17, 1384 (1963)].SPHJAR
33. E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Pergamon, Oxford, 1981), pp. 327–328.
34. Beliaev damping can also be calculated at finite temperature and it is given by (Formula presented) In the quantum regime (Formula presented) one has (Formula presented) while in the thermal regime (Formula presented) one finds (Formula presented) and the Beliaev damping is overwhelmed by Landau damping.
35. For a discussion on the chemical potential in various approximations for Bose-condensed systems and its connection to the Hugenholtz-Pines theorem, see Ref. 5.
36. T. D. Lee, K. Huang, and C. N. Yang, Phys. Rev. 106, 1135 (1957).PHRVAO
37. R. K. Pathria, Statistical Mechanics (Pergamon, Oxford, 1972), pp. 350–355.
38. E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics (Pergamon, Oxford, 1980), Pt. 2, p. 101.