Dilute bose gas: Short-range particle correlations and ultraviolet divergence

European Physical Journal B

Volumn 19, Issue 4, 2001, Pages 555-564

  Cherny, A Yu ^a   Shanenko, A A ^a  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

03.75.Fi Phase coherent atomic ensembles; quantum condensation phenomena; 05.30.Jp Boson systems; 67.40.Db Quantum statistical theory; ground state, elementary excitations

Indexed keywords

EID: 0008207786     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510170301     Document Type: Article

References (34)

1. M.H. Anderson, J.R. Enscher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D. M. Kurn, W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995); C.C. Bradley, C.A. Sackett, J.J. Tollett, R. G. Hulet, ibid. 75, 1687 (1995);
2. M.H. Anderson, J.R. Enscher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D. M. Kurn, W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995); C.C. Bradley, C.A. Sackett, J.J. Tollett, R. G. Hulet, ibid. 75, 1687 (1995);
3. M.H. Anderson, J.R. Enscher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D. M. Kurn, W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995); C.C. Bradley, C.A. Sackett, J.J. Tollett, R. G. Hulet, ibid. 75, 1687 (1995);
4. C.C. Bradley, C.A. Sackett, R.G. Hulet, ibid. 78, 985 (1997).
5. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999); A.S. Parkins, D.F. Walls, Phys. Rep. 303, 1 (1998).
6. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999); A.S. Parkins, D.F. Walls, Phys. Rep. 303, 1 (1998).
7. T.D. Lee, K. Huang, C.N. Yang, Phys. Rev. 106, 1135 (1957); K.A. Brueckner, K. Sawada, Phys. Rev. 106, 1117 (1957); S.T. Beliaev, Zh. Exp. Teor. Fiz. 34, 433 (1958) [Sov. Phys. JETP 7, 299 (1958)]; N.M. Hugenholtz, D. Pines, Phys. Rev. 116, 489 (1959) (for recent situation see E. Braaten, A. Nieto, Eur. Phys. J. B 11, 143 (1999)).
8. T.D. Lee, K. Huang, C.N. Yang, Phys. Rev. 106, 1135 (1957); K.A. Brueckner, K. Sawada, Phys. Rev. 106, 1117 (1957); S.T. Beliaev, Zh. Exp. Teor. Fiz. 34, 433 (1958) [Sov. Phys. JETP 7, 299 (1958)]; N.M. Hugenholtz, D. Pines, Phys. Rev. 116, 489 (1959) (for recent situation see E. Braaten, A. Nieto, Eur. Phys. J. B 11, 143 (1999)).
9. T.D. Lee, K. Huang, C.N. Yang, Phys. Rev. 106, 1135 (1957); K.A. Brueckner, K. Sawada, Phys. Rev. 106, 1117 (1957); S.T. Beliaev, Zh. Exp. Teor. Fiz. 34, 433 (1958) [Sov. Phys. JETP 7, 299 (1958)]; N.M. Hugenholtz, D. Pines, Phys. Rev. 116, 489 (1959) (for recent situation see E. Braaten, A. Nieto, Eur. Phys. J. B 11, 143 (1999)).
10. T.D. Lee, K. Huang, C.N. Yang, Phys. Rev. 106, 1135 (1957); K.A. Brueckner, K. Sawada, Phys. Rev. 106, 1117 (1957); S.T. Beliaev, Zh. Exp. Teor. Fiz. 34, 433 (1958) [Sov. Phys. JETP 7, 299 (1958)]; N.M. Hugenholtz, D. Pines, Phys. Rev. 116, 489 (1959) (for recent situation see E. Braaten, A. Nieto, Eur. Phys. J. B 11, 143 (1999)).
11. T.D. Lee, K. Huang, C.N. Yang, Phys. Rev. 106, 1135 (1957); K.A. Brueckner, K. Sawada, Phys. Rev. 106, 1117 (1957); S.T. Beliaev, Zh. Exp. Teor. Fiz. 34, 433 (1958) [Sov. Phys. JETP 7, 299 (1958)]; N.M. Hugenholtz, D. Pines, Phys. Rev. 116, 489 (1959) (for recent situation see E. Braaten, A. Nieto, Eur. Phys. J. B 11, 143 (1999)).
12. T.D. Lee, K. Huang, C.N. Yang, Phys. Rev. 106, 1135 (1957); K.A. Brueckner, K. Sawada, Phys. Rev. 106, 1117 (1957); S.T. Beliaev, Zh. Exp. Teor. Fiz. 34, 433 (1958) [Sov. Phys. JETP 7, 299 (1958)]; N.M. Hugenholtz, D. Pines, Phys. Rev. 116, 489 (1959) (for recent situation see E. Braaten, A. Nieto, Eur. Phys. J. B 11, 143 (1999)).
13. m (m > 3) at r → 0 or the hard-sphere potential (22) belongs to that type.
14. N.N. Bogoliubov, J. Phys. (USSR) 11, 23 (1947), reprinted in reference [7].
15. P. Nozières, D. Pines, Nuovo Cimento IX, 470 (1958).
16. The many-body problem, edited by D. Pines, (W.A. Benjamin, New York, 1961), p. 76.
17. A.Yu. Cherny, A.A. Shanenko, J. Phys. Stud. (Ukraine) 3, 272 (1999), the Issue in memory of academician Bogoliubov; cond-mat/9904217.
18. T.D. Lee, C.N. Yang, Phys. Rev. 105, 1119 (1957).
19. W. Ketterle, H.-J. Miesner, Phys. Rev. A 56, 3291 (1997); A. Minguzzi, P. Vignolo, M.P. Tosi, Phys. Rev. A 62, 023604 (2000).
20. W. Ketterle, H.-J. Miesner, Phys. Rev. A 56, 3291 (1997); A. Minguzzi, P. Vignolo, M.P. Tosi, Phys. Rev. A 62, 023604 (2000).
21. E.H. Lieb, J. Yngvason, Phys. Rev. Lett. 80, 2504 (1998).
22. p(k) is governed by the in-medium pair wave functions.
23. A.Yu. Cherny, cond-mat/9807120.
24. A.Yu. Cherny, A.A. Shanenko, Phys. Rev. E 60, R5 (1999).
25. A.Yu. Cherny, A.A. Shanenko, Phys. Rev. B 60, 1276 (1999).
26. 0.
27. A.L. Fetter, J.D. Walecka, Quantum theory of many-particle systems (McGraw-Hill, New York, 1971).
28. It is not, of course, the case at nonzero temperatures.
29. H.A. Bethe, J. Goldstone, Proc. R. Soc. London, Ser. A 238, 551 (1957).
30. See the footnote in reference [5].
31. 1/2 uniformly converges for q → ∞ with respect to the parameter √n for n → 0.
32. H. Shi, A. Griffin, Phys. Rep. 304, 1 (1998).
33. S. Giorgini, J. Boronat, J. Casulleras, Phys. Rev. A 60, 5129 (1999).
34. N.N. Bogoliubov, Lectures on quantum statistics, Vol. 2 (Gordon and Breach, New York, 1970), p. 1.