Finite-temperature correlations in the one-dimensional trapped and untrapped Bose gases

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 69, Issue 2, 2004, Pages 236191-2361915

  Bogoliubov, N M ^a   Malyshev, C ^a   Bullough, R K ^b   Timonen, J ^c  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

^c UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; FERMIONS; GREEN'S FUNCTION; GROUND STATE; HAMILTONIANS; HIGH ENERGY PHYSICS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; THERMODYNAMIC PROPERTIES;

FINITE TEMPERATURE CORRELATIONS; FUNCTIONAL INTEGRAL METHODS;

GAS CONDENSATES;

EID: 1942507351     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (46)

1. A. Görlitz, J.M. Vogels, A.E. Leanhardt, C. Raman, T.L. Gustavson, J.R. Abo-Shaeer, A.P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, Phys. Rev. Lett. 87, 130402 (2001).
2. F. Schreck, L. Khaykovich, K.L. Corwin, G. Ferrari, T. Bourdel, J. Cubizolles, and C. Salomon, Phys. Rev. Lett. 87, 080403 (2001).
3. M. Greiner, I. Bloch, O. Mandel, T.W. Mansch, and T. Esslinger, Phys. Rev. Lett. 87, 160405 (2001).
4. K. Bongs, S. Burger, S. Dettmer, D. Hellweg, J. Arlt, W. Ertmer, and K. Sengstock, Phys. Rev. A 63, 031602 (2001).
5. C. J. Pethic and H. Smith, Bose-Enstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002).
6. M.D. Girardeau, J. Math. Phys. 1, 516 (1960).
7. E.H. Lieb and W. Liniger, Phys. Rev. 130, 1605 (1963).
8. C.N. Yang and C.P. Yang, J. Math. Phys. 10, 1115 (1969).
9. V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge University Press, Cambridge, England, 1993).
10. R. K. Bullough and J. T. Timonen, in Statistical Mechanics and Field Theory, edited by V. V. Bazhanov and C. J. Burden (World Scientific, Singapore, 1995), pp. 336-414.
11. D.M. Gangardt and G.V. Shlyapnikov, Phys. Rev. Lett. 90, 010401 (2003).
12. E.H. Lieb, R. Seiringer, and J. Yngvason, e-print arXiv:cond-mat/0304071.
13. V. N. Popov, Functional Integrals in Quantum Field Theory and Statistical Physics (Reidel, Dordrecht, 1983).
14. T.-L. Ho and M. Ma, J. Low Temp. Phys. 115, 61 (1999).
15. D.S. Petrov, G.V. Shlyapnikov, and J.T.M. Walraven, Phys. Rev. Lett. 85, 3745 (2000).
16. N.M. Bogoliubov, R.K. Bullough, V.S. Kapitonov, C. Malyshev, and J. Timonen, Europhys. Lett. 55, 755 (2001).
17. S. Dettmer, D. Hellweg, P. Ryytty, J.J, Arlt, W. Ertmer, K. Sengstock, D.S. Petrov, G.V. Shlyapnikov, H. Kreutzmann, L. Santos, and M. Lewenstein, Phys. Rev. Lett. 87, 160406 (2001).
18. I. Shvarchuck, Ch. Buggle, D.S. Petrov, K. Dieckmann, M. Zielonkowski, M. Kemmann, T.G. Tiecke, W. von Klitzing, G.V. Shlyapnikov, and J.T.M. Walraven, Phys. Rev. Lett. 89, 270404 (2002)
19. F. Gerbier, J.H. Thywissen, S. Richard, M. Hugbart, P. Bouyer, and A. Aspect, e-print arXiv:cond-mat/0211094.
20. S. Richard, F. Gerbier, J.H. Thywissen, M. Hugbart, P. Bouyer, and A. Aspect, e-print arXiv:cond-mat/0303137.
21. K.V. Kheruntsyan, D.M. Gangardt, P.D. Drummond, and G.V. Shlyapnikov, e-print arXiv:cond-mat/0212153.
22. E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics, Part 2, L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics Vol. 9 (Pergamon Press, Oxford, 1980), pp. 146 and 147 and following pages.
23. M. Naraschewski and R.J. Glauber, Phys, Rev. A 59, 4595 (1999).
24. U. AI Khawaja, J.O. Andersen, N.P. Proukakis, and H.T. C. Stoof, Phys. Rev. A 66, 013615 (2002).
25. J.O. Andersen, U. AI Khawaja, and H.T.C. Stoof, Phys. Rev. Lett. 88, 070407 (2002).
26. D.S. Petrov, G.V. Shlyapnikov, and J.T.M. Walraven, Phys. Rev. Lett. 87, 050404 (2001).
27. D.L. Luxat and A. Griffin, Phys. Rev. A 67, 043603 (2003).
28. V. Dunjko, V. Lorent, and M. Olshanii, Phys. Rev. Lett. 86, 5413 (2001).
29. M. Olshanii, Phys. Rev. Lett. 81, 938 (1998).
30. N.M. Bogoliubov, R.K. Bullough, and J. Timonen, Phys. Rev. Lett. 72, 3933 (1994).
31. H.T.C. Stoof, J. Low Temp. Phys. 114, 11 (1999).
32. S. Stringari, Phys. Rev. Lett. 77, 2360 (1996).
33. S. Stringari, Phys. Rev. A 58, 2385 (1998).
34. V.N. Popov, Zap. Nauchn. Semin. LOMI 150, 87 (1986) [J. Sov. Math. 46, 1619 (1989)].
35. V.N. Popov, Zap. Nauchn. Semin, LOMI 150, 87 (1986) [J. Sov. Math. 46, 1619 (1989)].
36. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
37. D. Hellweg, S. Dettmer, P. Ryytty, J.J. Arlt, W. Ertmer, K. Sengstock, D.S. Petrov, G.V. Shlyapnikov, H. Kreutzmann, L. Santos, and M. Lewenstein, Appl. Phys. B: Lasers Opt. 73, 781 (2001).
38. E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonics (Cambridge University Press, Cambridge, 1931).
39. N.M. Bogoliubov, Zap. Nauchn. Semin. LOMI 269, 125 (2000).
40. V.N. Popov, JETP Lett. 31, 526 (1980).
41. R.K. Bullough, N.M. Bogoliubov, V.S. Kapitonov, C. Malyshev, J. Timonen, A.V. Rybin, G.G. Varzugin, and M. Lindberg, Theor. Math. Phys. 134, 47 (2003).
42. C. Itzykson and J.-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
43. P. Ramond, Field Theory: A Modern Primer (Benjamin, Reading, MA, 1981).
44. N.N. Bogoliubov, Izvestia AN SSSR 11, 77 (1947) [J. Phys. (Moscow) 11, 23 (1947)].
45. N.N. Bogoliubov, Izvestia AN SSSR 11, 77 (1947) [J. Phys. (Moscow) 11, 23 (1947)].
46. M. Naraschewski and D.M. Stamper-Kurn, Phys. Rev. A 58, 2423 (1998).