PL EN


Preferences help
enabled [disable] Abstract
Number of results
2001 | 100 | Supplement | 7-28
Article title

Statistical Physics of Bose-Einstein Condensation

Content
Title variants
Languages of publication
EN
Abstracts
EN
We review a progress in understanding of statistical properties of a quantum degenerate Bose gas. We show how the Maxwell demon ensemble helps to compute fluctuations of the Bose-Einstein condensate of an ideal Bose gas according to the microcanonical ensemble. Then, we review a method of measuring these fluctuations. Using a soluble model of interacting Bose gas we also stress the importance of higher-order correlation functions. Finally, we review our novel computational method of studying an interacting Bose gas near its critical temperature.
Keywords
EN
Contributors
author
  • Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warsaw, Poland
  • Center for Theoretical Physics, Polish Academy of Sciences, al. Lotniköw 32/46, 02-668 Warsaw, Poland
References
  • 1. S.N. Bose, Z. Phys., 26, 178, 1924
  • 2. A. Einstein, Sitzber. Kgl. Preuss. Akad. Wiss., 22, 261, 1924
  • 3. S. Chu, Rev. Mod. Phys., 70, 685, 1998; C. Cohen-Tannoudji, Rev. Mod. Phys., 70, 707, 1998; W.D. Phillips, Rev. Mod. Phys., 70, 721, 1998
  • 4. M.H. Anderson, J.H. Ensher, M.R. Mattews, C.E. Wieman, E.A. Cornell, Science, 269, 198, 1995
  • 5. K.B. Davies, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle, Phys. Rev. Lett., 75, 3969, 1995
  • 6. K. Huang, Statistical Mechanics, Wiley, New York 1963
  • 7. E. Schrodinger, Statistical Thermodynamics, Dover Publ., New York 1989; I. Fujiwara, D. ter Haar, H. Wergeland, J. Stat. Phys., 2, 329, 1970
  • 8. H.D. Politzer, Phys. Rev. A, 54, 5048, 1996
  • 9. P. Navez, D. Bitouk, M. Gajda, Z. Idziaszek, K. Rzążewski, Phys. Rev. Lett., 79, 1789, 1997
  • 10. M. Gajda, K. Rzążewski, Phys. Rev. Lett., 78, 2686, 1997
  • 11. M. Gajda, Z. Idziaszek, K. Rzążewski, P. Navez, Mol. Phys. Rep. Supplement, 1, 46, 2001
  • 12. M. Abramovitz, I.A. Stegun, Handbook of Mathematical Functions, Dover Publ., New York 1970
  • 13. S. Giorgini, L.P. Pitaevskii, S. Stringari, Phys. Rev. Lett., 80, 5040, 1998
  • 14. Z. Idziaszek, M. Gajda, P. Navez, M. Wilkens, K. Rzążewski, Phys. Rev. Lett., 82, 4376, 1999
  • 15. F. Meier, W. Zwerger, Phys. Rev. A, 60, 5133, 1999
  • 16. V.V. Kocharovsky, V.V. Kocharovsky, M.O. Scully, Phys. Rev. Lett., 84, 2306, 2000
  • 17. J. R. Enscher, D.S. Jin, M.R. Matthews, C.E. Wieman, E.A. Cornell, Phys. Rev. Lett., 77, 4984, 1996; M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.M. Kurn, D.S. Durfee, W. Ketterle, ibid., 77, 416, 1996
  • 18. E.A. Burt, R.W. Ghrist, C.J. Myatt, M.J. Holland, E.A. Cornell, C.E. Wieman, Phys. Rev. Lett., 79, 337, 1997; D.M. Stamper-Kurn, H.-J. Miesner, S. Inouye, M.R. Andrews, W. Ketterle, ibid., 81, 500 , 98; similar methods have been used to detect the phase transition in 2D spin polarized hydrogen gas: A.I. Safonov, S.A. Vasilyev, I.S. Yasnikov, I. Lukashevich, S. Jaakkola, ibid., 81, 4545, 1998
  • 19. N.N. Bogolyubov, J. Phys. (Moscow), 11, 231, 1947
  • 20. Z. Idziaszek, K. Rzążewski, M. Lewenstein, Phys. Rev. A, 61, 053608, 2000
  • 21. O. Penrose, Philos. Mag., 42, 1373, 1951
  • 22. O. Penrose, L. Onsager, Phys. Rev. Lett., 104, 576, 1956
  • 23. C.N. Yang, Rev. Mod. Phys., 34, 694, 1962
  • 24. M. Załuska-Kotur, M. Gajda, A. Orłowski, J. Mostowski, Phys. Rev. A, 61, 033631, 2000
  • 25. R.J. Glauber, in: Quantum Optics and Electronics, Eds. C. De Witt, A. Blandin, C. Cohen-Tannoudji, Gordon and Breach, New York 1965, p. 63; Phys. Rev., 130, 2529, 1963; Phys. Rev., 131, 2766, 1963
  • 26. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys., 71, 463, 1999; A.J. Leggett, Rev. Mod. Phys., 73, 307, 2001
  • 27. For an overview of atom interferometry see Atom Interferometry, Ed. P. Berman, Academic, San Diego 1997, and references therein
  • 28. M. Gajda, M. Załuska-Kotur, J. Mostowski, J. Phys. B, At. Mol. Opt. Phys., 71, 4003, 2000
  • 29. M. Gajda, M. Załuska-Kotur, J. Mostowski, Opt. Express, 8, 106, 2000
  • 30. C.W. Gardiner, P. Zoller, Phys. Rev. A, 55, 2902, 1997; D. Jaksch, C.W. Gardiner, P. Zoller, Phys. Rev. A, 56, 575, 1997
  • 31. R. Walser, J. Williams, J. Cooper, M. Holland, Phys. Rev. A, 59, 3878, 1999
  • 32. K. Góral, M. Gajda, K. Rzążewski, Phys. Rev. Lett., 86, 1397, 2001
  • 33. K. Góral, M. Gajda, K. Rzążewski, Opt. Express, 8, 92, 2000
  • 34. M.J. Davis, S.A. Morgan, K. Burnett, Phys. Rev. Lett., 87, 160402, 2001
  • 35. F.M. Izrailev, B.V. Chirikov, Dokl. Akad. Nauk SSSR, 166, 57, 1966, [Sov. Phys. Dokl., 11, 30, 1966]
  • 36. K. Góral, M. Gajda, K. Rzążewski, in preparation
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv100n707kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.