Probing the statistical properties of Bose-Einstein condensates with light

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 61, Issue 5, 2000, Pages 536081-536087

  Idziaszek, Zbigniew ^a,b   Rza̧tzewski, Kazimierz ^a   Lewenstein, Maciej ^b  

^a POLISH ACADEMY OF SCIENCES   (Poland)

^b LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347741588     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (38)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995).
2. 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).
3. C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995); 79, 1170 (1997).
4. C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995); 79, 1170 (1997).
5. Extentive list of references can be found at the BEC Web page, URL http://amo.phy.gasou.edu/bec.html/bibliography.html
6. See, for instance, F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
7. H. D. Politzer, Phys. Rev. A 54, 5048 (1996); S. Grossman and M. Holthaus, Phys. Rev. E 54, 3495 (1996); M. Gajda and K. Rza̧zewski, Phys. Rev. Lett. 78, 2686 (1997); M. Wilkens and C. Weiss, J. Mod. Opt. 44, 1801 (1997); P. Navez, D. Bitouk, M. Gajda, Z. Idziaszek, and K. Rzazewski, Phys. Rev. Lett. 79, 1789 (1997); S. Grossman and M. Holthaus, Opt. Express 1, 262 (1997); C. Weiss and M. Wilkens, ibid. 1, 272 (1997): M. Holthaus, E. Kalinowski, and K. Kirsten, Ann. Phys. (N.Y.) 270, 198 (1998).
8. H. D. Politzer, Phys. Rev. A 54, 5048 (1996); S. Grossman and M. Holthaus, Phys. Rev. E 54, 3495 (1996); M. Gajda and K. Rza̧zewski, Phys. Rev. Lett. 78, 2686 (1997); M. Wilkens and C. Weiss, J. Mod. Opt. 44, 1801 (1997); P. Navez, D. Bitouk, M. Gajda, Z. Idziaszek, and K. Rzazewski, Phys. Rev. Lett. 79, 1789 (1997); S. Grossman and M. Holthaus, Opt. Express 1, 262 (1997); C. Weiss and M. Wilkens, ibid. 1, 272 (1997): M. Holthaus, E. Kalinowski, and K. Kirsten, Ann. Phys. (N.Y.) 270, 198 (1998).
9. H. D. Politzer, Phys. Rev. A 54, 5048 (1996); S. Grossman and M. Holthaus, Phys. Rev. E 54, 3495 (1996); M. Gajda and K. Rza̧zewski, Phys. Rev. Lett. 78, 2686 (1997); M. Wilkens and C. Weiss, J. Mod. Opt. 44, 1801 (1997); P. Navez, D. Bitouk, M. Gajda, Z. Idziaszek, and K. Rzazewski, Phys. Rev. Lett. 79, 1789 (1997); S. Grossman and M. Holthaus, Opt. Express 1, 262 (1997); C. Weiss and M. Wilkens, ibid. 1, 272 (1997): M. Holthaus, E. Kalinowski, and K. Kirsten, Ann. Phys. (N.Y.) 270, 198 (1998).
10. H. D. Politzer, Phys. Rev. A 54, 5048 (1996); S. Grossman and M. Holthaus, Phys. Rev. E 54, 3495 (1996); M. Gajda and K. Rza̧zewski, Phys. Rev. Lett. 78, 2686 (1997); M. Wilkens and C. Weiss, J. Mod. Opt. 44, 1801 (1997); P. Navez, D. Bitouk, M. Gajda, Z. Idziaszek, and K. Rzazewski, Phys. Rev. Lett. 79, 1789 (1997); S. Grossman and M. Holthaus, Opt. Express 1, 262 (1997); C. Weiss and M. Wilkens, ibid. 1, 272 (1997): M. Holthaus, E. Kalinowski, and K. Kirsten, Ann. Phys. (N.Y.) 270, 198 (1998).
11. H. D. Politzer, Phys. Rev. A 54, 5048 (1996); S. Grossman and M. Holthaus, Phys. Rev. E 54, 3495 (1996); M. Gajda and K. Rza̧zewski, Phys. Rev. Lett. 78, 2686 (1997); M. Wilkens and C. Weiss, J. Mod. Opt. 44, 1801 (1997); P. Navez, D. Bitouk, M. Gajda, Z. Idziaszek, and K. Rzazewski, Phys. Rev. Lett. 79, 1789 (1997); S. Grossman and M. Holthaus, Opt. Express 1, 262 (1997); C. Weiss and M. Wilkens, ibid. 1, 272 (1997): M. Holthaus, E. Kalinowski, and K. Kirsten, Ann. Phys. (N.Y.) 270, 198 (1998).
12. H. D. Politzer, Phys. Rev. A 54, 5048 (1996); S. Grossman and M. Holthaus, Phys. Rev. E 54, 3495 (1996); M. Gajda and K. Rza̧zewski, Phys. Rev. Lett. 78, 2686 (1997); M. Wilkens and C. Weiss, J. Mod. Opt. 44, 1801 (1997); P. Navez, D. Bitouk, M. Gajda, Z. Idziaszek, and K. Rzazewski, Phys. Rev. Lett. 79, 1789 (1997); S. Grossman and M. Holthaus, Opt. Express 1, 262 (1997); C. Weiss and M. Wilkens, ibid. 1, 272 (1997): M. Holthaus, E. Kalinowski, and K. Kirsten, Ann. Phys. (N.Y.) 270, 198 (1998).
13. H. D. Politzer, Phys. Rev. A 54, 5048 (1996); S. Grossman and M. Holthaus, Phys. Rev. E 54, 3495 (1996); M. Gajda and K. Rza̧zewski, Phys. Rev. Lett. 78, 2686 (1997); M. Wilkens and C. Weiss, J. Mod. Opt. 44, 1801 (1997); P. Navez, D. Bitouk, M. Gajda, Z. Idziaszek, and K. Rzazewski, Phys. Rev. Lett. 79, 1789 (1997); S. Grossman and M. Holthaus, Opt. Express 1, 262 (1997); C. Weiss and M. Wilkens, ibid. 1, 272 (1997): M. Holthaus, E. Kalinowski, and K. Kirsten, Ann. Phys. (N.Y.) 270, 198 (1998).
14. H. D. Politzer, Phys. Rev. A 54, 5048 (1996); S. Grossman and M. Holthaus, Phys. Rev. E 54, 3495 (1996); M. Gajda and K. Rza̧zewski, Phys. Rev. Lett. 78, 2686 (1997); M. Wilkens and C. Weiss, J. Mod. Opt. 44, 1801 (1997); P. Navez, D. Bitouk, M. Gajda, Z. Idziaszek, and K. Rzazewski, Phys. Rev. Lett. 79, 1789 (1997); S. Grossman and M. Holthaus, Opt. Express 1, 262 (1997); C. Weiss and M. Wilkens, ibid. 1, 272 (1997): M. Holthaus, E. Kalinowski, and K. Kirsten, Ann. Phys. (N.Y.) 270, 198 (1998).
15. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. Lett. 80, 5040 (1998); Z. Idziaszek, M. Gajda, P. Navez, M. Wilkens, and K. Rza̧zewski, ibid. 82, 4376 (1999).
16. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. Lett. 80, 5040 (1998); Z. Idziaszek, M. Gajda, P. Navez, M. Wilkens, and K. Rza̧zewski, ibid. 82, 4376 (1999).
17. See for instance, M. Holzmann and W. Krauth, Phys. Rev. Lett. 83, 2687 (1999); K. Huang, ibid. 83, 3770 (1999).
18. See for instance, M. Holzmann and W. Krauth, Phys. Rev. Lett. 83, 2687 (1999); K. Huang, ibid. 83, 3770 (1999).
19. J. R. Enscher, D. S. Jin, M. R. Matthews, C. E. Wieman, and 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, and W. Ketterle, ibid. 77, 416 (1996).
20. J. R. Enscher, D. S. Jin, M. R. Matthews, C. E. Wieman, and 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, and W. Ketterle, ibid. 77, 416 (1996).
21. Yu. Kagan, B. V. Svistunov, and G. V. Shlyapnikov, JETP Lett. 42, 209 (1985).
22. E. A. Burt, R. W. Christ, C. J. Myatt, M. J. Holland, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. 79, 337 (1997); D. M. Stamper-Kurn, H.-J. Miesner, S. Inouye, M. R. Andrews, and W. Ketterle, ibid. 81, 500 (1998); similar methods has been used to detect the phase transition in 2D spin polarized hydrogen gas: A. I. Safonov, S. A. Vasilyev, I. S. Yasnikov, I. I. Lukashevich, and S. Jaakkola, ibid 81, 4545 (1998).
23. E. A. Burt, R. W. Christ, C. J. Myatt, M. J. Holland, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. 79, 337 (1997); D. M. Stamper-Kurn, H.-J. Miesner, S. Inouye, M. R. Andrews, and W. Ketterle, ibid. 81, 500 (1998); similar methods has been used to detect the phase transition in 2D spin polarized hydrogen gas: A. I. Safonov, S. A. Vasilyev, I. S. Yasnikov, I. I. Lukashevich, and S. Jaakkola, ibid 81, 4545 (1998).
24. E. A. Burt, R. W. Christ, C. J. Myatt, M. J. Holland, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. 79, 337 (1997); D. M. Stamper-Kurn, H.-J. Miesner, S. Inouye, M. R. Andrews, and W. Ketterle, ibid. 81, 500 (1998); similar methods has been used to detect the phase transition in 2D spin polarized hydrogen gas: A. I. Safonov, S. A. Vasilyev, I. S. Yasnikov, I. I. Lukashevich, and S. Jaakkola, ibid 81, 4545 (1998).
25. N. N. Bogolyubov, J. Phys. (Moscow) 11, 231 (1947).
26. B. Svistunov and G. Shlyapnikov, Zh. Éksp. Teor. Fiz. 97, 821 (1990) [Sov. Phys. JETP 70, 460 (1990)]; ibid. 98, 129 (1990) [71, 71 (1990)]; H. D. Politzer, Phys. Rev. A 43, 6444 (1991); J. Javanainen, Phys. Rev. Lett. 72, 2375 (1994); O. Morice, Y. Castin, and J. Dalibard, Phys. Rev. A 51, 3896 (1995); W. Zhang and D. F. Walls, ibid. 49, 3799 (1994): J. Javanainen and J. Ruostekoski, ibid. 52, 3033 (1995).
27. B. Svistunov and G. Shlyapnikov, Zh. Éksp. Teor. Fiz. 97, 821 (1990) [Sov. Phys. JETP 70, 460 (1990)]; ibid. 98, 129 (1990) [71, 71 (1990)]; H. D. Politzer, Phys. Rev. A 43, 6444 (1991); J. Javanainen, Phys. Rev. Lett. 72, 2375 (1994); O. Morice, Y. Castin, and J. Dalibard, Phys. Rev. A 51, 3896 (1995); W. Zhang and D. F. Walls, ibid. 49, 3799 (1994): J. Javanainen and J. Ruostekoski, ibid. 52, 3033 (1995).
28. B. Svistunov and G. Shlyapnikov, Zh. Éksp. Teor. Fiz. 97, 821 (1990) [Sov. Phys. JETP 70, 460 (1990)]; ibid. 98, 129 (1990) [71, 71 (1990)]; H. D. Politzer, Phys. Rev. A 43, 6444 (1991); J. Javanainen, Phys. Rev. Lett. 72, 2375 (1994); O. Morice, Y. Castin, and J. Dalibard, Phys. Rev. A 51, 3896 (1995); W. Zhang and D. F. Walls, ibid. 49, 3799 (1994): J. Javanainen and J. Ruostekoski, ibid. 52, 3033 (1995).
29. B. Svistunov and G. Shlyapnikov, Zh. Éksp. Teor. Fiz. 97, 821 (1990) [Sov. Phys. JETP 70, 460 (1990)]; ibid. 98, 129 (1990) [71, 71 (1990)]; H. D. Politzer, Phys. Rev. A 43, 6444 (1991); J. Javanainen, Phys. Rev. Lett. 72, 2375 (1994); O. Morice, Y. Castin, and J. Dalibard, Phys. Rev. A 51, 3896 (1995); W. Zhang and D. F. Walls, ibid. 49, 3799 (1994): J. Javanainen and J. Ruostekoski, ibid. 52, 3033 (1995).
30. B. Svistunov and G. Shlyapnikov, Zh. Éksp. Teor. Fiz. 97, 821 (1990) [Sov. Phys. JETP 70, 460 (1990)]; ibid. 98, 129 (1990) [71, 71 (1990)]; H. D. Politzer, Phys. Rev. A 43, 6444 (1991); J. Javanainen, Phys. Rev. Lett. 72, 2375 (1994); O. Morice, Y. Castin, and J. Dalibard, Phys. Rev. A 51, 3896 (1995); W. Zhang and D. F. Walls, ibid. 49, 3799 (1994): J. Javanainen and J. Ruostekoski, ibid. 52, 3033 (1995).
31. B. Svistunov and G. Shlyapnikov, Zh. Éksp. Teor. Fiz. 97, 821 (1990) [Sov. Phys. JETP 70, 460 (1990)]; ibid. 98, 129 (1990) [71, 71 (1990)]; H. D. Politzer, Phys. Rev. A 43, 6444 (1991); J. Javanainen, Phys. Rev. Lett. 72, 2375 (1994); O. Morice, Y. Castin, and J. Dalibard, Phys. Rev. A 51, 3896 (1995); W. Zhang and D. F. Walls, ibid. 49, 3799 (1994): J. Javanainen and J. Ruostekoski, ibid. 52, 3033 (1995).
32. B. Svistunov and G. Shlyapnikov, Zh. Éksp. Teor. Fiz. 97, 821 (1990) [Sov. Phys. JETP 70, 460 (1990)]; ibid. 98, 129 (1990) [71, 71 (1990)]; H. D. Politzer, Phys. Rev. A 43, 6444 (1991); J. Javanainen, Phys. Rev. Lett. 72, 2375 (1994); O. Morice, Y. Castin, and J. Dalibard, Phys. Rev. A 51, 3896 (1995); W. Zhang and D. F. Walls, ibid. 49, 3799 (1994): J. Javanainen and J. Ruostekoski, ibid. 52, 3033 (1995).
33. B. Svistunov and G. Shlyapnikov, Zh. Éksp. Teor. Fiz. 97, 821 (1990) [Sov. Phys. JETP 70, 460 (1990)]; ibid. 98, 129 (1990) [71, 71 (1990)]; H. D. Politzer, Phys. Rev. A 43, 6444 (1991); J. Javanainen, Phys. Rev. Lett. 72, 2375 (1994); O. Morice, Y. Castin, and J. Dalibard, Phys. Rev. A 51, 3896 (1995); W. Zhang and D. F. Walls, ibid. 49, 3799 (1994): J. Javanainen and J. Ruostekoski, ibid. 52, 3033 (1995).
34. B. Svistunov and G. Shlyapnikov, Zh. Éksp. Teor. Fiz. 97, 821 (1990) [Sov. Phys. JETP 70, 460 (1990)]; ibid. 98, 129 (1990) [71, 71 (1990)]; H. D. Politzer, Phys. Rev. A 43, 6444 (1991); J. Javanainen, Phys. Rev. Lett. 72, 2375 (1994); O. Morice, Y. Castin, and J. Dalibard, Phys. Rev. A 51, 3896 (1995); W. Zhang and D. F. Walls, ibid. 49, 3799 (1994): J. Javanainen and J. Ruostekoski, ibid. 52, 3033 (1995).
35. L. You, M. Lewenstein, and J. Cooper, Phys. Rev. A 51, 4712 (1995).
36. T. Wong, L. You, and M. Lewenstein, e-print quant-ph/9910054.
37. M. Andrews, M.-O. Mewes, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Science 273, 84 (1996).
38. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals Series and Products (Academic Press, New York, 1965).