Microcanonical fluctuations of the condensate in weakly interacting Bose gases

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 71, Issue 5, 2005, Pages

  Idziaszek, Zbigniew ^a,b  

^a INFM   (Italy)

^b CENTER FOR THEORETICAL PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

BOGOLIUBOV THEORY; CONDENSATE FLUCTUATIONS; NONCONSERVING THEORY; PARTICLE-NUMBER-CONSERVING FORMULATION;

HARMONIC ANALYSIS; PARAMETER ESTIMATION; QUANTUM THEORY; TEMPERATURE MEASUREMENT; THERMODYNAMICS;

HIGH ENERGY PHYSICS;

EID: 26944489649     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.053604     Document Type: Article

References (38)

1. For review, see special issue Nature Insight: Ultracold Matter, Nature (London) NATUAS 0028-0836 10.1038/416205a 416, 205 (2002).
2. H. D. Politzer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.5048 54, 5048 (1996).
3. M. Gajda and K. Rzaewski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2686 78, 2686 (1997).
4. P. Navez, D. Bitouk, M. Gajda, Z. Idziaszek, and K. Rzewski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.1789 79, 1789 (1997).
5. S. Grossmann and M. Holthaus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3557 79, 3557 (1997).
6. C. Weiss and M. Wilkens, Opt. Express OPEXFF 1094-4087 1, 272 (1997).
7. S. Grossmann and M. Holthaus, Opt. Express OPEXFF 1094-4087 1, 262 (1997).
8. M. Holthaus, E. Kalinovski, and K. Kirsten, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1006/aphy.1998.5852 270, 198 (1998).
9. H.-J. Schmidt and J. Schnack, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00288-X 260, 479 (1998).
10. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5040 80, 5040 (1998).
11. F. Illuminati, P. Navez, and M. Wilkens, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/32/15/108 32, L461 (1999).
12. Z. Idziaszek, M. Gajda, P. Navez, M. Wilkens, and K. Rzewski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.4376 82, 4376 (1999).
13. F. Meier and W. Zwerger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.5133 60, 5133 (1999).
14. V. V. Kocharovsky, Vl. V. Kocharovsky, and M. O. Scully, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2306 84, 2306 (2000);
15. V. V. Kocharovsky, Vl. V. Kocharovsky, and M. O. Scully, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.053606 61, 053606 (2000).
16. H. Xiong, S. Liu, G. Huang, Z. Xu, and C. Zhang, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/34/21/310 34, 4203 (2001);
17. H. Xiong, S. Liu, G. Huang, and Z. Xu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.033609 65, 033609 (2002).
18. R. K. Bhaduri, M. V. N. Murthy, and M. N. Tran, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/12/316 35, 2817 (2002).
19. V. I. Yukalov, Laser Phys. Lett. LPLABC 1612-2011 1, 435 (2004).
20. I. Carusotto and Y. Castin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.030401 90, 030401 (2003).
21. N. Bogoliubov, J. Phys. (USSR) JOPYA6 0368-3400 11, 23 (1947).
22. Z. Idziaszek, K. Rzewski, and M. Lewenstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.053608 61, 053608 (2000).
23. M. Girardeau and R. Arnowitt, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.113.755 113, 755 (1959);
24. M. D. Girardeau, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.775 58, 775 (1998).
25. C. W. Gardiner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.1414 56, 1414 (1997).
26. Y. Castin and R. Dum, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57. 3008 57, 3008 (1998).
27. A. Erdélyi, W. Magnus, F. Oberthaller, and F. G. Tricomi, Higher Transcendental Funtions (McGraw-Hill, New York, 1955), Vol. III.
28. E. H. Hauge, Phys. Norv. PHNOAH 0031-8930 4, 19 (1969);
29. R. M. Ziff, G. E. Uhlenbeck, and M. Kac, Phys. Rep., Phys. Lett. PRPLCM 0370-1573 10.1016/0370-1573(77)90052-7 32, 169 (1977).
30. V. N. Popov, Functional Integrals and Collective Modes (Cambridge University Press, New York, 1987).
31. For asymptotic expansions of the Hurwitz zeta function see, for example, E. Elizalde, S. D. Odintsov, A. Romeo, A. A. Bytsenko, and S. Zerbini, Zeta Regularization Techniques with Applications (World Scientific, Singapore, 1994). Asymptotic expansion of s1(η) can be found by means of the technique described in Appendix.
32. M. Gajda, Z. Idziaszek, K. Rzewski, and P. Navez, Mol. Phys. Rep. MPREFZ 1505-1250, Supplemment 1, 46 (2001).
33. P. Ahberg, E. L. Surkov, I. Tittonen, S. Stenholm, M. Wilkens, and G. V. Shlyapnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.R3346 56, R3346 (1997).
34. S. Stringari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 2360 77, 2360 (1996).
35. S. Giorgini, L. P. Pitaevskii, and S. Stringari, J. Low Temp. Phys. JLTPAC 0022-2291 109, 309 (1997).
36. E. Elizalde, K. Kirsten, and S. Zerbini, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/28/3/016 28, 617 (1995).
37. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series (Gordon and Breach, New York, 1986), Vol. II.
38. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965).