Two-body anticorrelation in a harmonically trapped ideal Bose gas

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 86, Issue 2, 2012, Pages

  Wright, T M ^a   Perrin, A ^b,c   Bray, A ^a   Schmiedmayer, J ^d   Kheruntsyan, K V ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b CNRS   (France)

^c UNIVERSITÉ PARIS 13   (France)

^d TU WIEN   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC TRAPS; ANTICORRELATION; BOSE GAS; DENSITY FLUCTUATION; HARMONIC CONFINEMENT; IDEAL BOSE GAS; PHYSICAL MECHANISM; SECOND ORDER COHERENCE; SMALL PARTICLES;

MATHEMATICAL MODELS; PHYSICS;

BOSONS;

EID: 84865262763     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.86.023618     Document Type: Article

References (67)

1. M. Holthaus, E. Kalinowski, and K. Kirsten, Ann. Phys. (NY) APNYA6 0003-4916 10.1006/aphy.1998.5852 270, 198 (1998). (Pubitemid 128347624)
2. A. Einstein, Sitzungsberichte der Preussischen Akademie der Wissenschaften (I. Sitzung der physikalisch-mathematischen Klasse, Berlin, 1925), p. 3.
3. G. E. Uhlenbeck, Ph.D. thesis, Leiden University, 1927.
4. B. Kahn and G. E. Uhlenbeck, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/S0031-8914(38)80068-9 5, 399 (1938).
5. M. Fierz, Helv. Phys. Acta 29, 47 (1956).
6. I. Fujiwara, D. ter Haar, and H. Wergeland, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01020442 2, 329 (1970).
7. R. M. Ziff, G. E. Uhlenbeck, and M. Kac, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(77)90052-7 32, 169 (1977).
8. V. V. Kocharovsky, Adv. At. Mol. Opt. Phys. 1049-250X 10.1016/S1049-250X(06)53010-1 53, 291 (2006).
9. H. D. Politzer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.5048 54, 5048 (1996).
10. M. Wilkens and C. Weiss, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500349708231847 44, 1801 (1997).
11. C. Weiss and M. Wilkens, Opt. Express OPEXFF 1094-4087 10.1364/OE.1.000272 1, 272 (1997).
12. M. H. Anderson, Science SCIEAS 0036-8075 10.1126/science.269.5221.198 269, 198 (1995).
13. C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.1687 75, 1687 (1995).
14. 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. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3969 75, 3969 (1995).
15. S. Grossmann and M. Holthaus, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.54.3495 54, 3495 (1996).
16. M. Gajda and K. Rzewski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2686 78, 2686 (1997).
17. M. Yasuda and F. Shimizu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.3090 77, 3090 (1996).
18. D. Hellweg, L. Cacciapuoti, M. Kottke, T. Schulte, K. Sengstock, W. Ertmer, and J. J. Arlt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 91.010406 91, 010406 (2003).
19. M. Schellekens, Science SCIEAS 0036-8075 10.1126/science.1118024 310, 648 (2005). (Pubitemid 41528151)
20. A. Attl, S. Ritter, M. Köhl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.090404 95, 090404 (2005). (Pubitemid 41505858)
21. T. Jeltes, Nature (London) NATUAS 0028-0836 10.1038/nature05513 445, 402 (2007). (Pubitemid 46164743)
22. T. Rom, Nature (London) NATUAS 0028-0836 10.1038/nature05319 444, 733 (2006). (Pubitemid 44949598)
23. S. Manz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.031610 81, 031610 (2010).
24. R. G. Dall, Nature Commun. 2041-1723 10.1038/ncomms1292 2, 291 (2010).
25. S. S. Hodgman, Science SCIEAS 0036-8075 10.1126/science.1198481 331, 1046 (2011).
26. A. Perrin, Nature Phys. 1745-2473 10.1038/nphys2212 8, 195 (2012).
27. B. Laburthe Tolra, K. M. O'Hara, J. H. Huckans, W. D. Phillips, S. L. Rolston, and J. V. Porto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.190401 92, 190401 (2004).
28. T. Kinoshita, T. Wenger, and D. S. Weiss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.190406 95, 190406 (2005). (Pubitemid 41777183)
29. M. Greiner, C. A. Regal, J. T. Stewart, and D. S. Jin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.110401 94, 110401 (2005). (Pubitemid 40607089)
30. S. Fölling, Nature (London) NATUAS 0028-0836 10.1038/nature03500 434, 481 (2005). (Pubitemid 40480979)
31. A. Perrin, H. Chang, V. Krachmalnicoff, M. Schellekens, D. Boiron, A. Aspect, and C. I. Westbrook, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.150405 99, 150405 (2007). (Pubitemid 47575109)
32. R. Bücker, Nature Phys. 1745-2473 10.1038/nphys1992 7, 608 (2011).
33. M. Naraschewski and R. J. Glauber, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.4595 59, 4595 (1999).
34. J. Viana Gomes, A. Perrin, M. Schellekens, D. Boiron, C. I. Westbrook, and M. Belsley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053607 74, 053607 (2006). (Pubitemid 44707945)
35. R. Hanbury Brown and R. Q. Twiss, Nature (London) NATUAS 0028-0836 10.1038/177027a0 177, 27 (1956).
36. R. Hanbury Brown and R. Q. Twiss, Nature (London) NATUAS 0028-0836 10.1038/1781046a0 178, 1046 (1956).
37. G. Baym, Acta Phys. Pol. B 29, 1839 (1998).
38. E. A. Burt, R. W. Ghrist, C. J. Myatt, M. J. Holland, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.337 79, 337 (1997).
39. W. Ketterle and H.-J. Miesner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.3291 56, 3291 (1997).
40. A. G. Sykes, D. M. Gangardt, M. J. Davis, K. Viering, M. G. Raizen, and K. V. Kheruntsyan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100. 160406 100, 160406 (2008). (Pubitemid 351590595)
41. P. T. Landsberg, Thermodynamics-With Quantum Statistical Illustrations (Interscience Publishers, New York, 1961).
42. F. Brosens, J. T. Devreese, and L. F. Lemmens, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(96)00372-9 100, 123 (1996). (Pubitemid 126371730)
43. P. Borrmann and G. Franke, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.464180 98, 2484 (1997).
44. T. M. Wright (unpublished).
45. W. Ketterle and N. J. van Druten, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.656 54, 656 (1996).
46. L. Landau and E. M. Lifshitz, Statistical Physics (Butterworth, London, 1996).
47. D. F. Walls and G. J. Milburn, Quantum Optics, 2nd ed. (Springer, Berlin, 2008).
48. We note that the approach of using grand-canonical results for the ideal Bose gas and replacing g 0 (2) → 1 was used (implicitly) in an early calculation of the local second-order coherence of this system by Dodd.
49. R. Dodd, C. Clark, M. Edwards, and K. Burnett, Opt. Express OPEXFF 1094-4087 10.1364/OE.1.000284 1, 284 (1997).
50. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, UK, 2002).
51. T. M. Wright, N. P. Proukakis, and M. J. Davis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.023608 84, 023608 (2011).
52. We remind the reader that in the standard (grand-canonical) treatments of the ideal Bose gas, the transition to condensation is found to have a first-order character-see K. Huang, Statistical Mechanics, 2nd ed. (Wiley, New York, 1987).
53. B. Paredes, Nature (London) NATUAS 0028-0836 10.1038/nature02530 429, 277 (2004). (Pubitemid 38684809)
54. A. H. van Amerongen, J. J. P. van Es, P. Wicke, K. V. Kheruntsyan, and N. J. van Druten, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.090402 100, 090402 (2008). (Pubitemid 351399037)
55. J. Armijo, T. Jacqmin, K. Kheruntsyan, and I. Bouchoule, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.021605 83, 021605 (2011).
56. T. Jacqmin, J. Armijo, T. Berrada, K. V. Kheruntsyan, and I. Bouchoule, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.230405 106, 230405 (2011).
57. N. J. van Druten and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.549 79, 549 (1997).
58. S. Heller and W. T. Strunz, J. Phys. B: At. Mol. Opt. Phys. JPAPEH 0953-4075 10.1088/0953-4075/42/8/081001 42, 081001 (2009).
59. E. Altman, E. Demler, and M. D. Lukin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.013603 70, 013603 (2004).
60. I. Bouchoule, K. V. Kheruntsyan, and G. V. Shlyapnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.031606 75, 031606 (2007). (Pubitemid 46515034)
61. M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.938 81, 938 (1998).
62. C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.1225 82, 1225 (2010).
63. A. Imambekov, I. E. Mazets, D. S. Petrov, V. Gritsev, S. Manz, S. Hofferberth, T. Schumm, E. Demler, and J. Schmiedmayer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.033604 80, 033604 (2009).
64. J. Choi, S. W. Seo, W. J. Kwon, and Y. Shin, arXiv: 1206.2232.
65. D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3745 85, 3745 (2000). (Pubitemid 32027173)
66. D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.050404 87, 050404 (2001).
67. V. V. Goldman, I. F. Silvera, and A. J. Leggett, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.24.2870 24, 2870 (1981).