Classical fields approximation for bosons at nonzero temperatures

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 40, Issue 2, 2007, Pages

  Brewczyk, Mirosław ^a   Gajda, Mariusz ^b   Rzaewski, Kazimierz ^c  

^a UNIVERSITY OF BIALYSTOK   (Poland)

^b INSTITUTE OF PHYSICS   (Poland)

^c CENTER FOR THEORETICAL PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; BOSE-EINSTEIN CONDENSATION; BOSONS; TEMPERATURE MEASUREMENT;

ATOMIC CONDENSATES; CLASSICAL FIELD APPROXIMATION; CLASSICAL WAVES; NONZERO TEMPERATURES;

APPROXIMATION THEORY;

EID: 33947588127     PISSN: 09534075     EISSN: 13616455     Source Type: Journal    
DOI: 10.1088/0953-4075/40/2/R01     Document Type: Article

References (96)

1. Bose S N 1924 Z. Phys. 26 178
2. Einstein A 1924 Sitzber. Kgl. Preuss. Akad. Wiss. 22 261
3. Anderson M H, Ensher J H, Mattews M R, Wieman C E and Cornell E A 1995 Science 269 198
4. Davies K B, Mewes M-O, Andrews M R, van Druten N J, Durfee D S, Kurn D M and Ketterle W 1995 Phys. Rev. Lett. 75 3969
5. Schrödinger E 1989 Statistical Thermodynamics (New York: Dover)
6. Fujiwara I, ter Haar D and Wergeland H 1970 J. Stat. Phys. 2 329
7. Navez P, Bitouk D, Gajda M, Idziaszek Z and Rzaewski K 1997 Phys. Rev. Lett. 79 1789
8. Pitaevskii L P 1961 Zh. Eksp. Teor. Fiz. 40 646
9. Gross E P 1961 Nuovo Cimento 20 454
10. Bogoliubov N N 1947 J. Phys. Moscow 11 231
11. Girardeau M and Arnowitt R 1959 Phys. Rev. 113 755
12. Gardiner C W 1997 Phys. Rev. A 56 1414
13. See for instance: Holland M, Burnett K, Gardiner C W, Cirac J I and Zoller P 1996 Phys. Rev. A 54 R1757
14. Gardiner C W and Zoller P 1997 Phys. Rev. A 55 2902
15. Jaksch D, Gardiner C W and Zoller P 1997 Phys. Rev. A 56 575
16. Walser R, Williams J, Cooper J and Holland M 1999 Phys. Rev. A 59 3878
17. Drummond P D and Corney J F 1999 Phys. Rev. A 60 R2661
18. Carusotto I and Castin Y 2001 J. Phys. B: At. Mol. Opt. Phys. 34 4583
19. See for instance: Jackson B and Zaremba E 2002 Phys. Rev. A 66 033606
20. Davis M J and Blakie P B 2005 J. Phys. A: Math. Gen. 38 10259
21. Svistunov B V 1991 J. Mosc. Phys. Soc. 1 373
22. Kagan Yu, Svistunov B V and Shlyapnikov G V 1992 Zh. Eksp. Teor. Fiz. 101 528
23. Kagan Yu, Svistunov B V and Shlyapnikov G V 1992 Sov. Phys.-JETP 75 387
24. Kagan Yu and Svistunov B V 1997 Phys. Rev. Lett. 79 3331
25. Davis M J, Morgan S A and Burnett K 2001 Phys. Rev. Lett. 87 160402
26. Góral K, Gajda M and Rzaewski K 2001 Opt. Express 10 92
27. Bradley A S, Blakie P B and Gardiner C W 2005 J. Phys. B: At. Mol. Opt. Phys. 38 4259
28. Sinatra A, Lobo C and Castin Y 2001 Phys. Rev. Lett. 87 210404
29. Sinatra A, Lobo C and Castin Y 2002 J. Phys. B: At. Mol. Opt. Phys. 35 3599
30. Connaughton C, Josserand C, Picozzi A, Pomeau Y and Rica S 2005 Phys. Rev. Lett. 95 263901
31. Penrose O 1951 Phil. Mag. 42 1373
32. Penrose O and Onsager L 1956 Phys. Rev. Lett. 104 576
33. Izrailev F M and Chirikov B V 1966 Dokl. Akad. Nauk SSSR 166 57
34. Izrailev F M and Chirikov B V 1966 Sov. Phys. Dokl. 11 30
35. Góral K, Gajda M and Rzaewski K 2002 Phys. Rev. A 66 051602 (R)
36. Davis M J, Morgan S A and Burnett K 2002 Phys. Rev. A 66 053618
37. Brewczyk M, Borowski P, Gajda M and Rzaewski K 2004 J. Phys. B: At. Mol. Opt. Phys. 37 2725
38. Schmidt H, Góral K, Floegel F, Gajda M and Rzaewski K 2003 J. Opt. B: Quantum Semiclass. Opt. 5 S96
39. See, for example Pethick C and Smith H 2002 Bose-Einstein Condensation in Diluted Gases (New York: Cambridge University Press)
40. Davis M J and Morgan S A 2003 Phys. Rev. A 68 053615
41. Rugh H H 1997 Phys. Rev. Lett. 78 772
42. Fedichev P O, Shlyapnikov G V and Walraven T J 1998 Phys. Rev. Lett. 80 2269
43. Fedichev P O and Shlyapnikov G V 1998 Phys. Rev. A 58 3146
44. Witkowska E, Gajda M and Mostowski J to be published
45. Huang K 1999 Phys. Rev. Lett. 83 3770
46. Zawitkowski Ł, Brewczyk M, Gajda M and Rzaewski K 2004 Phys. Rev. A 70 033614
47. Wynar R, Freeland R S, Han D J, Ryu C and Heinzen D J 2000 Science 287 1016
48. Jochim S, Bartenstein M, Altmeyer A, Hendl G, Riedl S, Chin C, Denschlag J H and Grimm R 2003 Science 302 2101
49. Greiner M, Regal C A and Jin D S 2003 Nature 426 537
50. Zwierlein M W, Stan C A, Schunck C H, Raupach S M F, Gupta S, Hadzibabic Z and Ketterle W 2003 Phys. Rev. Lett. 91 250401
51. Góral K, Gajda M and Rzaewski K 2001 Phys. Rev. Lett. 86 1397
52. Matthews M R, Anderson B P, Haljan P C, Hall D S, Wieman C E and Cornell E A 1999 Phys. Rev. Lett. 83 2498
53. Madison K W, Chevy F, Wohlleben W and Dalibard J 2000 Phys. Rev. Lett. 84 806
54. Abo-Shaeer J R, Raman C, Vogels J M and Ketterle W 2001 Science 292 476
55. Onsager L 1949 Nuovo Cimento 6 249
56. Feynman R P 1955 Progress in Low Temperature Physics vol 1 ed C J Gorter (Amsterdam: North-Holland)
57. Chevy F, Madison K W, Bretin V and Dalibard J 2001 Phys. Rev. A 64 031601
58. Anderson B P, Haljan P C, Wieman C E and Cornell E A 2000 Phys. Rev. Lett. 85 2857
59. Abo-Shaeer J R, Raman C and Ketterle W 2002 Phys. Rev. Lett. 88 070409
60. Dobrek Ł, Gajda M, Lewenstein M, Sengstock K, Birkl G and Ertmer W 1999 Phys. Rev. A 60 R3381
61. Fedichev P O and Shlyapnikov G V 1999 Phys. Rev. A 60 R1779
62. Leanhardt A E, Görlitz A, Chikkatur A P, Kielpinski D, Shin Y, Pritchard D E and Ketterle W 2002 Phys. Rev. Lett. 89 190403
63. Shin Y, Saba M, Vengalattore M, Pasquini T A, Sanner C, Leanhardt A E, Prentiss M, Pritchard D E and Ketterle W 2004 Phys. Rev. Lett. 93 160406
64. Isoshima T, Nakahara M, Ohmi T and Machida K 2000 Phys. Rev. A 61 063610
65. Ogawa S-I, Möttönen M, Nakahara M, Ohmi T and Shimada H 2002 Phys. Rev. A 66 013617
66. Gawryluk K, Brewczyk M and Rzaewski K 2006 J. Phys. B: At. Mol. Opt. Phys. 39 L225
67. Andrews M R, Townsend C G, Miesner H-J, Durfee D S, Kurn D M and Ketterle W 1997 Science 275 637
68. Hagley E W et al 1999 Phys. Rev. Lett. 83 3112
69. Stenger J, Chikkatur A P, Stamper-Kurn D M, Pritchard D E and Ketterle W 1999 Phys. Rev. Lett. 82 4569
70. Petrov D S, Shlyapnikov G V and Walraven J T M 2000 Phys. Rev. Lett. 85 3745
71. Petrov D S, Shlyapnikov G V and Walraven J T M 2001 Phys. Rev. Lett. 87 050404
72. Dettmer S et al 2001 Phys. Rev. Lett. 87 160406
73. Richard S, Gerbier F, Thywissen J H, Hugbart M, Bouyer P and Aspect A 2003 Phys. Rev. Lett. 91 010405
74. Hellweg D, Cacciapuoti L, Kottke M, Schulte T, Sengstock K, Ertmer W and Arlt J J 2003 Phys. Rev. Lett. 91 010406
75. Kadio D, Gajda M and Rzaewski K 2005 Phys. Rev. A 72 013607
76. Ketterle W and van Druten N J 1996 Phys. Rev. A 54 656
77. Hodby E, Hechenblaikner G, Hopkins S A, Maragò O M and Foot C J 2002 Phys. Rev. Lett. 88 010405
78. Raman C, Köhl M, Onofrio R, Durfee D S, Kuklewicz C E, Hadzibabic Z and Ketterle W 1999 Phys. Rev. Lett. 83 2502
79. Maragò O M, Hopkins S A, Arlt J, Hodby E, Hechenblaikner G and Foot C J 2000 Phys. Rev. Lett. 84 2056
80. Pavloff N 2002 Phys. Rev. A 66 013610
81. Law C K, Chan C M, Leung P T and Chu M-C 2000 Phys. Rev. Lett. 85 1598
82. Ianesseli S, Menotti C and Smerzi A 2005 Preprint cond-mat/0509670
83. Winiecki T, Jackson B, McCann J F and Adams C S 2000 J. Phys. B: At. Mol. Opt. Phys. 33 4069
84. Fedichev P O and Shlyapnikov G V 2001 Phys. Rev. A 63 045601
85. Jackson B, McCann J F and Adams C S 2000 Phys. Rev. A 61 051603 (R)
86. Frisch T, Pomeau Y and Rica S 1992 Phys. Rev. Lett. 69 1644
87. Astrakharchik G E and Pitaevskii L P 2004 Phys. Rev. A 70 013608
88. Chikkatur A P, Görlitz A, Stamper-Kurn D M, Inouye S, Gupta S and Ketterle W 2000 Phys. Rev. Lett. 85 483
89. Gupta S, Murch K W, Moore K L, Purdy T P and Stamper-Kurn D M 2005 Phys. Rev. Lett. 95 143201
90. Zawitkowski Ł, Gajda M and Rzaewski K 2006 Phys. Rev. A 74 043601
91. Ho T-L 1998 Phys. Rev. Lett. 81 742
92. van Kempen E G M, Kokkelmans S J J M F, Heinzen D J and Verhaar B J 2002 Phys. Rev. Lett. 88 093201
93. Erhard M, Schmaljohann H, Kronjäger J, Bongs K and Sengstock K 2004 Phys. Rev. A 70 031602
94. Schmaljohann H, Erhard M, Kronjäger J, Kottke M, van Staa S, Cacciapuoti L, Arlt J J, Bongs K and Sengstock K 2004 Phys. Rev. Lett. 92 040402
95. Gawryluk K, Brewczyk M, Gajda M and Rzaewski K in preparation
96. Morgan S A, Rusch M, Hutchinson D A and Burnett K 2003 Phys. Rev. Lett. 91 250403