Properties of the stochastic Gross-Pitaevskii equation: Finite temperature Ehrenfest relations and the optimal plane wave representation

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 38, Issue 23, 2005, Pages 4259-4280

  Bradley, A S ^a,c   Blakie, P B ^b   Gardiner, C W ^a,b  

^a VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

^b UNIVERSITY OF OTAGO   (New Zealand)

^c UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ENERGY ABSORPTION; GAS CONDENSATES; NONLINEAR OPTICS; OSCILLATIONS; RANDOM PROCESSES; THERMAL EFFECTS;

BOSE GAS; EHRENFEST RELATIONS; GROSS-PITAEVSKII EQUATION; SINGLE PARTICLE SPECTRUM;

QUANTUM THEORY;

EID: 28344443972     PISSN: 09534075     EISSN: 13616455     Source Type: Journal    
DOI: 10.1088/0953-4075/38/23/008     Document Type: Article

References (56)

1. Pitaevskii L P 1961 Zh. Eksp. Teor. Fiz. 40 646
2. Gross E P 1961 Nuovo Cimento 20 454
3. Gross E P 1963 J. Math. Phys. 4 195
4. Dyachenko S, Newell A C, Pushkarev A and Zakharov V E 1992 Physica D 57 96
5. Semikoz D V and Tkachev I I 1995 Phys. Rev. Lett. 74 3093
6. Semikoz D V and Tkachev I I 1997 Phys. Rev. A 55 489
7. Khlebnikov S and Tkachev I 2000 Phys. Rev. A 61 083517
8. Svistunov B V 1992 J. Mosc. Phys. Soc. 75 387
9. Kagan Y M, Svistunov B V and Shlyapnikov G V 1992 Sov. Phys.-JETP 75 387
10. Gardiner C W and Zoller P 1997 Phys. Rev. A 55 2902
11. Jaksch D, Gardiner C W and Zoller P 1997 Phys. Rev. A 56 575
12. Gardiner C W, Zoller P, Ballagh R J and Davis M J 1997 Phys. Rev. Lett. 79 1793
13. Gardiner C W and Zoller P 1998 Phys. Rev. A 58 536
14. Jaksch D, Gardiner C W, Gheri K M and Zoller P 1998 Phys. Rev. A 58 1450
15. Gardiner C W et al 1998 Phys. Rev. Lett. 81 5266
16. Gardiner C W and Zoller P 2000 Phys. Rev. A 61 033601
17. Lee M D and Gardiner C W 2000 Phys. Rev. A 62 033606
18. Davis M J, Gardiner C W and Ballagh R J 2000 Phys. Rev. A 62 063608
19. Davis M J and Gardiner C W 2002 J. Phys. B: At. Mol. Opt. Phys. 35 733
20. Köhl M et al 2002 Phys. Rev. Lett. 88 080402
21. Davis M J, Ballagh R J and Burnett K 2001 J. Phys. B: At. Mol. Opt. Phys. 34 4487
22. Drummond P D and Gardiner C W 1980 J. Phys. A: Math. Gen. 13 2353
23. Steel M J et al 1998 Phys. Rev. A 58 4824
24. Drummond P D and Corney J F 1999 Phys. Rev. A 60 R2661
25. Deuar P and Drummond P D 2002 Phys. Rev. A 66 033812
26. Kagan Y and Svistunov B V 1997 Phys. Rev. Lett. 79 3331
27. Marshall R J, New G H C, Burnett K and Choi S 1999 Phys. Rev. A 59 2085
28. Stoof H T C 1999 J. Low Temp. Phys. 114 11
29. Stoof H T C and Bilsma M J 2001 J. Low Temp. Phys. 124 431
30. Góral K, Gajda M and Rza̧zewski K 2001 Phys. Rev. Lett. 86 1397
31. Góral K, Gajda M and Rza̧zewski K 2002 Phys. Rev. A 66 R051602
32. Schmidt H et al 2003 J. Phys. B: At. Mol. Opt. Phys. 5 S96
33. Zawitkowski L, Brewczyk M, Gajda M and Rza̧zewski K 2004 Phys. Rev. A 70 033614
34. Brewczyk M, Borowski P, Gajda M and Rza̧zewski K 2004 J. Phys. B: At. Mol. Opt. Phys. 37 2725
35. Davis M J, Morgan S A and Burnett K 2001 Phys. Rev. Lett. 87 160402
36. Davis M J, Morgan S A and Burnett K 2002 Phys. Rev. A 66 053618
37. Davis M J and Morgan S A 2003 Phys. Rev. A 68 053615
38. Gardiner C W, Anglin J R and Fudge T I A 2002 J. Phys. B: At. Mol. Opt. Phys. 35 1555
39. Gardiner C W and Davis M J 2003 J. Phys. B: At. Mol. Opt. Phys. 36 4731
40. Sinatra A, Castin Y and Lobo C 2000 J. Mod. Opt. 47 2629
41. Sinatra A, Lobo C and Castin Y 2001 Phys. Rev. Lett. 87 210404
42. Sinatra A, Lobo C and Castin Y 2002 J. Phys. B: At. Mol. Opt. Phys. 35 3599
43. Lobo C, Sinatra A and Castin Y 2003 Phys. Rev. Lett. 92 020403
44. Lamb W E 1964 Phys. Rev. 134 A1429
45. Tsubota M, Kasamatsu K and Ueda M 2002 Phys. Rev. A 65 023603
46. Choi S, Morgan S A and Burnett K 1998 Phys. Rev. A 57 4057
47. Caradoc-Davies B M 1999 PhD Thesis University of Otago, Dunedin, New Zealand
48. Dalfovo F, Giorgini S, Pitaevskii L P and Stringari S 1999 Rev. Mod. Phys. 71 463
49. Anglin J R and Zurek W H 1999 Phys. Rev. Lett. 83 1707
50. Munro W J and Gardiner C W 1996 Phys. Rev. A 53 2633
51. Gardiner C W and Zoller P 2004 Quantum Noise 3rd edn (Berlin: Springer)
52. Penckwitt A A, Ballagh R J and Gardiner C W 2002 Phys. Rev. Lett. 89 260402
53. Cohen-Tannoudji C, Diu B and Lalöe F 1977 Quantum Mechanics vol 1 (New York: Wiley-Interscience)
54. Penrose O and Onsager L 1956 Phys. Rev. 104 576
55. Blakie P B and Davis M J 2004 Preprint cond-mat/0410496
56. Arfken G B and Weber H J 1995 Mathematical Methods for Physicists 5th edn (London: Academic)