Nonperturbative dynamical many-body theory of a Bose-Einstein condensate

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 72, Issue 6, 2005, Pages

  Gasenzer, Thomas ^a   Berges, Jürgen ^a   Schmidt, Michael G ^a   Seco, Marcos ^a  

^a INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATE; GROSS-PITAEVSKII EQUATION; QUANTUM-DEGENERATE ATOMIC GASES; QUASISTATIONARY STATE;

APPROXIMATION THEORY; GAS DYNAMICS; PERTURBATION TECHNIQUES; PHASE EQUILIBRIA; RESONANCE; SCATTERING PARAMETERS; TEMPERATURE MEASUREMENT;

QUANTUM THEORY;

EID: 28844469305     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.72.063604     Document Type: Article

References (91)

1. B. Goss-Levi, Phys. Today PHTOAD 0031-9228 53, 46 (2000).
2. C. J. Williams and P. S. Julienne, Science SCIEAS 0036-8075 10.1126/science.287.5455.986 287, 986 (2000).
3. J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.1 71, 1 (1999).
4. D. J. Heinzen, R. Wynar, P. D. Drummond, and K. V. Kheruntsyan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.5029 84, 5029 (2000).
5. M. Randeria, in Bose-Einstein Condensation, edited by, A. Griffin, D. W. Snoke, and, S. Stringari, (Cambridge University Press, Cambridge, UK, 1995), Vol. 392, p. 355.
6. J. Schmiedmayer and R. Folman, C. R. Acad. Sci., Ser IV: Phys., Astrophys. CRACFI 1631-0705 2, 333 (2001).
7. L. P. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Clarendon Press, Oxford, 2003).
8. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
9. I. Bloch, Phys. World PHWOEW 0953-8585 17, 25 (2004).
10. W. C. Stwalley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.37. 1628 37, 1628 (1976);
11. E. Tiesinga, A. J. Moerdijk, B. J. Verhaar, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.R1167 46, R1167 (1992);
12. E. Tiesinga, B. J. Verhaar, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.47.4114 47, 4114 (1993);
13. K. Burnett, Nature (London) NATUAS 0028-0836 392, 125 (1998).
14. F. H. Mies, E. Tiesinga, and P. S. Julienne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.022721 61, 022721 (2000).
15. C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.040403 92, 040403 (2004);
16. M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, A. J. Kerman, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.120403 92, 120403 (2004);
17. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. H. Denschlag, and R. Grimm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.120401 92, 120401 (2004).
18. L. Tonks, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.50.955 50, 955 (1936).
19. M. Girardeau, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703687 1, 516 (1960).
20. B. Paredes, A. Widera, V. Murg, O. Mandel, S. Fölling, I. Cirac, G. V. Shlyapnikov, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature02530 429, 277 (2004).
21. D. van Oosten, P. van der Straten, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.053601 63, 053601 (2001).
22. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
23. J. L. Roberts, N. R. Claussen, S. L. Cornish, E. A. Donley, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4211 86, 4211 (2001);
24. E. A. Donley, N. R. Claussen, S. T. Thompson, and C. E. Wieman, Nature (London) NATUAS 0028-0836 10.1038/417529a 417, 529 (2002).
25. Y. Kagan, B. V. Svistunov, and G. V. Shlyapnikov, Sov. Phys. JETP SPHJAR 0038-5646 75, 387 (1992)
26. Y. Kagan, B. V. Svistunov, and G. V. Shlyapnikov, [Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 101, 528 (1992)].
27. H. T. C. Stoof, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66. 3148 66, 3148 (1991)
28. H. T. C. Stoof, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78. 768 78, 768 (1997).
29. C. W. Gardiner, M. D. Lee, R. J. Ballagh, M. J. Davis, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.5266 81, 5266 (1998);
30. M. J. Davis and C. W. Gardiner, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/3/322 35, 733 (2002);
31. M. J. Davis, S. A. Morgan, and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.053618 66, 053618 (2002).
32. M. Köhl, M. J. Davis, C. W. Gardiner, T. W. Hänsch, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.080402 88, 080402 (2002).
33. J. M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.10.2428 10, 2428 (1974).
34. J. Berges, Nucl. Phys. A NUPABL 0375-9474 10.1016/S0375-9474(01)01295-7 699, 847 (2002).
35. G. Aarts, D. Ahrensmeier, R. Baier, J. Berges, and J. Serreau, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.66.045008 66, 045008 (2002).
36. J. Berges and J. Serreau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.111601 91, 111601 (2003).
37. B. Mihaila, J. F. Dawson, and F. Cooper, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.63.096003 63, 096003 (2001);
38. F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.67.056003 67, 056003 (2003).
39. A. Arrizabalaga, J. Smit, and A. Tranberg, J. High Energy Phys. JHEPFG 1126-6708 10, 017 (2004).
40. J. Berges, S. Borsányi, and J. Serreau, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(03)00261-X 660, 51 (2003).
41. J. Berges, S. Borsányi, and C. Wetterich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.142002 93, 142002 (2004).
42. A. M. Rey, B. L. Hu, E. Calzetta, A. Roura, and C. W. Clark, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.033610 69, 033610 (2004).
43. J. O. Andersen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76. 599 76, 599 (2004).
44. N. P. Proukakis and K. Burnett, J. Res. Natl. Inst. Stand. Technol. JRITEF 1044-677X 101, 457 (1996).
45. H. Shi and A. Griffin, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(98) 00015-5 304, 1 (1998).
46. S. Giorgini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.2949 57, 2949 (1998).
47. R. Walser, J. Williams, J. Cooper, and M. Holland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.3878 59, 3878 (1999);
48. S. G. Bhongale, R. Walser, and M. Holland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.043618 66, 043618 (2002).
49. M. J. Davis, C. W. Gardiner, and R. J. Ballagh, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.063608 62, 063608 (2000).
50. H. T. C. Stoof, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A: 1021897703053 114, 11 (1999).
51. M. Imamović-Tomasović and A. Griffin, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1004860602930 122, 617 (2001).
52. D. Boyanovsky, S.-Y. Wang, D.-S. Lee, H.-L. Yu, and S. M. Alamoudi, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1006/aphy.2002.6275 300, 1 (2002).
53. A. M. Rey, B. L. Hu, E. Calzetta, and C. W. Clark, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.023604 72, 023604 (2005).
54. R. Baier and T. Stockamp, e-print hep-ph/0412310.
55. E. Calzetta and B. L. Hu, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.37.2878 37, 2878 (1988).
56. Y. B. Ivanov, J. Knoll, and D. N. Voskresensky, Nucl. Phys. A NUPABL 0375-9474 10.1016/S0375-9474(99)00313-9 657, 413 (1999).
57. T. Prokopec, M. G. Schmidt, and S. Weinstock, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2004.06.002 314, 208 (2004)
58. T. Prokopec, M. G. Schmidt, and S. Weinstock, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2004.06.001 314, 267 (2004).
59. T. Konstandin, T. Prokopec, and M. G. Schmidt, Nucl. Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb.2005.03.013 716, 373 (2005);
60. T. Konstandin, T. Prokopec, M. G. Schmidt, and M. Seco, e-print hep-ph/0505103.
61. M. Alford, J. Berges, and J. M. Cheyne, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.70.125002 70, 125002 (2004).
62. G. Aarts and J. Berges, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.041603 88, 041603 (2002).
63. D. S. Petrov, M. Holzmann, and G. V. Shlyapnikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2551 84, 2551 (2000);
64. 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).
65. J. O. Andersen, U. Al Khawaja, and H. T. C. Stoof, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.070407 88, 070407 (2002);
66. U. Al Khawaja, J. O. Andersen, N. P. Proukakis, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.013615 66, 013615 (2002).
67. G. E. Astrakharchik and S. Giorgini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.031602 68, 031602 (R) (2004);
68. S. Pilati, J. Boronat, J. Casulleras, and S. Giorgini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.023605 71, 023605 (2005).
69. T. Köhler and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.033601 65, 033601 (2002).
70. T. Köhler, T. Gasenzer, and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.013601 67, 013601 (2003).
71. B. Mihaila, J. F. Dawson, and F. Cooper, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.56.5400 56, 5400 (1997).
72. A. V. Ryzhov and L. G. Yaffe, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.62.125003 62, 125003 (2000).
73. J. Berges, e-print hep-ph/0409233;
74. J. Berges, AIP Conf. Proc. APCPCS 0094-243X 10.1063/1.1843591 739, 3 (2004).
75. J. Berges and J. Serreau, e-print hep-ph/0410330; Proc. Int. Conf. SEWM2004 (2004).
76. S. J. J. M. F. Kokkelmans, J. N. Milstein, M. L. Chiofalo, R. Walser, and M. J. Holland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.053617 65, 053617 (2002).
77. N. P. Proukakis and K. Burnett, J. Res. Natl. Inst. Stand. Technol. JRITEF 1044-677X 101, 457 (1996).
78. J. Schwinger, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703727 2, 407 (1961);
79. L. V. Keldysh, Sov. Phys. JETP SPHJAR 0038-5646 10.1103/PhysRev.115. 134210.1103/PhysRev.126.329 20, 1018 (1965)
80. L. V. Keldysh, [Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 10.1103/PhysRev.115.134210.1103/PhysRev.126.329 47, 1515 (1964)].
81. J. Berges, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.70.105010 70, 105010 (2004).
82. J. M. Luttinger and J. C. Ward, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.118.1417 118, 1417 (1960).
83. G. Baym, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.127.1391 127, 1391 (1962).
84. S. J. J. M. F. Kokkelmans and M. J. Holland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.180401 89, 180401 (2002).
85. V. A. Yurovsky and A. Ben-Reuven, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.043611 67, 043611 (2003).
86. T. Köhler, K. Góral, and T. Gasenzer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.023613 70, 023613 (2004).
87. K. Góral, T. Köhler, S. A. Gardiner, E. Tiesinga, and P. S. Julienne, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/17/006 37, 3457 (2004).
88. T. Gasenzer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.021603 70, 021603 (R) (2004).
89. T. Gasenzer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.043618 70, 043618 (2004).
90. L. M. Bettencourt and C. Wetterich, Phys. Lett. B PYLBAJ 0370-2693 10.1016/S0370-2693(98)00509-7 430, 140 (1998).
91. G. Aarts, G. F. Bonini, and C. Wetterich, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.63.025012 63, 025012 (2000).