Nonequilibrium dynamics of condensates in a lattice with the two-particle-irreducible effective action in the 1/N expansion

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 5, 2006, Pages

  Temme, Kristan ^a   Gasenzer, Thomas ^a  

^a INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ELEMENTARY PARTICLES; HAMILTONIANS; HIGH ENERGY PHYSICS; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

BOSE-EINSTEIN CONDENSATE; BOSE-HUBBARD MODEL; LATTICE POTENTIAL; QUANTUM DYNAMICS;

QUANTUM THEORY;

EID: 33750596423     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.053603     Document Type: Article

References (49)

1. W. C. Stwalley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.37. 1628 37, 1628 (1976).
2. 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).
3. S. Inouye, M. R. Andrews, J. Stenger, H.-J. Miesner, D. M. Stamper-Kurn, and W. Ketterle, Nature (London) NATUAS 0028-0836 10.1038/32354 392, 151 (1998).
4. F. H. Mies, E. Tiesinga, and P. S. Julienne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.022721 61, 022721 (2000).
5. E. A. Donley, N. R. Claussen, S. T. Thompson, and C. E. Wieman, Nature (London) NATUAS 0028-0836 10.1038/417529a 417, 529 (2002).
6. 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).
7. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
8. N. P. Proukakis and K. Burnett, J. Res. Natl. Inst. Stand. Technol. JRITEF 1044-677X 101, 457 (1996).
9. H. Shi and A. Griffin, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(98) 00015-5 304, 1 (1998).
10. C. W. Gardiner and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.2902 55, 2902 (1997).
11. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.3987 78, 3987 (1997).
12. N. P. Proukakis, K. Burnett, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.1230 57, 1230 (1998).
13. R. Walser, J. Williams, J. Cooper, and M. Holland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.3878 59, 3878 (1999).
14. C. W. Gardiner and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.033601 61, 033601 (2000).
15. R. Walser, J. Cooper, and M. Holland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.013607 63, 013607 (2000).
16. 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).
17. R. Baier and T. Stockamp, e-print hep-ph/0412310.
18. E. Calzetta and B. L. Hu, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.37.2878 37, 2878 (1988).
19. J. Berges, Nucl. Phys. A NUPABL 0375-9474 10.1016/S0375-9474(01)01295-7 699, 847 (2002).
20. S. G. Bhongale, R. Walser, and M. J. Holland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.043618 66, 043618 (2002).
21. T. Köhler and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.033601 65, 033601 (2002).
22. 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).
23. T. Gasenzer, J. Berges, M. G. Schmidt, and M. Seco, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.063604 72, 063604 (2005).
24. S. Peil, J. V. Porto, B. L. Tolra, J. M. Obrecht, B. E. King, M. Subbotin, S. L. Rolston, and W. D. Phillips, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.051603 67, 051603 (R) (2003).
25. A. Polkovnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.053604 68, 053604 (2003).
26. I. Tikhonenkov, J. R. Anglin, and A. Vardi, e-print cond-mat/0606609.
27. J. M. Luttinger and J. C. Ward, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.118.1417 118, 1417 (1960).
28. G. Baym, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.127.1391 127, 1391 (1962).
29. J. M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.10.2428 10, 2428 (1974).
30. 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).
31. M. Alford, J. Berges, and J. M. Cheyne, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.70.125002 70, 125002 (2004).
32. J. Berges and J. Serreau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.111601 91, 111601 (2003).
33. B. Mihaila, J. F. Dawson, and F. Cooper, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.63.096003 63, 096003 (2001).
34. F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.67.056003 67, 056003 (2003).
35. A. Arrizabalaga, J. Smit, and A. Tranberg, J. High Energy Phys. JHEPFG 1126-6708 10.1088/1126-67/2004/10/017 10 (2004) 017.
36. G. Aarts and A. Tranberg, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.74.025004 74, 025004 (2006).
37. G. Aarts and J. Berges, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.64.105010 64, 105010 (2001).
38. J. Berges, S. Borsányi, and J. Serreau, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(03)00261-X B660, 51 (2003).
39. J. Berges, S. Borsányi, and C. Wetterich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.142002 93, 142002 (2004).
40. G. Aarts and J. Berges, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.041603 88, 041603 (2002).
41. J. Berges, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.70.105010 70, 105010 (2004).
42. J. Berges, e-print hep-ph/0409233;
43. J. Berges, AIP Conf. Proc. No. 793 (AIP, New York, 2005), p. 3.
44. J. Berges and T. Gasenzer (unpublished).
45. G.-S. Paraoanu, S. Kohler, F. Sols, and A. J. Leggett, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/34/23/313 34, 4689 (2001).
46. L. Pitaevskii and S. Stringari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.180402 87, 180402 (2001).
47. J. Berges and I.-O. Stamatescu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.202003 95, 202003 (2005).
48. A. Arrizabalaga, J. Smit, and A. Tranberg, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.72.025014 72, 025014 (2005).
49. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).