Relaxation in a completely integrable many-body Quantum system: An Ab initio study of the dynamics of the highly excited states of 1D lattice hard-core bosons

Physical Review Letters

Volumn 98, Issue 5, 2007, Pages

  Rigol, Marcos ^a   Dunjko, Vanja ^b,c   Yurovsky, Vladimir ^d   Olshanii, Maxim ^b,c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^c HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

^d TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELEMENTARY PARTICLES; GROUND STATE; MOLECULAR DYNAMICS; THERMODYNAMICS;

BOSONS; EQUILIBRIUM STATE; EXCITED STATES; INTEGRABLE SYSTEMS;

QUANTUM THEORY;

EID: 33846840504     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.98.050405     Document Type: Article

References (49)

1. M. Girardeau, J. Math. Phys. (N.Y.) 1, 516 (1960). JMAPAQ 0022-2488 10.1063/1.1703687
2. A. Lenard, J. Math. Phys. (N.Y.) 5, 930 (1964). JMAPAQ 0022-2488 10.1063/1.1704196
3. H.G. Vaidya and C.A. Tracy, Phys. Rev. Lett. 42, 3 (1979). PRLTAO 0031-9007 10.1103/PhysRevLett.42.3
4. T. Kinoshita, T. Wenger, and D.S. Weiss, Science 305, 1125 (2004). SCIEAS 0036-8075 10.1126/science.1100700
5. M. Rigol and A. Muramatsu, Phys. Rev. A 70, 031603(R) (2004); PLRAAN 1050-2947 10.1103/PhysRevA.70.031603
6. M. Rigol A. Muramatsu Phys. Rev. A 72, 013604 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.72.013604
7. B. Paredes, Nature (London) 429, 277 (2004). NATUAS 0028-0836 10.1038/nature02530
8. E.H. Lieb and W. Liniger, Phys. Rev. 130, 1605 (1963). PHRVAO 0031-899X 10.1103/PhysRev.130.1605
9. J.B. McGuire, J. Math. Phys. (N.Y.) 5, 622 (1964). JMAPAQ 0022-2488 10.1063/1.1704156
10. A. Görlitz, Phys. Rev. Lett. 87, 130402 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.130402
11. F. Schreck, Phys. Rev. Lett. 87, 080403 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.080403
12. K.E. Strecker, Nature (London) NATUAS 0028-0836 417, 150 (2002). 10.1038/nature747
13. M. Köhl, Appl. Phys. B APBOEM 0946-2171 79, 1009 (2004). 10.1007/s00340-004-1662-8
14. B.L. Tolra, Phys. Rev. Lett. 92, 190401 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.190401
15. M. Gaudin, Phys. Lett. A 24, 55 (1967); PYLAAG 0375-9601 10.1016/0375-9601(67)90193-4
16. C.N. Yang, Phys. Rev. Lett. 19, 1312 (1967). PRLTAO 0031-9007 10.1103/PhysRevLett.19.1312
17. H. Moritz, Phys. Rev. Lett. 94, 210401 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.210401
18. B.E. Granger and D. Blume, Phys. Rev. Lett. 92, 133202 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.133202
19. M.D. Girardeau, H. Nguyen, and M. Olshanii, Opt. Commun. OPCOB8 0030-4018 243, 3 (2004). 10.1016/j.optcom.2004.09.079
20. F. Calogero, J. Math. Phys. (N.Y.) 10, 2191 (1969); JMAPAQ 0022-2488 10.1063/1.1664820
21. F. Calogero J. Math. Phys. (N.Y.) 10, 2197 (1969). JMAPAQ 0022-2488 10.1063/1.1664821
22. B. Sutherland, J. Math. Phys. (N.Y.) 12, 246 (1971); JMAPAQ 0022-2488 10.1063/1.1665584
23. B. Sutherland J. Math. Phys. (N.Y.) 12, 251 (1971). JMAPAQ 0022-2488 10.1063/1.1665585
24. J. Hubbard, Proc. R. Soc. A PRLAAZ 0080-4630 276, 238 (1963). 10.1098/rspa.1963.0204
25. D. Jaksch, Phys. Rev. Lett. 81, 3108 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108
26. M. Greiner, Phys. Rev. Lett. 87, 160405 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.160405
27. M.P. Fisher, Phys. Rev. B PRBMDO 0163-1829 40, 546 (1989). 10.1103/PhysRevB.40.546
28. M. Greiner, Nature (London) 415, 39 (2002); NATUAS 0028-0836 10.1038/415039a
29. M. Greiner Nature (London) 419, 51 (2002). NATUAS 0028-0836 10.1038/nature00968
30. T. Stöferle, Phys. Rev. Lett. 92, 130403 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.130403
31. G.P. Berman and F.M. Izrailev, Chaos 15, 015104 (2005). CHAOEH 1054-1500 10.1063/1.1855036
32. P. Mazur, Physica (Amsterdam) 43, 533 (1969). PHYSAG 0031-8914 10.1016/0031-8914(69)90185-2
33. M. Suzuki, Physica (Amsterdam) 51, 277 (1971). PHYSAG 0031-8914 10.1016/0031-8914(71)90226-6
34. H. Castella, X. Zotos, and P. Prelovek, Phys. Rev. Lett. 74, 972 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.74.972
35. X. Zotos, F. Naef, and P. Prelovek, Phys. Rev. B PRBMDO 0163-1829 55, 11029 (1997). 10.1103/PhysRevB.55.11029
36. V.V. Flambaum and F.M. Izrailev, quant-ph/0108109.
37. V.V. Flambaum and F.M. Izrailev, Phys. Rev. E 64, 036220 (2001). PLEEE8 1063-651X 10.1103/PhysRevE.64.036220
38. G.P. Berman, Phys. Rev. Lett. 92, 030404 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.030404
39. T. Kinoshita, T. Wenger, and D.S. Weiss, Nature (London) 440, 900 (2006). NATUAS 0028-0836 10.1038/nature04693
40. E.T. Jaynes, Phys. Rev. 106, 620 (1957); PHRVAO 0031-899X 10.1103/PhysRev.106.620
41. E.T. Jaynes Phys. Rev. 108, 171 (1957). PHRVAO 0031-899X 10.1103/PhysRev.108.171
42. M.D. Girardeau, Phys. Lett. A 30, 442 (1969); PYLAAG 0375-9601 10.1016/0375-9601(69)90232-1
43. M.D. Girardeau Phys. Lett. A 32, 67 (1970). PYLAAG 0375-9601 10.1016/0375-9601(70)90090-3
44. E. Lieb, T. Shultz, and D. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961). APNYA6 0003-4916 10.1016/0003-4916(61)90115-4
45. M. Rigol and A. Muramatsu, Phys. Rev. Lett. 93, 230404 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.230404
46. M. Rigol A. Muramatsu Mod. Phys. Lett. B 19, 861 (2005). MPLBET 0217-9849 10.1142/S0217984905008876
47. M. Rigol, Phys. Rev. A 72, 063607 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.72.063607
48. V.G. Rousseau, Phys. Rev. B PRBMDO 0163-1829 73, 174516 (2006). 10.1103/PhysRevB.73.174516
49. http://physics.usc.edu/~olshanii/DIST/.