Threshold for chaos and thermalization in the one-dimensional mean-field Bose-Hubbard model

Physical Review Letters

Volumn 102, Issue 2, 2009, Pages

  Cassidy, Amy C ^a,b   Mason, Douglas ^c   Dunjko, Vanja ^b   Olshanii, Maxim ^b  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b UNIVERSITY OF MASSACHUSETTS BOSTON   (United States)

^c HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MECHANICS; STATISTICAL MECHANICS;

BOSE-HUBBARD MODELS; MEAN FIELDS; ONE-DIMENSIONAL; OPTICAL LATTICES; THERMALIZATION; THERMODYNAMIC LIMITS;

HUBBARD MODEL;

EID: 59449086691     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.102.025302     Document Type: Article

References (31)

1. D. Jaksch, Phys. Rev. Lett. 81, 3108 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108
2. E. Fermi, J. Pasta, and S. Ulam, Los Alamos Report No. LA-1940, 1955.
3. N.J. Zabusky and M.D. Kruskal, Phys. Rev. Lett. 15, 240 (1965). PRLTAO 0031-9007 10.1103/PhysRevLett.15.240
4. B.V. Chirikov, At. Energ. AENGAB 0004-7163 6, 630 (1959)
5. [B.V. Chirikov J. Nucl. Energy, Part C JNCEAA 0022-3107 1, 253 (1960)]. 10.1088/0368-3281/1/4/311
6. F.M. Izrailev and B.V. Chirikov, Sov. Phys. Dokl. SPHDA9 0038-5689 11, 30 (1966).
7. D. Boyanovsky, C. Destri, and H.J. de Vega, Phys. Rev. D PRVDAQ 0556-2821 69, 045003 (2004). 10.1103/PhysRevD.69.045003
8. G.J.L. Gerhardt, Chaos Solitons Fractals CSFOEH 0960-0779 13, 1269 (2002). 10.1016/S0960-0779(01)00128-X
9. P. Villain and M. Lewenstein, Phys. Rev. A 62, 043601 (2000). PLRAAN 1050-2947 10.1103/PhysRevA.62.043601
10. B.M. Herbst and M.J. Ablowitz, Phys. Rev. Lett. 62, 2065 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.62.2065
11. M.J. Ablowitz, C. Schober, and B.M. Herbst, Phys. Rev. Lett. 71, 2683 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.71.2683
12. R. Livi, Phys. Rev. A 31, 1039 (1985). PLRAAN 1050-2947 10.1103/PhysRevA.31.1039
13. M. Pettini and M. Cerruti-Sola, Phys. Rev. A 44, 975 (1991). PLRAAN 1050-2947 10.1103/PhysRevA.44.975
14. M. Srednicki, Phys. Rev. E PLEEE8 1063-651X 50, 888 (1994). 10.1103/PhysRevE.50.888
15. M. Horoi, V. Zelevinsky, and B.A. Brown, Phys. Rev. Lett. 74, 5194 (1995); PRLTAO 0031-9007 10.1103/PhysRevLett.74.5194
16. P. Jacquod and D.L. Shepelyansky, Phys. Rev. Lett. 79, 1837 (1997); PRLTAO 0031-9007 10.1103/PhysRevLett.79.1837
17. V.V. Flambaum and F.M. Izrailev, Phys. Rev. E PLEEE8 1063-651X 55, R13 (1997); 10.1103/PhysRevE.55.R13
18. M. Rigol, V. Dunjko, and M. Olshanii, Nature (London) 452, 854 (2008). NATUAS 0028-0836 10.1038/nature06838
19. M. Greiner, Phys. Rev. Lett. 87, 160405 (2001); PRLTAO 0031-9007 10.1103/PhysRevLett.87.160405
20. T. Stöferle, Phys. Rev. Lett. 92, 130403 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.130403
21. B.V. Chirikov, Phys. Rep. 52, 263 (1979). PRPLCM 0370-1573 10.1016/0370-1573(79)90023-1
22. B. Eckhardt and D. Yao, Physica (Amsterdam) 65D, 100 (1993); PDNPDT 0167-2789 10.1016/0167-2789(93)90007-N
23. N. Voglis and G.J. Contopoulos, J. Phys. A JPHAC5 0305-4470 27, 4899 (1994). 10.1088/0305-4470/27/14/017
24. G. Contopoulos, L. Galgani, and A. Giorgilli, Phys. Rev. A 18, 1183 (1978). PLRAAN 1050-2947 10.1103/PhysRevA.18.1183
25. Y. Castin, in Coherent Atomic Matter Waves, edited by, R. Kaiser, C. Westbrook, and, F. David, (Springer, Berlin, 2001), p. 32;
26. P. Ohberg and S. Stenholm, J. Phys. B JPAPEH 0953-4075 30, 2749 (1997). 10.1088/0953-4075/30/12/005
27. Y. Castin, J. Phys. IV (France) JPICEI 1155-4339 116, 89 (2004); 10.1051/jp4:2004116004
28. Y. Castin, J. Mod. Opt. JMOPEW 0950-0340 47, 2671 (2000);
29. Y. Kagan and B.V. Svistunov, Phys. Rev. Lett. 79, 3331 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.79.3331
30. C.J. Hamer and J.B. Kogut, Phys. Rev. B PRBMDO 0163-1829 20, 3859 (1979). 10.1103/PhysRevB.20.3859
31. Y. Wang, Phys. Rev. Lett. 94, 090405 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.090405