Thermalization of interacting fermions and delocalization in Fock space

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 85, Issue 6, 2012, Pages

  Neuenhahn, Clemens ^a   Marquardt, Florian ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DELOCALIZATIONS; EIGEN STATE; EIGENSTATES; ERGODICITY; EXPECTATION VALUES; FOCK SPACES; INTERACTING FERMIONS; PARTICIPATION RATIOS; SMALL PERTURBATIONS; THERMALIZATION; THERMODYNAMIC LIMITS;

ALGEBRA;

QUANTUM OPTICS;

EID: 84862205285     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.060101     Document Type: Article

References (26)

1. E. Fermi, J. Pasta, and S. Ulam, Document LA-1940, 1955.
2. J. Ford, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(92)90116-H 213, 271 (1992).
3. A. Polkovnikov, K. Sengupta, A. Silva, and M. Vengalattore, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.863 83, 863 (2011).
4. M. Greiner, O. Mandel, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature00968 419, 51 (2002). (Pubitemid 34987866)
5. T. Kinoshita, T. Wenger, and D. S. Weiss, Nature (London) NATUAS 0028-0836 10.1038/nature04693 440, 900 (2006).
6. S. Hofferberth, I. Lesanovsky, B. Fischer, T. Schumm, and J. Schmiedmayer, Nature (London) NATUAS 0028-0836 10.1038/nature06149 449, 324 (2007). (Pubitemid 47449551)
7. J. M. Deutsch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.2046 43, 2046 (1991).
8. M. Srednicki, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.50.888 50, 888 (1994).
9. M. Rigol and M. Srednicki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.110601 108, 110601 (2012).
10. M. Rigol, V. Dunjko, and M. Olshanii, Nature (London) NATUAS 0028-0836 10.1038/nature06838 452, 854 (2008). (Pubitemid 351550863)
11. M. Rigol, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103. 100403 103, 100403 (2009).
12. M. Rigol, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.053607 80, 053607 (2009).
13. L. F. Santos and M. Rigol, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.036206 81, 036206 (2010).
14. E. Canovi, D. Rossini, R. Fazio, G. E. Santoro, and A. Silva, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.094431 83, 094431 (2011).
15. V. A. Yurovsky and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.025303 106, 025303 (2011).
16. X. Leyronas, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.3414 84, 3414 (2000).
17. N. Linden, S. Popescu, A. J. Short, and A. Winter, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.061103 79, 061103 (2009).
18. P. G. Silvestrov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 79.3994 79, 3994 (1997).
19. B. L. Altshuler, Y. Gefen, A. Kamenev, and L. S. Levitov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2803 78, 2803 (1997).
20. B. Georgeot and D. L. Shepelyansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.4365 79, 4365 (1997).
21. P. G. Silvestrov, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.58.5629 58, 5629 (1998).
22. A. C. Cassidy, D. Mason, V. Dunjko, and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.025302 102, 025302 (2009).
23. V. V. Flambaum, G. F. Gribakin, and F. M. Izrailev, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.53.5729 53, 5729 (1996).
24. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevE.85.060101 for details.
25. B. Lauritzen, P. F. Bortignon, R. A. Broglia, and V. G. Zelevinsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.5190 74, 5190 (1995).
26. V. V. Flambaum and F. M. Izrailev, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.61.2539 61, 2539 (2000).