Pushing the limits of the eigenstate thermalization hypothesis towards mesoscopic quantum systems

Physical Review Letters

Volumn 112, Issue 13, 2014, Pages

  Steinigeweg, R ^a   Khodja, A ^b   Niemeyer, H ^b   Gogolin, C ^c   Gemmer, J ^b  

^a TECHNICAL UNIVERSITY OF BRAUNSCHWEIG   (Germany)

^b UNIVERSITY OF OSNABRÜCK   (Germany)

^c FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONCRETE APPLICATIONS; EXACT DIAGONALIZATION; HEISENBERG SPINS; QUANTUM MANY-BODY SYSTEMS; QUANTUM SYSTEM; SPIN SYSTEMS; SYSTEM SIZE; THERMALIZATION;

QUANTUM ELECTRONICS;

QUANTUM OPTICS;

EID: 84898064743     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.112.130403     Document Type: Article

References (43)

1. S. Trotzky, P. Cheinet, S. Folling, M. Feld, U. Schnorrberger, A.M. Rey, A. Polkovnikov, E.A. Demler, M.D. Lukin, and I. Bloch, Science 319, 295 (2008). SCIEAS 0036-8075 10.1126/science.1150841
2. S. Hofferberth, I. Lesanovsky, B. Fischer, T. Schumm, and J. Schmiedmayer, Nature (London) 449, 324 (2007). NATUAS 0028-0836 10.1038/nature06149
3. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. 80, 885 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.885
4. M. Cheneau, P. Barmettler, D. Poletti, M. Endres, P. Schauß, T. Fukuhara, C. Gross, I. Bloch, C. Kollath, and S. Kuhr, Nature (London) 481, 484 (2012). NATUAS 0028-0836 10.1038/nature10748
5. T. Langen, R. Geiger, M. Kuhnert, B. Rauer, and J. Schmiedmayer, Nat. Phys. 9, 640 (2013). NPAHAX 1745-2473 10.1038/nphys2739
6. J.M. Deutsch, Phys. Rev. A 43, 2046 (1991). PLRAAN 1050-2947 10.1103/PhysRevA.43.2046
7. M. Srednicki, Phys. Rev. E 50, 888 (1994). PLEEE8 1063-651X 10.1103/PhysRevE.50.888
8. M. Rigol, V. Dunjko, and M. Olshanii, Nature (London) 452, 854 (2008). NATUAS 0028-0836 10.1038/nature06838
9. M. Rigol and M. Srednicki, Phys. Rev. Lett. 108, 110601 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.110601
10. M. Rigol, Phys. Rev. Lett. 103, 100403 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.100403
11. L.F. Santos and M. Rigol, Phys. Rev. E 82, 031130 (2010). PLEEE8 1539-3755 10.1103/PhysRevE.82.031130
12. M. Rigol and L.F. Santos, Phys. Rev. A 82, 011604(R) (2010). PLRAAN 1050-2947 10.1103/PhysRevA.82.011604
13. R. Steinigeweg, J. Herbrych, and P. Prelovšek, Phys. Rev. E 87, 012118 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.87.012118
14. W. Beugeling, R. Moessner, and M. Haque, arXiv:1308.2862.
15. A.J. Daley, C. Kollath, U. Schollwöck, and G. Vidal, J. Stat. Mech. 04 (2004) P04005. JSMTC6 1742-5468 10.1088/1742-5468/2004/04/P04005
16. S.R. White and A.E. Feiguin, Phys. Rev. Lett. 93, 076401 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.076401
17. G. Vidal, Phys. Rev. Lett. 93, 040502 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.040502
18. For a recent review on Lanczos, see P. Prelovšek and J. Bonča, in Strongly Correlated Systems, Solid-State Sciences, vol. 176, edited by A. Avella and F. Mancini, (Springer, Berlin, 2013).
19. H. De Raedt and K. Michielsen, Computational Methods for Simulating Quantum Computers in Handbook of Theoretical and Computational Nanotechnology (American Scientific Publishers, Los Angeles, 2006).
20. C. Karrasch, J.H. Bardarson, and J.E. Moore, Phys. Rev. Lett. 108, 227206 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.227206
21. G. Biroli, C. Kollath, and A.M. Läuchli, Phys. Rev. Lett. 105, 250401 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.250401
22. F. Jin, H. De Raedt, S. Yuan, M.I. Katsnelson, S. Miyashita, and K. Michielsen, J. Phys. Soc. Jpn. 79, 124005 (2010). JUPSAU 0031-9015 10.1143/JPSJ.79.124005
23. K. De Raedt, K. Michielsen, H. De Raedt, B. Trieu, G. Arnold, M. Richter, Th. Lippert, H. Watanabe, and N. Ito, Comput. Phys. Commun. 176, 121 (2007). CPHCBZ 0010-4655 10.1016/j.cpc.2006.08.007
24. T.A. Elsayed and B.V. Fine, Phys. Rev. Lett. 110, 070404 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.070404
25. P. Reimann, Phys. Rev. Lett. 101, 190403 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.190403
26. N. Linden, S. Popescu, A.J. Short, and A. Winter, Phys. Rev. E 79, 061103 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.79.061103
27. A.J. Short and T.C. Farrelly, New J. Phys. 14, 013063 (2012). NJOPFM 1367-2630 10.1088/1367-2630/14/1/013063
28. P. Reimann and M. Kastner, New J. Phys. 14, 043020 (2012). NJOPFM 1367-2630 10.1088/1367-2630/14/4/043020
29. S. Goldstein, J.L. Lebowitz, R. Tumulka, and N. Zanghi, Phys. Rev. Lett. 96, 050403 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.050403
30. S. Popescu, A.J. Short, and A. Winter, Nat. Phys. 2, 754 (2006). NPAHAX 1745-2473 10.1038/nphys444
31. P. Reimann, Phys. Rev. Lett. 99, 160404 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.160404
32. C. Bartsch and J. Gemmer, Phys. Rev. Lett. 102, 110403 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.110403
33. S. Sugiura and A. Shimizu, Phys. Rev. Lett. 108, 240401 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.240401
34. S. Sugiura and A. Shimizu, Phys. Rev. Lett. 111, 010401 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.010401
35. J. Gemmer, M. Michel, and G. Mahler, Quantum Thermodynamics: Emergence of Thermodynamic Behavior within Composite Quantum Systems (Springer, Berlin, 2009).
36. C. Presilla and U. Tambini, Phys. Rev. E 52, 4495 (1995). PLEEE8 1063-651X 10.1103/PhysRevE.52.4495
37. S. Garnerone and T.R. de Oliveira, Phys. Rev. B 87, 214426 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.214426
38. S. Garnerone, Phys. Rev. B 88, 165140 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.165140
39. M. Žnidarič, Phys. Rev. Lett. 110, 070602 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.070602
40. H. Niemeyer, D. Schmitke, and J. Gemmer, Europhys. Lett. 101, 10010 (2013); EULEEJ 0295-5075 10.1209/0295-5075/101/10010
41. H. Niemeyer, K. Michielsen, H. De Raedt, and J. Gemmer, Phys. Rev. E 89, 012131 (2014). PLEEE8 1539-3755 10.1103/PhysRevE.89.012131
42. Generally, a fourth-order Runge-Kutta scheme has the form (Equation presented), (Equation presented), (Equation presented), (Equation presented), (Equation presented) with (Equation presented) for energy filtering and (Equation presented) for time evolution, cf. Ref. [24].
43. R. Steinigeweg, J. Gemmer, and W. Brenig, [Phys. Rev. Lett. (to be published)].