Quenches in a quasidisordered integrable lattice system: Dynamics and statistical description of observables after relaxation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 86, Issue 5, 2012, Pages

  Gramsch, Christian ^a,b   Rigol, Marcos ^a,c  

^a GEORGETOWN UNIVERSITY   (United States)

^b UNIVERSITY OF AUGSBURG   (Germany)

^c PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL POINTS; GIBBS ENSEMBLE; HARD-CORE BOSONS; LATTICE SYSTEM; MOMENTUM DISTRIBUTION FUNCTION; MOMENTUM DISTRIBUTIONS; NATURAL ORBITALS; ONE-DIMENSIONAL GEOMETRY; OUT OF EQUILIBRIUM; POWER-LAW; QUASIPERIODIC POTENTIAL; RELAXATION DYNAMICS; STATISTICAL DESCRIPTIONS;

RELAXATION PROCESSES;

DYNAMICS;

EID: 84870164327     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.86.053615     Document Type: Article

References (58)

1. M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.050405 98, 050405 (2007). (Pubitemid 46203541)
2. M. Rigol, A. Muramatsu, and M. Olshanii, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053616 74, 053616 (2006). (Pubitemid 44771832)
3. A. C. Cassidy, C. W. Clark, and M. Rigol, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.140405 106, 140405 (2011).
4. M. A. Cazalilla, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 97.156403 97, 156403 (2006). (Pubitemid 44570421)
5. P. Calabrese and J. Cardy, J. Stat. Mech.: Theory Exp. 10.1088/1742-5468/2007/06/P06008 (2007) P06008.
6. M. Cramer, C. M. Dawson, J. Eisert, and T. J. Osborne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.030602 100, 030602 (2008). (Pubitemid 351161771)
7. T. Barthel and U. Schollwöck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.100601 100, 100601 (2008). (Pubitemid 351399128)
8. M. Eckstein and M. Kollar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.120404 100, 120404 (2008). (Pubitemid 351465915)
9. M. Kollar and M. Eckstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.013626 78, 013626 (2008).
10. A. Iucci and M. A. Cazalilla, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.063619 80, 063619 (2009).
11. D. Rossini, A. Silva, G. Mussardo, and G. E. Santoro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.127204 102, 127204 (2009).
12. D. Rossini, S. Suzuki, G. Mussardo, G. E. Santoro, and A. Silva, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.144302 82, 144302 (2010).
13. D. Fioretto and G. Mussardo, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/5/055015 12, 055015 (2010).
14. A. Iucci and M. A. Cazalilla, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/5/055019 12, 055019 (2010).
15. J. Mossel and J.-S. Caux, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/5/055028 12, 055028 (2010).
16. P. Calabrese, F. H. L. Essler, and M. Fagotti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.227203 106, 227203 (2011).
17. M. A. Cazalilla, A. Iucci, and M.-C. Chung, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.011133 85, 011133 (2012).
18. M. Rigol and M. Fitzpatrick, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.033640 84, 033640 (2011).
19. M.-C. Chung, A. Iucci, and M. A. Cazalilla, New J. Phys. 1367-2630 10.1088/1367-2630/14/7/075013 14, 075013 (2012).
20. M. Kormos, A. Shashi, Y.-Z. Chou, and A. Imambekov, arXiv: 1204.3889.
21. K. He and M. Rigol, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85. 063609 85, 063609 (2012).
22. P. Calabrese, F. H. L. Essler, and M. Fagotti, J. Stat. Mech.: Theory Exp. 10.1088/1742-5468/2012/07/P07016 (2012) P07016.
23. P. Calabrese, F. H. L. Essler, and M. Fagotti, J. Stat. Mech.: Theory Exp. 10.1088/1742-5468/2012/07/P07022 (2012) P07022.
24. M. A. Cazalilla, R. Citro, T. Giamarchi, E. Orignac, and M. Rigol, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.1405 83, 1405 (2011).
25. T. Kinoshita, T. Wenger, and D. Weiss, Nature (London) NATUAS 0028-0836 10.1038/nature04693 440, 900 (2006).
26. S. Trotzky, Y.-A. Chen, A. Flesch, I. P. McCulloch, U. Schollwöck, J. Eisert, and I. Bloch, Nat. Phys. 1745-2473 10.1038/nphys2232 8, 325 (2012).
27. E. T. Jaynes, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.106.620 106, 620 (1957).
28. E. T. Jaynes, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.108.171 108, 171 (1957).
29. J. M. Deutsch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.2046 43, 2046 (1991).
30. M. Srednicki, Phys. Rev. E 1539-3755 10.1103/PhysRevE.50.888 50, 888 (1994).
31. M. Rigol, V. Dunjko, and M. Olshanii, Nature (London) NATUAS 0028-0836 10.1038/nature06838 452, 854 (2008). (Pubitemid 351550863)
32. M. Rigol and M. Srednicki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.110601 108, 110601 (2012).
33. J. Berges, S. Borsányi, and C. Wetterich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.142002 93, 142002 (2004).
34. M. Moeckel and S. Kehrein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.175702 100, 175702 (2008). (Pubitemid 351624649)
35. M. Moeckel and S. Kehrein, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/j.aop.2009.03.009 324, 2146 (2009).
36. M. Kollar, F. A. Wolf, and M. Eckstein, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.054304 84, 054304 (2011).
37. T. Caneva, E. Canovi, D. Rossini, G. E. Santoro, and A. Silva, J. Stat. Mech.: Theory Exp. 10.1088/1742-5468/2011/07/P07015 (2011) P07015.
38. D. M. Basko, I. L. Aleiner, and B. L. Altshuler, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/j.aop.2005.11.014 321, 1126 (2006). (Pubitemid 43560343)
39. V. Oganesyan and D. A. Huse, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.155111 75, 155111 (2007).
40. A. Pal and D. A. Huse, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82. 174411 82, 174411 (2010).
41. E. Khatami, M. Rigol, A. Relaño, and A. M. García- García, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.050102 85, 050102 (R) (2012).
42. C. Gogolin, M. P. Müller, and J. Eisert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.040401 106, 040401 (2011).
43. S. Aubry and G. André, Ann. Isr. Phys. Soc. 3, 133 (1980).
44. J. B. Sokoloff, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(85)90088-2 126, 189 (1985).
45. T. Holstein and H. Primakoff, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.58.1098 58, 1098 (1940).
46. E. Lieb, T. Shultz, and D. Mattis, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(61)90115-4 16, 406 (1961).
47. P. Jordan and E. Wigner, Z. Phys. EPJAFV 0044-3328 10.1007/BF01331938 47, 631 (1928).
48. M. Rigol and A. Muramatsu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.240403 94, 240403 (2005). (Pubitemid 41636453)
49. O. Penrose and L. Onsager, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.104.576 104, 576 (1956).
50. A. J. Leggett, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.307 73, 307 (2001).
51. A. M. Rey, I. I. Satija, and C. W. Clark, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.063610 73, 063610 (2006). (Pubitemid 43876501)
52. K. He, I. I. Satija, C. W. Clark, A. M. Rey, and M. Rigol, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.013617 85, 013617 (2012).
53. N. Nessi and A. Iucci, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84. 063614 84, 063614 (2011).
54. M. Rigol and A. Muramatsu, Mod. Phys. Lett. MPLBET 0217-9849 10.1142/S0217984905008876 19, 861 (2005). (Pubitemid 41407218)
55. M. Rigol, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.063607 72, 063607 (2005). (Pubitemid 41776045)
56. P. Harper, Proc. Phys. Soc. London, Sect. A PPSAAM 0370-1298 10.1088/0370-1298/68/10/304 68, 874 (1955).
57. L. C. Venuti and P. Zanardi, arXiv: 1208.1121.
58. M. Olshanii, arXiv: 1208.0582.