A quantum central limit theorem for non-equilibrium systems: Exact local relaxation of correlated states

New Journal of Physics

Volumn 12, Issue , 2010, Pages

  Cramer, M ^a,b   Eisert, J ^b,c,d  

^a UNIVERSITY OF ULM   (Germany)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

^c UNIVERSITY OF POTSDAM   (Germany)

^d Institute for Advanced Study Berlin   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CENTRAL LIMIT THEOREM; CHARACTERISTIC FUNCTIONS; CLOSED QUANTUM SYSTEM; CONCENTRATION OF MEASURE; GAUSSIAN STATE; GAUSSIANS; INITIAL STATE; LARGE CLASS; LOCAL RELAXATION; MAXIMUM ENTROPY; NON-COMMUTATIVE; NON-EQUILIBRIUM DYNAMICS; NONEQUILIBRIUM SYSTEM; ONE-DIMENSIONAL LATTICE; QUANTUM MANY-BODY SYSTEMS; SECOND MOMENTS;

QUANTUM ELECTRONICS; QUANTUM OPTICS; RANDOM VARIABLES;

THEOREM PROVING;

EID: 77953065401     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/12/5/055020     Document Type: Article

References (31)

1. Lanford O E III and Robinson D W 1972 Commun. Math. Phys. 24 193
2. Dudnikova T V, Komech A I and Spohn H 2003 J. Math. Phys. 44 2596
3. Dudnikova T V and Spohn H 2006 Markov Process. Relat. Fields 12 645
4. McCoy B M and Barouch E 1971 Phys. Rev. A 3 786
5. Tegmark M and Yeh L 1994 Physica A 202 342
6. Barthel T and Schollwöck U 2008 Phys. Rev. Lett. 100 100601
7. Cramer M, Dawson C M, Eisert J and Osborne T J 2008 Phys. Rev. Lett. 100 030602
8. Calabrese P and Cardy J 2006 Phys. Rev. Lett. 96 136801
9. Sengupta K, Powell S and Sachdev S 2004 Phys. Rev. A 69 053616
10. Möckel M and Kehrein S 2008 Phys. Rev. Lett. 100 175702
11. Kollath C, Läuchli A M and Altaian E 2007 Phys. Rev. Lett. 98 180601
12. Flesch A, Cramer M, McCulloch I P, Schollwöck U and Eisert J 2008 Phys. Rev. A 78 033608
13. Barmettler P, Rey A M, Dernier E A, Lukin M D, Bloch I and Gritsev V 2008 Phys. Rev. A 78 012330
14. Rigol M, Dunjko V, Yurovsky V and Olshanii M 2007 Phys. Rev. Lett. 98 050405
15. Cramer M and Eisert J L in preparation
16. Guetschow J, Uphoff S, Werner R F and Zimboras Z 2010 J. Math. Phys. 51 015203
17. Goldstein S, Lebowitz J L, Tumulka R and Zanghi N 2006 Phys. Rev. Lett. 96 050403
18. Popescu S, Short A J and Winter A 2006 Nat. Phys. 2 754
19. Reimann P 2008 Phys. Rev. Lett. 101 190403
20. Lieb E H and Robinson D W 1972 Commun. Math. Phys. 28 251
21. Nachtergaele B, Ogata Y and Sims R 2006 J. Stat. Phys. 124 1
22. Hastings M B and Koma T 2006 Commun. Math. Phys. 265 781
23. Eisert J, Kramer M and Plenio M B 2010 Rev. Mod. Phys. 82 277
24. Cramer M, Serafim A and Eisert J 2008 Quantum Information and Many Body Quantum Systems (Publications of the Scuola Normale Superiore. CRM Series 8) ed M Ericsson and S Montangero (Pisa: Edizioni della Normale) pp 51-72
25. Nachtergaele B, Raz H, Schlein B and Sims R 2007 arXiv:0712.3820
26. Wolf M M, Giedke G and Cirac J I 2006 Phys. Rev. Lett. 96 080502
27. Cushen C D and Hudson R L 1971 J. Appl. Probab. 8 454
28. Davies E B 1972 Commun. Math. Phys. 15 277
29. Davies E B 1972 Commun. Math. Phys. 27 309
30. Winter A 1999 IEEE Trans. Inform. Theory IT 45 2481
31. Landau L 2000 Electron. J. Diff. Eqns, Conf. 04 147