Exact results for quench dynamics and defect production in a two-dimensional model

Physical Review Letters

Volumn 100, Issue 7, 2008, Pages

  Sengupta, K ^a   Sen, Diptiman ^b   Mondal, Shreyoshi ^a  

^a SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DEFECT DENSITY; SCALING LAWS; TWO DIMENSIONAL;

DEFECT PRODUCTION; KITAEV MODEL; MULTISPIN CORRELATION FUNCTIONS; QUENCH DYNAMICS;

MATHEMATICAL MODELS;

EID: 40849136683     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.100.077204     Document Type: Article

References (30)

1. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 1999).
2. T.W.B. Kibble, J. Phys. A JPHAC5 0305-4470 9, 1387 (1976); 10.1088/0305-4470/9/8/029
3. W.H. Zurek, Nature (London) 317, 505 (1985). NATUAS 0028-0836 10.1038/317505a0
4. B. Damski, Phys. Rev. Lett. 95, 035701 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.035701
5. A. Polkovnikov, Phys. Rev. B PRBMDO 0163-1829 72, 161201(R) (2005); 10.1103/PhysRevB.72.161201
6. A. Polkovnikov and V. Gritsev, arXiv:0706.0212.
7. K. Sengupta, S. Powell, and S. Sachdev, Phys. Rev. A 69, 053616 (2004); PLRAAN 1050-2947 10.1103/PhysRevA.69.053616
8. P. Calabrese and J. Cardy, J. Stat. Mech. 1742-5468 (2005) P04010; 10.1088/1742-5468/2005/04/P04010
9. P. Calabrese J. Cardy Phys. Rev. Lett. 96, 136801 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.96.136801
10. J. Dziarmaga, Phys. Rev. Lett. 95, 245701 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.245701
11. J. Dziarmaga Phys. Rev. B PRBMDO 0163-1829 74, 064416 (2006). 10.1103/PhysRevB.74.064416
12. A. Das, Phys. Rev. B PRBMDO 0163-1829 74, 144423 (2006). 10.1103/PhysRevB.74.144423
13. R.W. Cherng and L.S. Levitov, Phys. Rev. A 73, 043614 (2006); PLRAAN 1050-2947 10.1103/PhysRevA.73.043614
14. V. Mukherjee, Phys. Rev. B PRBMDO 0163-1829 76, 174303 (2007). 10.1103/PhysRevB.76.174303
15. B. Damski and W.H. Zurek, Phys. Rev. A 73, 063405 (2006); PLRAAN 1050-2947 10.1103/PhysRevA.73.063405
16. F.M. Cucchietti, Phys. Rev. A 75, 023603 (2007); PLRAAN 1050-2947 10.1103/PhysRevA.75.023603
17. T. Caneva, R. Fazio, and G.E. Santoro, Phys. Rev. B PRBMDO 0163-1829 76, 144427 (2007). 10.1103/PhysRevB.76.144427
18. L.E. Sadler, Nature (London) 443, 312 (2006). NATUAS 0028-0836 10.1038/nature05094
19. A. Kitaev, Ann. Phys. (N.Y.) APNYA6 0003-4916 321, 2 (2006). 10.1016/j.aop.2005.10.005
20. X.-Y. Feng, G.-M. Zhang, and T. Xiang, Phys. Rev. Lett. 98, 087204 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.087204
21. G. Baskaran, S. Mandal, and R. Shankar, Phys. Rev. Lett. 98, 247201 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.247201
22. H.-D. Chen and Z. Nussinov, arXiv:cond-mat/0703633.
23. D.-H. Lee, G.-M. Zhang, and T. Xiang, arXiv:07053499;
24. K.P. Schmidt, S. Dusuel, and J. Vidal, arXiv:07093017.
25. A. Kitaev, Ann. Phys. (N.Y.) APNYA6 0003-4916 303, 2 (2003). 10.1016/S0003-4916(02)00018-0
26. L.-M. Duan, E. Demler, and M.D. Lukin, Phys. Rev. Lett. 91, 090402 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.91.090402
27. A. Micheli, G.K. Brennen, and P. Zoller, Nature Phys. 2, 341 (2006). NPAHAX 1745-2481 10.1038/nphys287
28. See, for example, L. Landau and E.M. Lifshitz, Quantum Mechanics: Non-relativistic Theory (Pergamon Press, Oxford, 1965), 2nd ed.;
29. S. Suzuki and M. Okada, in Quantum Annealing and Related Optimization Methods, edited by, A. Das, and, B.K. Chakrabarti, (Springer-Verlag, Berlin, 2005).
30. E. Altman, E. Demler, and M.D. Lukin, Phys. Rev. A 70, 013603 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.70.013603