Adiabatic multicritical quantum quenches: Continuously varying exponents depending on the direction of quenching

EPL

Volumn 92, Issue 3, 2010, Pages

  Mukherjee, Victor ^a   Dutta, Amit ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79955939524     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/92/37004     Document Type: Article

References (46)

1. Kibble T. W. B. 1976 J. Phys. A 9 1387
2. Kibble T. W. B. 1980 Phys. Rep. 67 183
3. Zurek W. H. 1985 Nature (London) 317 505
4. Zurek W. H. 1996 Phys. Rep. 276 177
5. Zurek W. H., Dorner U. and Zoller P. 2005 Phys. Rev. Lett. 95 105701
6. Polkovnikov A. 2005 Phys. Rev. B 72 161201(R)
7. Sachdev S. 1999 Quantum Phase Transitions (Cambridge: Cambridge University Press)
8. Chakrabarti B. K., Dutta A. and Sen P. 1996 Quantum Ising Phases and Transitions in Transverse Ising Models m41 (Berlin: Springer-Verlag)
9. Damski B. 2005 Phys. Rev. Lett. 95 035701
10. Dziarmaga J. 2005 Phys. Rev. Lett. 95 245701
11. Dziarmaga J., Meisner J. and Zurek W. H. 2008 Phys. Rev. Lett. 101 115701
12. Cherng R. W. and Levitov L. S. 2006 Phys. Rev. A 73 043614
13. Mukherjee V. et al 2007 Phys. Rev. B 76 174303
14. Mukherjee V., Dutta A. and Sen D. 2008 Phys. Rev. B 77 214427
15. Divakaran U., Dutta A. and Sen D. 2010 Phys. Rev. B 81 054306
16. Fubini A., Falci G. and Osterloh A. 2007 New J. Phys. 9 134
17. Polkovnikov A. and Gritsev V. 2008 Nat. Phys. 4 477
18. Patane D. et al 2008 Phys. Rev. Lett 101 175701
19. Bermudez A. et al 2009 Phys. Rev. Lett. 102 135702
20. Sengupta K., Sen D. and Mondal S. 2008 Phys. Rev. Lett. 100 077204
21. Sen D., Sengupta K. and Mondal S. 2008 Phys. Rev. Lett. 101 016806
22. Barankov R. and Polkovnikov A. 2008 Phys. Rev. Lett. 101 076801
23. De Grandi C., Barankov R. A. and Polkovnikov A. 2008 Phys. Rev. Lett. 101 230402
24. Pellegrini F. et al 2008 Phys. Rev. B 77 140404(R)
25. Caneva T., Fazio R. and Santoro G. E. 2007 Phys. Rev. B 76 144427
26. Divakaran U., Dutta A. and Sen D. 2008 Phys. Rev. B 78 144301
27. Deng S., Ortiz G. and Viola L. 2008 EPL 84 67008
28. Dziarmaga J. 2010 Adv. Phys. 59 1063
29. Saddler L. E. et al 2006 Nature (London) 443 312
30. Bloch I., Dalibard J. and Zwerger W. 2008 Rev. Mod. Phys. 80 885
31. Duan L.-M., Demler E. and Lukin M. D. 2003 Phys. Rev. Lett. 91 090402
32. Micheli A., Brennen G. K. and Zoller P. 2006 Nat. Phys. 2 341
33. Kean Loon Lee et al 2009 Phys. Rev. A 80 043411
34. Dutta A., Singh R. R. P. and Divakaran U. 2010 EPL 89 67001
35. Divakaran U., Mukherjee V., Dutta A. and Sen D. 2009 J. Stat. Mech. P02007
36. Lieb E., Schultz T. and Mattis D. 1961 Ann. Phys. (N.Y.) 16 407
37. Zener C. 1932 Proc. R. Soc. London, Ser. A 137 696
38. Landau L. D. and Lifshitz E. M. 1965 Quantum Mechanics: Non-relativistic Theory 2nd edition (Oxford: Pergamon Press)
39. Mondal S., Sengupta K. and Sen D. 2009 Phys. Rev. B 79 045128
40. Deng S., Ortiz G. and Viola L. 2010 Phys. Rev. B 80 241109(R)
41. Dziarmaga J. and Rams M. R. 2010 New J. Phys. 12 103002
42. Barouch E., McCoy B. M. and Dresden M. 1970 Phys. Rev. A 2 1075
43. Bunder J. E. and McKenzie R. H. 1999 Phys. Rev. B 60 344
44. Pfeuty P. 1970 Ann. Phys. 57 79
45. Kogut J. B. 1979 Rev. Mod. Phys. 51 659713
46. Vitanov N. V. 1999 Phys. Rev. A 59 988