Quenching through Dirac and semi-Dirac points in optical lattices: Kibble-Zurek scaling for anisotropic quantum critical systems

EPL

Volumn 89, Issue 6, 2010, Pages

  Dutta, Amit ^a   Singh, R R P ^b   Divakaran, Uma ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77956309242     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/89/67001     Document Type: Article

References (59)

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. Damski B. 2005 Phys. Rev. Lett. 95 035701
8. Dziarmaga J. 2005 Phys. Rev. Lett. 95 245701
9. Sachdev S. 1999 Quantum Phase Transitions (Cambridge: Cambridge University Press)
10. Chakrabarti B. K., Dutta A. and Sen P. 1996 Quantum Ising Phases and Transitions in Transverse Ising Models, Vol. m41 (Berlin: Springer-Verlag)
11. Damski B. and Zurek W. H. 2006 Phys. Rev. A 73 063405
12. Cucchietti F. M., Damski B., Dziarmaga J. and Zurek W. H. 2007 Phys. Rev. A 75 023603
13. Dziarmaga J., Meisner J. and Zurek W. H. 2008 Phys. Rev. Lett. 101 115701
14. Cherng R. W. and Levitov L. S. 2006 Phys. Rev. A 73 043614
15. Mukherjee V. et al. 2007 Phys. Rev. B 76 174303
16. Divakaran and Dutta A. 2007 J. Stat. Mech: Theor. Exp. P11001
17. Mukherjee V., Dutta A. and Sen D. 2008 Phys. Rev. B 77 214427
18. Mukherjee V. and Dutta A. 2009 J. Stat. Mech: Theor. Exp. P05005
19. Fubini A., Falci G. and Osterloh A. 2007 New J. Phys 9 134
20. Polkovnikov A. and Gritsev V. 2008 Nat. Phys. 4 477
21. Patane D. et al. 2008 Phys. Rev. Lett. 101 175701
22. Bermudez A. et al. 2009 Phys. Rev. Lett. 102 135702
23. Uhlmann Michael, Schützhold Ralf and Fischer Uwe R. 2010 Phys. Rev. D 81 025017
24. Sengupta K., Sen D. and Mondal S. 2008 Phys. Rev. Lett. 100 077204
25. Sen D., Sengupta K. and Mondal S. 2008 Phys. Rev. Lett. 101 016806
26. Pellegrini F. et al. 2008 Phys. Rev. B 77 140404(R)
27. Divakaran U., Dutta A. and Sen D. 2008 Phys. Rev. B 78 144301
28. Dziarmaga J. 2006 Phys. Rev. B 74 064416
29. Caneva Tommaso, Fazio Rosario and Santoro Giuseppe E. 2007 Phys. Rev. B 76 144427
30. Divakaran U. et al. 2009 J. Stat. Mech: Theor. Exp. P02007
31. Deng S., Ortiz G. and Viola L. 2008 EPL 84 67008
32. Deng Shusa, Ortiz Gerardo and Viola Lorenza 2009 Phys. Rev. B 80 241109(R)
33. Barankov R. and Polkovnikov A. 2008 Phys. Rev. Lett. 101 076801
34. De Grandi C., Barankov R. A. and Polkovnikov A. 2008 Phys. Rev. Lett. 101 230402
35. Dziarmaga J. 2010 arXiv:0912.4034, unpublished
36. Saddler L. E., Higbie J. M., Leslie S. R., Vengalattore M. and Stamper-Kurn D. M. 2006 Nature (London) 443 312
37. Bloch I., Dalibard J. and Zwerger W. 2008 Rev. Mod. Phys. 80 885
38. Duan L.-M., Demler E. and Lukin M. D. 2003 Phys. Rev. Lett. 91 090402
39. Micheli A., Brennen G. K. and Zoller P. 2006 Nat. Phys. 2 341
40. Castro Neto A. H., Guinea F., Peres N. M. R., Novoselov K. S. and Geim A. K. 2009 Rev. Mod. Phys. 81 109
41. Banerjee S., Singh R. R. P., Pardo V. and Picket W. E. 2009 Phys. Rev. Lett. 103 016402
42. Sun K., Yao H., Fradkin E. and Kivelson S. A. 2009 Phys. Rev. Lett. 103 046811
43. Zhu Shi-Liang, Wang Baigeng and Duan L.-M. 2007 Phys. Rev. Lett. 98 260402
44. Semenoff G. W., Semenoff V. and Zhou F. 2008 Phys. Rev. Lett. 101 087204
45. Lee K. L., Gremaud B., Han R., Englert B.-G. and Miniatura C. 2009 Phys. Rev. A 80 043411
46. Dietl P., Piechon F. and Montambaux G. 2008 Phys. Rev. Lett. 100 236405
47. Montambaux G., Piechon F., Fuchs J.-N. and Goerbig M. O. 2009 Phys. Rev. B 80 153412
48. Pardo V. and Pickett W. E. 2009 Phys. Rev. Lett. 102 166803
49. Volovik G. I. 2001 JETP Lett. 73 162
50. Dora Balazs and Roderich Moessner 2009 arXiv:0909.2528
51. Lieb E., Schultz T. and Mattis D. 1961 Ann. Phys. (N.Y.) 16 407
52. Kitaev A 2006 Ann. Phys. (N.Y.) 321 2
53. Zener C. 1932 Proc. R. Soc. London, Ser. A 137 696
54. Landau L. D. and Lifshitz E. M. 1965 Quantum Mechanics: Non-relativistic Theory, 2nd edition (Oxford: Pergamon Press)
55. Kane C. L. and Mele E. J. 2005 Phys. Rev. Lett. 95 146802
56. Bernevig B. A., Hughes T. L. and Zhang S. C. 2006 Science 314 1757
57. Bermudez A., Goldman N., Kubasiak A., Lewenstein M. and Martin-Delgado M. A. 2010 New J. Phys. 12 033041
58. Dutta A., Chakrabarti B. K. and Bhattacharjee J. K. 1997 Phys. Rev. B 55 5619
59. Schroder A. et al. 1998 Phys. Rev. Lett. 80 5623