Defect generation in a spin- 1 2 transverse XY chain under repeated quenching of the transverse field

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 21, 2008, Pages

  Mukherjee, Victor ^a   Dutta, Amit ^a   Sen, Diptiman ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 45749084111     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.214427     Document Type: Article

References (47)

1. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
2. B. K. Chakrabarti, A. Dutta, and P. Sen, Quantum Ising Phases and Transitions in Transverse Ising Models (Springer-Verlag, Berlin, 1996), Vol. m 41.
3. T. W. B. Kibble, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/9/8/029 9, 1387 (1976)
4. W. H. Zurek, Nature (London) NATUAS 0028-0836 10.1038/317505a0 317, 505 (1985)
5. W. H. Zurek, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(96)00009-9 276, 177 (1996).
6. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002)
7. T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.130403 92, 130403 (2004)
8. V. M. H. Ruutu, V. B. Eltsov, A. J. Gill, T. W. B. Kibble, M. Krusius, Yu. G. Makhlin, B. Placais, G. E. Volovik, and Wen Xu, Nature (London) NATUAS 0028-0836 10.1038/382334a0 382, 334 (1996);
9. C. Bäuerle, Yu. M. Bunkov, S. N. Fisher, H. Godfrin, and G. R. Pickett, Nature (London) NATUAS 0028-0836 10.1038/382332a0 382, 332 (1996)
10. R. Carmi, E. Polturak, and G. Koren, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.4966 84, 4966 (2000).
11. T. Kadowaki and H. Nishimori, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.5355 58, 5355 (1998)
12. K. Sengupta, S. Powell, and S. Sachdev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.053616 69, 053616 (2004)
13. P. Calabrese and J. Cardy, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2005) P04010
14. A. Das, K. Sengupta, D. Sen, and B. K. Chakrabarti, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.144423 74, 144423 (2006).
15. W. H. Zurek, U. Dorner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.105701 95, 105701 (2005)
16. J. Dziarmaga, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 245701 95, 245701 (2005)
17. B. Damski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 035701 95, 035701 (2005)
18. A. Polkovnikov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.161201 72, 161201 (R) (2005)
19. B. Damski and W. H. Zurek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.063405 73, 063405 (2006)
20. F. M. Cucchietti, B. Damski, J. Dziarmaga, and W. H. Zurek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.023603 75, 023603 (2007)
21. R. Schützhold, M. Uhlmann, Y. Xu, and U. R. Fischer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.200601 97, 200601 (2006)
22. C. De Grandi, R. A. Barankov, and A. Polkovnikov, arXiv:0804.4003 (unpublished)
23. D. Patane, A. Silva, L. Amico, R. Fazio, and G. E. Santoro, arXiv:0805.0586 (unpublished)
24. J. Dziarmaga, J. Meisner, and W. H. Zurek, arXiv:0805.1025 (unpublished).
25. R. W. Cherng and L. S. Levitov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.043614 73, 043614 (2006).
26. V. Mukherjee, U. Divakaran, A. Dutta, and D. Sen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.174303 76, 174303 (2007)
27. U. Divakaran and A. Dutta, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2007) P11001.
28. J. Dziarmaga, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.064416 74, 064416 (2006)
29. T. Caneva, R. Fazio, and G. E. Santoro, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.144427 76, 144427 (2007).
30. A. Polkovnikov and V. Gritsev, Nat. Phys. ZZZZZZ 1745-2473 4, 477 (2008)
31. F. Pellegrini, S. Montangero, G. E. Santoro, and R. Fazio, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.77.140404 77, 140404 (R) (2008).
32. D. Sen, K. Sengupta, and S. Mondal, arXiv:0803.2081, Phys. Rev. Lett. (to be published)
33. R. Barankov and A. Polkovnikov, arXiv:0804.2894 (unpublished).
34. K. Sengupta, D. Sen, and S. Mondal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.077204 100, 077204 (2008)
35. S. Mondal, D. Sen, and K. Sengupta, arXiv:0802.3986, Phys. Rev. B (to be published).
36. E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(61)90115-4 16, 407 (1961).
37. J. B. Kogut, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.51.659 51, 659 (1979).
38. J. E. Bunder and R. H. McKenzie, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.344 60, 344 (1999)
39. E. Barouch and B. M. McCoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.786 3, 786 (1971).
40. C. Zener, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 10.1098/rspa.1932.0165 137, 696 (1932)
41. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, 2nd ed. (Pergamon, Oxford, 1965).
42. S. Suzuki and M. Okada, in Quantum Annealing and Related Optimization Methods, edited by, A. Das, and, B. K. Chakrabarti, (Springer-Verlag, Berlin, 2005), p. 185.
43. E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, 4th ed. (Cambridge University Press, Cambridge, 1958), p. 343.
44. L.-M. Duan, E. Demler, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.090402 91, 090402 (2003)
45. A. Micheli, G. K. Brennen, and P. Zoller, Nat. Phys. ZZZZZZ 1745-2473 2, 341 (2006).
46. W. Wernsdorfer and R. Sessoli, Science SCIEAS 0036-8075 10.1126/science.284.5411.133 284, 133 (1999).
47. L. E. Sadler, J. M. Higbie, S. R. Leslie, M. Vengalattore, and D. M. Stamper-Kurn, Nature (London) NATUAS 0028-0836 10.1038/nature05094 443, 312 (2006).