Exact results for the criticality of quench dynamics in quantum Ising models

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 5, 2009, Pages

  Li, Ying ^a   Huo, Mingxia ^a   Song, Zhi ^a  

^a NANKAI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70249107448     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.054404     Document Type: Article

References (22)

1. S. Sachdev, Quantum Phase Transition (Cambridge University Press, Cambridge, 1999).
2. M. A. Continentino, Quantum Scaling in Many-Body Systems (World Scientific, Singapore, 2001).
3. A. Kopp and S. Chakravarty, Nat. Phys. 1, 53 (2005) 10.1038/nphys105
4. Z. H. Yang, L. P. Yang, J. H. Dai, and T. Xiang, Phys. Rev. Lett. 100, 067203 (2008). 10.1103/PhysRevLett.100.067203
5. W. H. Zurek, U. Dorner, and P. Zoller, Phys. Rev. Lett. 95, 105701 (2005) 10.1103/PhysRevLett.95.105701
6. L. Cincio, J. Dziarmaga, M. M. Rams, and W. H. Zurek, Phys. Rev. A 75, 052321 (2007). 10.1103/PhysRevA.75.052321
7. J. Dziarmaga, Phys. Rev. Lett. 95, 245701 (2005). 10.1103/PhysRevLett.95. 245701
8. K. Sengupta, D. Sen, and S. Mondal, Phys. Rev. Lett. 100, 077204 (2008). 10.1103/PhysRevLett.100.077204
9. A. Polkovnikov, Phys. Rev. B 72, 161201 (R) (2005). 10.1103/PhysRevB.72. 161201
10. M. Greiner, O. Mandel, T. W. Hänsch, and I. Bloch, Nature (London) 419, 51 (2002). 10.1038/nature00968
11. L. E. Sadler, J. M. Higbie, S. R. Leslie, M. Vengalattore, and D. M. Stamper-Kurn, Nature (London) 443, 312 (2006). 10.1038/nature05094
12. K. Sengupta, S. Powell, and S. Sachdev, Phys. Rev. A 69, 053616 (2004). 10.1103/PhysRevA.69.053616
13. A. Silva, Phys. Rev. Lett. 101, 120603 (2008). 10.1103/PhysRevLett.101. 120603
14. S. L. Zhu, Phys. Rev. Lett. 96, 077206 (2006). 10.1103/PhysRevLett.96. 077206
15. H. T. Quan, Z. Song, X. F. Liu, P. Zanardi, and C. P. Sun, Phys. Rev. Lett. 96, 140604 (2006). 10.1103/PhysRevLett.96.140604
16. T. Barthel and U. Schollwöck, Phys. Rev. Lett. 100, 100601 (2008) 10.1103/PhysRevLett.100.100601
17. M. Rigol, V. Dunjko, and M. Olshanii, Nature (London) 452, 854 (2008). 10.1038/nature06838
18. P. Pfeuty, Ann. Phys. (N.Y.) 57, 79 (1970). 10.1016/0003-4916(70)90270-8
19. The integral in Eq. 6 can be written as a circular integral in a complex plane via the transformation z= eik. For Λf > Λi, there is a branch cut along the real axis from 0 to Λi. For Λf < Λi, besides the branch cut, there is an isolated singularity at z= Λf.
20. M. N. Barber, in Phase Transition and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, New York, 1983), Vol. 8, p. P145.
21. S. J. Gu, H. M. Kwok, W. Q. Ning, and H. Q. Lin, Phys. Rev. B 77, 245109 (2008). 10.1103/PhysRevB.77.245109
22. S. Chen, L. Wang, Y. J. Hao, and Y. P. Wang, Phys. Rev. A 77, 032111 (2008). 10.1103/PhysRevA.77.032111