Dynamical quantum phase transitions in the transverse-field ising model

Physical Review Letters

Volumn 110, Issue 13, 2013, Pages

  Heyl, M ^a,d   Polkovnikov, A ^b   Kehrein, S ^c  

^a UNIVERSITY OF MUNICH   (Germany)

^b Boston University   (United States)

^c UNIVERSITY OF GÖTTINGEN   (Germany)

^d DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL TEMPERATURES; CRITICAL TIME; DYNAMICAL PHASE TRANSITION; FREE ENERGY DENSITY; QUANTUM PHASE TRANSITIONS; QUANTUM SYSTEM; SUDDEN CHANGE; TRANSVERSE-FIELD ISING MODEL;

FREE ENERGY; PHASE TRANSITIONS; QUANTUM ELECTRONICS; QUANTUM OPTICS;

ISING MODEL;

EID: 84875724381     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.110.135704     Document Type: Article

References (25)

1. M. E. Fisher, in Boulder Lectures in Theoretical Physics (University of Colorado, Boulder, 1965), Vol. 7.
2. A. Polkovnikov, K. Sengupta, A. Silva, and M. Vengalattore, Rev. Mod. Phys. 83, 863 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.863
3. M. Greiner, O. Mandel, T. Esslinger, T. Hänsch, and I. Bloch, Nature (London) 419, 51 (2002). NATUAS 0028-0836 10.1038/nature00968 (Pubitemid 34987866)
4. T. Kinoshita, T. Wenger, and D. Weiss, Nature (London) 440, 900 (2006). NATUAS 0028-0836 10.1038/nature04693
5. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 2011).
6. A. LeClair, G. Mussardo, H. Saleur, and S. Skorik, Nucl. Phys. B453, 581 (1995). NUPBBO 0550-3213 10.1016/0550-3213(95)00435-U
7. J. B. Conway, Functions of One Complex Variable (Springer, New York, 1995).
8. C. Yang and T. Lee, Phys. Rev. 87, 404 (1952). PHRVAO 0031-899X 10.1103/PhysRev.87.404
9. W. van Saarloos and D. Kurtze, J. Phys. A 17, 1301 (1984). JPHAC5 0305-4470 10.1088/0305-4470/17/6/026
10. E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961). APNYA6 0003-4916 10.1016/0003-4916(61)90115-4
11. P. Pfeuty, Ann. Phys. (N.Y.) 57, 79 (1970). APNYA6 0003-4916 10.1016/0003-4916(70)90270-8
12. E. Barouch, B. McCoy, and M. Dresden, Phys. Rev. A 2, 1075 (1970). PLRAAN 0556-2791 10.1103/PhysRevA.2.1075
13. A. Silva, Phys. Rev. Lett. 101, 120603 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.120603
14. F. Pollmann, S. Mukerjee, A. G. Green, and J. E. Moore, Phys. Rev. E 81, 020101(R) (2010). PLEEE8 1539-3755 10.1103/PhysRevE.81.020101
15. M. Kolodrubetz, B. K. Clark, and D. A. Huse, Phys. Rev. Lett. 109, 015701 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.015701
16. H. Touchette, Phys. Rep. 478, 1 (2009). PRPLCM 0370-1573 10.1016/j.physrep.2009.05.002
17. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.110.135704 for details about Loschmidt echoes for symmetry broken initial states and postselection.
18. P. Calabrese, F. Essler, and M. Fagotti, J. Stat. Mech. (2012) P07016. JSMTC6 1742-5468 10.1088/1742-5468/2012/07/P07016
19. E. Barouch and B. McCoy, Phys. Rev. A 3, 786 (1971). PLRAAN 0556-2791 10.1103/PhysRevA.3.786
20. P. Calabrese, F. H. L. Essler, and M. Fagotti, Phys. Rev. Lett. 106, 227203 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.227203
21. D. Schuricht and F. Essler, J. Stat. Mech. (2012) P04017. JSMTC6 1742-5468 10.1088/1742-5468/2012/04/P04017
22. C. Karrasch and D. Schuricht, arXiv:1302.3893.
23. M. Eckstein, M. Kollar, and P. Werner, Phys. Rev. Lett. 103, 056403 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.056403
24. B. Sciolla and G. Biroli, J. Stat. Mech. (2011) P11003. JSMTC6 1742-5468 10.1088/1742-5468/2011/11/P11003
25. J. P. Garrahan and I. Lesanovsky, Phys. Rev. Lett. 104, 160601 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.160601