Decay of Loschmidt echo enhanced by quantum criticality

Physical Review Letters

Volumn 96, Issue 14, 2006, Pages

  Quan, H T ^a   Song, Z ^b   Liu, X F ^c   Zanardi, P ^d   Sun, C P ^a,b  

^a INSTITUTE OF THEORETICAL PHYSICS   (China)

^b NANKAI UNIVERSITY   (China)

^c PEKING UNIVERSITY   (China)

^d ISI FOUNDATION   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

LOSCHMIDT ECHO (LE); OFF-DIAGONAL ELEMENTS; QUANTUM CRITICALITY; TRANSVERSE FIELD;

MATHEMATICAL MODELS; MATRIX ALGEBRA; PHASE TRANSITIONS;

QUANTUM THEORY;

EID: 33645813835     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.96.140604     Document Type: Article

References (27)

1. E. Joos, H.D. Zeh, C. Kiefer, D. Giulini, J. Kupsch, and I.-O Stamatescu, Decoherence and the Appearance of a Classical World in Quantum Theory (Springer, Berlin, 2003), 2nd ed.
2. W.H. Zurek, Phys. Today 44, No. 10, 36 (1991); PHTOAD 0031-9228
3. S. Haroche, Phys. Today 51, No. 7, 36 (1998). PHTOAD 0031-9228
4. K. Hepp, Helv. Phys. Acta HPACAK 0018-0238 45, 237 (1972).
5. J.S. Bell, Helv. Phys. Acta HPACAK 0018-0238 48, 93 (1975).
6. H. Nakazato and S. Pascazio, Phys. Rev. Lett. 70, 1 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.70.1
7. M. Cini, Nuovo Cimento B 73, 27 (1983). NUCIAD 0029-6341
8. C.P. Sun, Phys. Rev. A 48, 898 (1993); PLRAAN 1050-2947 10.1103/PhysRevA.48.898
9. C.P. Sun in Quantum-Classical Correspondence, edited by, D.H. Feng, and, B.L. Hu, (International, Boston, 1994), p. 99;
10. C.P. Sun in Quantum Coherence and Decoherence, edited by, K. Fujikawa, and, Y.A. Ono, (Elsevier, Amsterdam, 1996), p. 331;
11. C.P. Sun, X.X. Yi, and X.J. Liu, Fortschr. Phys. 43, 585 (1995). FPYKA6 0015-8208
12. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Dordrecht, 1995).
13. Z.P. Karkuszewski, C. Jarzynski, and W.H. Zurek, Phys. Rev. Lett. 89, 170405 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.89.170405
14. F.M. Cucchietti, D.A.R. Dalvit, J.P. Paz, and W.H. Zurek, Phys. Rev. Lett. 91, 210403 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.91.210403
15. R.A.Jalabert and H.M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.2490
16. S. Sachdev, Quantum Phase Transition (Cambridge University Press, Cambridge, England, 1999).
17. C. Emary and T. Brandes, Phys. Rev. Lett. 90, 044101 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.044101
18. P. Zhang, X.F. Liu, and C.P. Sun, Phys. Rev. A 66, 042104 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.66.042104
19. W.H. Zurek, U. Dorner, and P. Zoller, Phys. Rev. Lett. 95, 105701 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.105701
20. P. Pfeuty, Phys. Lett. A 72, 245 (1979). PYLAAG 0375-9601 10.1016/0375-9601(79)90017-3
21. C.P. Sun, H. Zhan, and X.F. Liu, Phys. Rev. A 58, 1810 (1998). PLRAAN 1050-2947 10.1103/PhysRevA.58.1810
22. G. Vidal, J.I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902
23. F. Verstraete, S. Guha, S. Lloyd, L. Maccone, J.H. Shapiro, and H.P. Yuen, Phys. Rev. Lett. 92, 027901 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett. 92.027901
24. L.-A. Wu, M.S. Sarandy, and D.A. Lidar, Phys. Rev. Lett. 93, 250404 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.250404
25. S.-J. Gu, S.-S. Deng, Y.-Q. Li, and H.-Q. Lin, Phys. Rev. Lett. 93, 086402 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.086402
26. Y. Chen, P. Zanardi, Z.D. Wang, and F.C. Zhang, quant-ph/0407228;
27. X.-F. Qian, T. Shi, Y. Li, Z. Song, and C.P. Sun, Phys. Rev. A 72, 012333 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.72.012333