Density matrix Loschmidt echo and quantum phase transitions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 3, 2007, Pages

  Li, Yan Chao ^a   Li, Shu Shen ^a  

^a INSTITUTE OF SEMICONDUCTORS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY (SPECIFIC GRAVITY); FERMIONS; ISING MODEL; PHASE TRANSITIONS; QUANTUM THEORY; SPIN DENSITY WAVES;

DENSITY MATRIX LOSCHMIDT ECHO; FERMIONIC SYSTEMS; ONE-DIMENSIONAL EXTENDED HUBBARD MODELS; QUANTUM PHASE TRANSITIONS;

ECHO SUPPRESSION;

EID: 34848843161     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.032117     Document Type: Article

References (30)

1. S. Sachdev, Quantum Phase Transition (Cambridge University Press, Cambridge, UK, 1999).
2. N. D. Mathur, Nature (London) NATUAS 0028-0836 10.1038/27838 394, 39 (1998).
3. A. Osterloh, G. Luigi Amico Falci, and Rosario Fazio, Nature (London) NATUAS 0028-0836 10.1038/416608a 416, 608 (2002).
4. J. van Wezel, J. van den Brink, and J. Zaanen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.230401 94, 230401 (2005).
5. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902 90, 227902 (2003).
6. Ping Lou and Jin Yong Lee, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.134402 74, 134402 (2006).
7. X. F. Qian, T. Shi, Y. Li, Z. Song, and C. P. Sun, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.012333 72, 012333 (2005).
8. S. J. Gu, S. S. Deng, Y. Q. Li, and H. Q. Lin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.086402 93, 086402 (2004).
9. Ö. Legeza and J. Sólyom, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.116401 96, 116401 (2006).
10. Ö. Legeza, K. Buchta, and J. Sólyom, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.165124 73, 165124 (2006).
11. A. C. M. Carollo and J. K. Pachos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.157203 95, 157203 (2005).
12. S. L. Zhu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 077206 96, 077206 (2006).
13. M. Cozzini, R. Ionicioiu, and P. Zanardi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.104420 76, 104420 (2007).
14. P. Zanardi, M. Cozzini, and P. Giorda, e-print arXiv:quant-ph/0606130.
15. M. Cozzini, P. Giorda, and P. Zanardi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.014439 75, 014439 (2007).
16. P. Zanardi, H. T. Quan, X. G. Wang, and C. P. Sun, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.032109 75, 032109 (2007).
17. H. T. Quan, Z. Song, X. F. Liu, P. Zanardi, and C. P. Sun, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.140604 96, 140604 (2006).
18. Z. G. Yuan, P. Zhang, and S. S. Li, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.012102 75, 012102 (2007).
19. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Dordrecht, 1995).
20. Z. P. Karkuszewski, C. Jarzynski, and W. H. Zurek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.170405 89, 170405 (2002)
21. F. M. Cucchietti, D. A. R. Dalvit, J. P. Paz, and W. H. Zurek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.210403 91, 210403 (2003)
22. R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2490 86, 2490 (2001).
23. S. R. White, Density-Matrix Renormalization: A New Numerical Method in Physics (Springer, Berlin, 1999).
24. S. J. Gu, C. P. Sun, and H. Q. Lin, e-print arXiv:quant-ph/0605164.
25. H. Q. Lin, D. K. Campbell, and R. T. Clay, Cain. J. Phys. 38, 1 (2000).
26. X. Wang, Phys. Lett. A 331, 164 (2004). 0375-9601
27. E. Barouch and B. M. McCoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.2.1075 2, 1075 (1970).
28. E. Barouch and B. M. McCoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.786 3, 786 (1971).
29. M. N. Barbar, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, New York, 1983), Vol. 8, p. 145.
30. P. Zabardi and N. Pauković, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.031123 74, 031123 (2006).