Macroscopic distinguishability between quantum states defining different phases of matter: Fidelity and the Uhlmann geometric phase

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 1, 2008, Pages

  Paunković, Nikola ^a   Rocha Vieira, Vitor ^b  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^b UNIVERSITY OF LISBON   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTRON TRANSITIONS; HAMILTONIANS; PHASE TRANSITIONS; SPECIFIC HEAT; SUPERCONDUCTIVITY;

QUANTUM PHASE TRANSITIONS (QPTS); QUANTUM STATES; THERMAL PHASE TRANSITIONS (PTS); UHLMANN GEOMETRIC PHASES;

QUANTUM THEORY;

EID: 38849147675     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.011129     Document Type: Article

References (32)

1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000).
2. W. K. Wootters, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.23.357 23, 357 (1981).
3. C. A. Fuchs, Ph.D. thesis, e-print arXiv:quant-ph/9601020.
4. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, UK, 1999).
5. P. Zanardi and N. Paunković, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.031123 74, 031123 (2006).
6. P. Zanardi, M. Cozzini, and P. Giorda, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2007), L02002;
7. M. Cozzini, P. Giorda, and P. Zanardi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.014439 75, 014439 (2007).
8. P. Buonsante and A. Vezzani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.110601 98, 110601 (2007).
9. H.-Q. Zhou and J. P. Barjaktarevič, e-print arXiv:cond-mat/ 0701608.
10. H.-Q. Zhou, J.-H. Zhao, and B. Li, e-print arXiv:0704.2940;
11. H.-Q. Zhou, e-print arXiv:0704.2945.
12. M. Cozzini, R. Ionicioiu, and P. Zanardi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.104420 76, 104420 (2007).
13. A. Hamma, W. Zhang, S. Haas, and D. A. Lidar, e-print arXiv:0705.0026.
14. S.-J. Gu, H.-M. Kwok, W.-Q. Ning, and H.-Q. Lin, e-print arXiv:0706.2495.
15. P. Zanardi, P. Giorda, and M. Cozzini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.100603 99, 100603 (2007).
16. L. C. Venuti and P. Zanardi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.095701 99, 095701 (2007).
17. A. C. M. Carollo and J. K. Pachos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.157203 95, 157203 (2005);
18. S.-L. Zhu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 077206 96, 077206 (2006);
19. A. Hamma, e-print arXiv:quant-ph/0602091;
20. M. E. Reuter, M. J. Hartmann, and M. B. Plenio, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.2007.1822 463, 1271 (2007).
21. S. Chen, L. Wang, S.-J. Gu, and Y. Wang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.061108 76, 061108 (2007).
22. P. Zanardi, H. T. Quan, X. Wang, and C. P. Sun, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.032109 75, 032109 (2007);
23. P. Zanardi, L. C. Venuti, and P. Giorda, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.062318 76, 062318 (2007).
24. W.-L. You, Y.-W. Li, and S.-J. Gu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.022101 76, 022101 (2007).
25. A. Uhlmann, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/0034-4877(86)90055- 8 24, 229 (1986).
26. S. Doniach and E. H. Sondheimer, Green's Functions for Solid State Physicists (Imperial College Press, London, 1998).
27. H.-Q. Zhou, R. Orus, and G. Vidal, e-print arXiv:0709.4596.
28. Argonne National Laboratory Research Library, http://www.library.anl.gov/
29. P. Cejnar and J. Jolie, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.6237 61, 6237 (2000);
30. P. Cejnar, V. Zelevinsky, and V. V. Sokolov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.036127 63, 036127 (2001).
31. M. Hiller, T. Kottos, and T. Geisel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.061604 73, 061604 (R) (2006).
32. J. Tidström and E. Sjöqvist, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.032110 67, 032110 (2003).