Non-Markovian generalization of the Lindblad theory of open quantum systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 2, 2007, Pages

  Breuer, Heinz Peter ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; INFORMATION THEORY; MOLECULAR DYNAMICS; OPTIMIZATION; STATISTICAL MECHANICS;

LINDBLAD THEORY; NON-MARKOVIAN GENERALIZATION; PROJECTION SUPEROPERATORS; STATISTICAL CORRELATIONS;

QUANTUM THEORY;

EID: 33847021965     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.022103     Document Type: Article

References (38)

1. H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
2. F. Haake and R. Reibold, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.32.2462 32, 2462 (1985).
3. B. L. Hu, J. P. Paz, and Y. Zhang, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.45.2843 45, 2843 (1992).
4. H. Grabert, P. Schramm, and G.-L. Ingold, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(88)90023-3 168, 115 (1988).
5. P. Štelmachovič and V. Bužek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.062106 64, 062106 (2001);
6. P. Štelmachovič and V. Bužek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.029902 67, 029902 (E) (2003).
7. J. Schliemann, A. Khaetskii, and D. Loss, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/15/50/R01 15, R1809 (2003).
8. J. Gemmer and M. Michel, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10363-0 73, 1 (2006).
9. J. Gemmer, M. Michel, and G. Mahler, Quantum Thermodynamics, Lecture Notes in Physics Vol. 657 (Springer, Berlin, 2004).
10. M. Michel, G. Mahler, and J. Gemmer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.180602 95, 180602 (2005).
11. S. Nakajima, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.20.948 20, 948 (1958).
12. R. Zwanzig, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1731409 33, 1338 (1960).
13. F. Haake, Statistical Treatment of Open Systems, Springer Tracts in Modern Physics Vol. 66 (Springer, Berlin, 1973).
14. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II. Nonequilibrium Statistical Mechanics (Springer, Berlin, 1991).
15. F. Shibata, Y. Takahashi, and N. Hashitsume, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01040100 17, 171 (1977);
16. S. Chaturvedi and F. Shibata, Z. Phys. B ZPBBDJ 0340-224X 10.1007/BF01319852 35, 297 (1979);
17. F. Shibata and T. Arimitsu, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.49.891 49, 891 (1980);
18. C. Uchiyama and F. Shibata, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.2636 60, 2636 (1999);
19. A. Royer, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(03)01052-1 315, 335 (2003);
20. H. P. Breuer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.012106 70, 012106 (2004).
21. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.522979 17, 821 (1976).
22. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
23. H. Spohn, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.52.569 53, 569 (1980).
24. H. P. Breuer, D. Burgarth, and F. Petruccione, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.045323 70, 045323 (2004).
25. M. Esposito and P. Gaspard, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.066112 68, 066112 (2003).
26. M. Esposito and P. Gaspard, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.066113 68, 066113 (2003).
27. A. A. Budini, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.056106 72, 056106 (2005).
28. H. P. Breuer, J. Gemmer, and M. Michel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.016139 73, 016139 (2006).
29. S. M. Barnett and S. Stenholm, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.033808 64, 033808 (2001).
30. A. A. Budini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042107 69, 042107 (2004).
31. A. Shabani and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.020101 71, 020101 (R) (2005).
32. S. Maniscalco and F. Petruccione, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012111 73, 012111 (2006).
33. V. Gorini, A. Frigerio, M. Verri, A. Kossakowski, and E. C. G. Sudarshan, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/0034-4877(78)90050-2 13, 149 (1978).
34. K. Kraus, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(71)90108-4 64, 311 (1971).
35. W. F. Stinespring, Proc. Am. Math. Soc. PAMYAR 0002-9939 10.2307/2032342 6, 211 (1955).
36. G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information (Springer-Verlag, Berlin, 2001).
37. R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.4277 40, 4277 (1989).
38. A. A. Budini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053815 74, 053815 (2006).