Non-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging

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

Volumn 73, Issue 1, 2006, Pages

  Breuer, Heinz Peter ^a   Gemmer, Jochen ^b   Michel, Mathias ^c  

^a UNIVERSITY OF FREIBURG   (Germany)

^b UNIVERSITY OF OSNABRÜCK   (Germany)

^c UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MARKOV PROCESSES; NONLINEAR EQUATIONS; OPEN SYSTEMS;

PROJECTION SUPEROPERATORS; QUANTUM DYANAMICS; TIME-CONVOLUTIONLESS (TCL) PROJECTION OPERATOR TECHNIQUE;

QUANTUM THEORY;

EID: 32844458905     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.016139     Document Type: Article

References (45)

1. H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
2. D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994).
3. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1999).
4. Quantum Dynamics of Open Systems, edited by, P. Pechukas, and, U. Weiss, Chem. Phys. CMPHC2 0301-0104, Special Issue, 268 (1-3), (2001).
5. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
6. Semiconductor Spintronics and Quantum Computation, edited by, D. D. Awschalom, D. Loss, and N. Samarth, Series on Nanoscience and Technology (Springer-Verlag, Berlin, 2002).
7. V. B. Braginsky and F. Ya. Khalili, Quantum Measurement (Cambridge University Press, Cambridge, England, 1992).
8. D. Giulini, E. Joos, C. Kiefer, J. Kupsch, I. -O. Stamatescu, and H. D. Zeh, Decoherence and the Appearance of a Classical World in Quantum Theory, 2nd ed. (Springer-Verlag, Berlin, 2003).
9. J. Gemmer, M. Michel, and G. Mahler, Quantum Thermodynamics, Lecture Notes in Physics Vol. 657 (Springer-Verlag, Berlin, 2004).
10. J. Gemmer, A. Otte, and G. Mahler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1927 86, 1927 (2001).
11. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.522979 17, 821 (1976).
12. 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).
13. H. Spohn, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.52.569 53, 569 (1980).
14. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
15. S. Nakajima, Prog. Theor. Phys. PTPKAV 0033-068X 20, 948 (1958).
16. R. Zwanzig, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1731409 33, 1338 (1960).
17. H. Grabert, Projection Operator Techniques in Nonequilibrium Statistical Mechanics, Springer Tracts in Modern Physics Vol. 95 (Springer-Verlag, Berlin, 1982).
18. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II. Nonequilibrium Statistical Mechanics (Springer-Verlag, Berlin, 1991).
19. F. Shibata, Y. Takahashi, and N. Hashitsume, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01040100 17, 171 (1977).
20. S. Chaturvedi and F. Shibata, Z. Phys. B ZPBBDJ 0340-224X 10.1007/BF01319852 35, 297 (1979).
21. F. Shibata and T. Arimitsu, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.49.891 49, 891 (1980).
22. C. Uchiyama and F. Shibata, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.2636 60, 2636 (1999).
23. A. Royer, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(03)01052-1 315, 335 (2003).
24. T. -M. Chang and J. L. Skinner, Physica A PHYADX 0378-4371 10.1016/0378-4371(93)90489-Q 193, 483 (1993).
25. L. D. Blanga and M. A. Despósito, Physica A PHYADX 0378-4371 10.1016/0378-4371(95)00472-6 227, 248 (1996).
26. H. P. Breuer, B. Kappler, and F. Petruccione, Ann. Phys. ANPYA2 0003-3804 291, 36 (2001).
27. H. P. Breuer, D. Faller, B. Kappler, and F. Petruccione, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2001-00222-0 54, 14 (2001).
28. H. P. Breuer, B. Kappler, and F. Petruccione, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.1633 59, 1633 (1999).
29. A. Shabani and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.020101 71, 020101 (R) (2005).
30. R. Kubo, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703941 4, 174 (1963).
31. A. Royer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.6.1741 6, 1741 (1972).
32. N. G. van Kampen, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(74)90121-9 74, 215 (1974).
33. N. G. van Kampen, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(74)90122-0 74, 239 (1974).
34. M. Esposito and P. Gaspard, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.066112 68, 066112 (2003).
35. B. M. Garraway, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.2290 55, 2290 (1997).
36. B. M. Garraway, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.4636 55, 4636 (1997).
37. A. Imamoglu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.50.3650 50, 3650 (1994).
38. H. P. Breuer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.012106 70, 012106 (2004).
39. A. A. Budini, e-print quant-ph/0510085.
40. J. Gemmer and M. Michel, Europhys. Lett. EULEEJ 0295-5075 73, 1 (2006).
41. J. Gemmer and M. Michel, Physica E (Amsterdam) PELNFM 1386-9477 10.1016/j.physe.2005.05.011 29, 136 (2005).
42. 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).
43. R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.4277 40, 4277 (1989).
44. J. Gemmer and G. Mahler, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00029-3 31, 249 (2003).
45. H. P. Breuer, D. Burgarth, and F. Petruccione, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.045323 70, 045323 (2004).