Sufficient conditions for positivity of non-Markovian master equations with Hermitian generators

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 1, 2009, Pages

  Wilkie, Joshua ^a   Wong, Yin Mei ^b  

^a SIMON FRASER UNIVERSITY   (Canada)

^b Innovative Stochastic Algorithms ^*  (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 64549108829     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/1/015006     Document Type: Article

References (43)

1. Giulini D, Joos E, Kiefer C, Kupsch J, Stamatescu I-O and Zeh H-D 1996 Decoherence and the Appearance of a Classical World in Quantum Theory (Berlin: Springer)
2. Mensky M B 2000 Quantum Measurement and Decoherence (Netherlands: Kluwer)
3. Ratner M and Ratner D 2003 Nanotechnology (EnglewoodCliffs, NJ: Prentice-Hall)
4. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
5. Shor P W 1994 Proc. of the 35th Symp. on the Foundations of Computer Science (Los Alamitos, CA: IEEE Computer Society Press)
6. Steane A 1998 Rep. Prog. Phys. 61 117
7. Shapiro M and Brumer P 2003 Principles of the Quantum Control of Molecular Processes (Hoboken: Wiley)
8. Whitney R S 2008 J. Phys. A: Math. Theor. 41 175304
9. Budini A A 2007 J. Chem. Phys. 126 054101
10. Breuer H-P 2007 Phys. Rev. A 75 022103
11. Kossakowski A and Rebolledo R 2007 Open Syst. & Inf. Dyn. 14 265
12. Budini A A 2006 Phys. Rev. A 74 053815
13. Neufeld A A 2004 J. Chem. Phys. 121 2542
14. Wilkie J 2001 J. Chem. Phys. 115 10335
15. Wilkie J 2001 J. Chem. Phys. 114 7736
16. Budini A A 2004 Phys. Rev. A 69 042107
17. Wilkie J 2000 Phys. Rev. E 62 8808
18. Barnett S M and Stenholm S 2001 Phys. Rev. A 64 033808
19. Barnett S M and Stenholm S 2000 J. Mod. Opt. 47 2869
20. Gaspard P, Briggs M E, Francis M K, Sengers J V, Gammon R W, Dorfman J R and Calabrese R V 1998 Nature 394 865
21. Miyano T, Munetoh S, Moriguchi K and Shintani A 2001 Phys. Rev. E 64 016202
22. Mucciolo E R, Capaz R B, Altshuler B L and Joannopoulos J D 1994 Phys. Rev. B 50 8245
23. Anastopoulos C and Hu B L 2000 Phys. Rev. A 62 033821
24. Caldeira A O and Leggett A J 1983 Ann. Phys. 149 374
25. Feynman R P and Vernon F L 1963 Ann. Phys. 24 118
26. Haake F and Reibold R 1985 Phys. Rev. A 32 2462
27. Caldeira A O and Leggett A J 1983 Physica A 121 587
28. Diósi L 1996 Quantum Semiclass. Opt. 8 309
29. Strunz W T 1996 Phys. Lett. A 224 25
30. Diósi L and Strunz W T 1997 Phys. Lett. A 235 569
31. Diósi L, Gisin N and Strunz W T 1998 Phys. Rev. A 58 1699
32. Strunz W T, Diósi L and Gisin N 1999 Phys. Rev. Lett. 82 1801
33. Nakajima S 1958 Prog. Theor. Phys. 20 948
34. Zwanzig R 1960 J. Chem. Phys. 33 1338
35. Zwanzig R 1961 Lectures in Theoretical Physics vol 3 (New York: Interscience)
36. Lindblad G 1976 Commun. Math. Phys. 48 119
37. Gorini V, Kossakowski A and Sudarshan E C G 1976 J. Math. Phys. 17 821
38. Alicki R and Lendi K 1987 Quantum Dynamical Semigroups and Applications (Berlin: Springer)
39. Wilkie J and Wong Y M 2008 J. Phys. A: Math. Theor. 41 335005
40. Wilkie J 2003 Phys. Rev. E 68 027701
41. Derrick W R 1984 Complex Analysis and Applications (Belmont, CA: Wadsworth)
42. Bochner S 1959 Lectures on Fourier Integrals (Princeton, NJ: Princeton University Press)
43. Horn R A and Johnson C R 1985 Matrix Analysis (Cambridge: Cambridge University Press)