Operator correlations and quantum regression theorem in non-Markovian Lindblad rate equations

Journal of Statistical Physics

Volumn 131, Issue 1, 2008, Pages 51-78

  Budini, Adrián A ^a  

^a CENTRO ATÓMICO BARILOCHE   (Argentina)

Author keywords

Non Markovian open quantum system dynamics; Quantum regression theorem

Indexed keywords

EID: 39749149053     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-007-9476-9     Document Type: Article

References (67)

1. Alicki, R., Lendi, K.: Quantum Dynamical Semigroups and Applications. Lecture Notes in Physics, vol. 286. Springer, Berlin (1987)
2. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
3. Blum, K.: Density Matrix Theory and Applications, 2nd edn. Plenum, New York (1996)
4. Carmichael, H.J.: An Open Systems Approach to Quantum Optics. Lecture Notes in Physics, vol. M18. Springer, Berlin (1993)
5. Cohen-Tannoudji, C., Dupont-Roc, J., Grynberg, G.: Atom-Photon Interactions. Wiley, New York (1992)
6. Loudon, R.: The Quantum Theory of Light. Oxford University Press, Oxford (1997)
7. Lax, M.: Phys. Rev. 129, 2342 (1963)
8. Lax, M.: Phys. Rev. 157, 213 (1967)
9. van Kampen, N.G.: Stochastic Processes in Physics and Chemistry, 2nd edn. North-Holland, Amsterdam (1992)
10. Klein, M.J.: Phys. Rev. 97, 1446 (1954)
11. Carmichael, H.J., Walls, D.F.: Z. Phys. B 23, 299 (1976)
12. Walls, D.F., Carmichael, H.J., Gragg, R.F., Schieve, W.C.: Phys. Rev. A 18, 1622 (1978)
13. Agarwal, G.S.: Quantum Statistical Theories of Spontaneous Emission and their Relation to Other Approach. Springer Tracts in Modern Physics, vol. 70. Springer, Berlin (1974)
14. Agarwal, G.S.: Z. Phys. 258, 409 (1973)
15. Agarwal, G.S.: Z. Phys. 258, 401 (1973)
16. Alicki, R.: Rep. Math. Phys. 10, 249 (1976)
17. Kossakowski, A., Frigerio, A., Gorini, V., Verri, M.: Commun. Math. Phys. 57, 97 (1977)
18. Denisov, A., Castro-Beltran, H.M., Carmichael, H.J.: Phys. Rev. Lett. 88, 243601 (2002)
19. Makhlin, Y., Schön, G., Shnirman, A.: Rev. Mod. Phys. 73, 357 (2001)
20. Falci, G., D'Arrigo, A., Mastellone, A., Paladino, E.: Phys. Rev. Lett. 94, 167002 (2005)
21. Saira, O.P., Bergholm, V., Ojanen, T., Möttönen, M.: Phys. Rev. A 75, 012308 (2007)
22. Ankerhold, J., Pechukas, P.: EuroPhys. Lett. 52, 264 (2000)
23. Braggio, A., König, J., Fazio, R.: Phys. Rev. Lett. 96, 026805 (2006)
24. Michler, P., Imamoglu, A., Mason, M.D., Carson, P.J., Strouse, G.F., Buratto, S.K.: Nature 406, 968 (2000)
25. Schlegel, G., Bohnenberger, J., Potapova, I., Mews, A.: Phys. Rev. Lett. 88, 137401 (2002)
26. Brokmann, X., Hermier, J.P., Messin, G., Desbiolles, P., Bouchaud, J.P., Dahan, M.: Phys. Rev. Lett. 90, 120601 (2003)
27. Aquino, G., Palatella, L., Grigolini, P.: Phys. Rev. Lett. 93, 050601 (2004)
28. Budini, A.A.: Phys. Rev. A 73, 061802 (2006)
29. Budini, A.A.: J. Chem. Phys. 126, 054101 (2007)
30. Budini, A.A.: J. Phys. B 40, 2671 (2007)
31. Budini, A.A.: Phys. Rev. A 76, 023825 (2007)
32. John, S.: Phys. Rev. Lett. 58, 2486 (1987)
33. Yablonovitch, E.: Phys. Rev. Lett. 58, 2059 (1987)
34. Lang, G., Paladino, E., Weiss, U.: Phys. Rev. E 58, 4288 (1998)
35. Mo, Y., Xu, R., Cui, P., Yan, Y.: J. Chem. Phys. 122, 084115 (2005)
36. Alonso, D., de Vega, I.: Phys. Rev. Lett. 94, 200403 (2005)
37. Alonso, D., de Vega, I.: Phys. Rev. A 75, 052108 (2007)
38. Alonso, D., de Vega, I.: Phys. Rev. A 73, 022102 (2006)
39. Barnett, S.M., Stenholm, S.: Phys. Rev. A 64, 033808 (2001)
40. Wilkie, J.: Phys. Rev. E 62, 8808 (2000)
41. Wilkie, J.: J. Chem. Phys. 114, 7736 (2001)
42. Wilkie, J.: J. Chem. Phys. 115, 10335 (2001)
43. Budini, A.A.: Phys. Rev. A 69, 042107 (2004)
44. Daffer, S., Wodkiewicz, K., Cresser, J.D., McIver, J.K.: Phys. Rev. A 70, 010304 (2004)
45. Shabani, A., Lidar, D.A.: Phys. Rev. A 71, 020101 (2005)
46. Maniscalco, S.: Phys. Rev. A 75, 062103 (2007)
47. Maniscalco, S.: Phys. Rev. A 72, 024103 (2005)
48. Maniscalco, S., Petruccione, F.: Phys. Rev. A 73, 012111 (2006)
49. Salo, J., Barnett, S.M., Stenholm, S.: Opt. Commun. 259, 772 (2006)
50. Kossakovski, A., Rebolledo, R.: Open Syst. Inf. Dyn. 14, 265 (2007)
51. Budini, A.A., Schomerus, H.: J. Phys. A 38, 9251 (2005)
52. Budini, A.A.: Phys. Rev. A 74, 053815 (2006)
53. Budini, A.A.: Phys. Rev. E 72, 056106 (2005)
54. Alicki, R., Krysewski, S.: Phys. Rev. A 68, 013809 (2003)
55. Blanchard, Ph., Jadczyk, A.: Phys. Lett. A 203, 260 (1995)
56. Esposito, M., Gaspard, P.: Phys. Rev. E 68, 066112 (2003)
57. Esposito, M., Gaspard, P.: Phys. Rev. E 68, 066113 (2003)
58. Breuer, H.P.: Phys. Rev. A 75, 022103 (2007)
59. Breuer, H.P., Gemmer, J., Michel, M.: Phys. Rev. E 73, 016139 (2006)
60. Fischer, J., Breuer, H.P.: Phys. Rev. A 76, 052119 (2007)
61. Ford, G.W., O'Connell, R.F.: Phys. Rev. Lett. 77, 798 (1996)
62. Ford, G.W., O'Connell, R.F.: Opt. Commun. 179, 451 (2000)
63. Ford, G.W., O'Connell, R.F.: Opt. Commun. 179, 477 (2000)
64. Lax, M.: Opt. Commun. 179, 463 (2000)
65. Onsager, L.: Phys. Rev. 37, 405 (1931)
66. O'Connell, R.F.: private communication
67. Messiah, A.: Quantum Mechanics, vol. II. North-Holland, Amsterdam (1970)