Quantum master equations for composite systems: Is Born-Markov approximation really valid?

Journal of the Physical Society of Japan

Volumn 79, Issue 8, 2010, Pages

  Nakatani, Masatoshi ^a,b   Ogawa, Tetsuo ^a  

^a OSAKA UNIVERSITY   (Japan)

^b Osaka Prefecture University   (Japan)

Author keywords

Born Markov approximation; Composite system; Inter subsystem coherence; Quantum master equation; Relaxation dynamics

Indexed keywords

EID: 77956448693     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.1143/JPSJ.79.084401     Document Type: Article

References (27)

1. A. Barenco, D. Deutsch, A. Ekert, and R. Jozsa: Phys. Rev. Lett. 74 (1995) 4083.
2. D. Loss and D. P. DiVincenzo: Phys. Rev. A 57 (1998) 120.
3. J. Pachos and H. Walther: Phys. Rev. Lett. 89 (2002) 187903.
4. J. M. Raimond, M. Brune, and S. Haroche: Rev. Mod. Phys. 73 (2001) 565.
5. G. Lindblad: Commun. Math. Phys. 40 (1975) 147.
6. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan: J. Math. Phys. 17 (1976) 821.
7. R. Kubo: J. Phys. Soc. Jpn. 26 (1969) Suppl. 1.
8. D. F. Walls: Z. Phys. 234 (1970) 231.
9. T. Arimitsu, Y. Takahashi, and F. Shibata: Physica A 100 (1980) 507.
10. J. D. Cresser: J. Mod. Opt. 39 (1992) 2187.
11. M. Murao and F. Shibata: Physica A 216 (1995) 255.
12. M. Murao and F. Shibata: Physica A 217 (1995) 348.
13. M. Murao and F. Shibata: in Coherence and Quantum Optics VII, ed. L. Mandel and E. Wolf (Plenum Press, New York, 1996) p. 349.
14. M. Murao and F. Shibata: Physica A 238 (1997) 265.
15. M. Murao: J. Phys. Soc. Jpn. 66 (1997) 2314.
16. H. Zoubi, M. Orenstien, and A. Ron: Phys. Rev. A 62 (2000) 033801.
17. M. Scala, B. Militello, A. Messina, J. Piilo, and S. Maniscalco: Phys. Rev. A 75 (2007) 013811.
18. H. J. Carmichael: Statistical Methods in Quantum Optics 1 (Springer, Berlin, 1999) Chap. 2.
19. S. Nakajima: Prog. Theor. Phys. 20 (1958) 948.
20. R. Zwanzig: J. Chem. Phys. 33 (1960) 1338.
21. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg: Atom-Photon Interactions (Wiley, New York, 1992) Chap. 4.
22. W. J. Munro and C. W. Gardiner: Phys. Rev. A 53 (1996) 2633.
23. H.-P. Breuer and F. Petruccione: The Theory of Open Quantum Systems (Oxford University Press, Oxford, U. K., 2002) Chap. 3.
24. M. A. Nielsen and I. L. Chuang: Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U. K., 2000) Chap. 9.
25. F. Shibata, Y. Takahashi, and N. Hashitsume: J. Stat. Phys. 17 (1977) 171.
26. S. Chaturvedi and F. Shibata: Z. Phys. B 35 (1979) 297.
27. F. Shibata and T. Arimitsu: J. Phys. Soc. Jpn. 49 (1980) 891.