Non-Markovian dynamics of quantum systems. I. Formalism and transport coefficients

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

Volumn 71, Issue 1, 2005, Pages

  Kanokov, Z ^a,b   Palchikov, Yu V ^a   Adamian, G G ^a,c   Antonenko, N V ^a   Scheid, W ^d  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

^b NATIONAL UNIVERSITY OF UZBEKISTAN   (Uzbekistan)

^c INSTITUTE OF NUCLEAR PHYSICS   (Uzbekistan)

^d JUSTUS LIEBIG UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

HARMONIC OSCILLATORS; NON-MARKOVIAN DYNAMICS; QUANTUM SYSTEMS; TRANSPORT COEFFICIENTS;

DEGREES OF FREEDOM (MECHANICS); DIFFUSION; DYNAMICS; HARMONIC ANALYSIS; INTEGRAL EQUATIONS; MARKOV PROCESSES; MATHEMATICAL MODELS; OSCILLATORS (MECHANICAL); TRANSPORT PROPERTIES;

QUANTUM THEORY;

EID: 41349122627     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.016121     Document Type: Article

References (32)

1. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).
2. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983); Ann. Phys. (N.Y.) 149, 374 (1983).
3. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983); Ann. Phys. (N.Y.) 149, 374 (1983).
4. C. W. Gardiner, Quantum Noise (Springer, Berlin, 1991).
5. H. J. Carmichael, An Open System Approach to Quantum Optics (Springer, Berlin, 1993).
6. Yu. L. Klimontovich, Statistical Theory of Open Systems (Kluwer Academic, Dordrecht, 1995).
7. D. Zubarev, V. Morozov, and G. Röpke, Statistical Mechanics of Nonequilibrium Processes (Akademic Verlag, Berlin, 1997), Vol. II, p. 52.
8. U. Weiss, Quantum Dissipative Systems (Wold Scientific, Singapore, 1999).
9. V. V. Dodonov, O. V. Man'ko, and V. I. Man'ko, J. Russ. Laser Res. 16, 1 (1995).
10. K. Lindenberg and B. J. West, Phys. Rev, A 30, 568 (1984).
11. F. Haake and R. Reibold, Phys. Rev. A 32, 2462 (1985).
12. P. Schramm, R. Jung, and H. Graben, Phys. Lett. 107A, 385 (1985).
13. P. Talkner, Ann. Phys. (N.Y.) 167, 390 (1986).
14. H. Grabert, P. Schramm, and G.-L. Ingold, Phys. Rep. 168, 115 (1988).
15. B. L. Hu, J. P. Paz, and Y. Zhang, Phys. Rev. D 45, 2843 (1992).
16. R. Karrlein and H. Graben, Phys. Rev. E 55, 153 (1997).
17. V. G. Zelevinsky (unpublished).
18. R. V. Jolos, S. P. Ivanova, and V. V. Ivanov, Sov. J. Nucl. Phys. 40, 117 (1984).
19. S. P. Ivanova and R. V. Joios, Nucl. Phys. A 530, 232 (1991).
20. P. Allegrini, G. Aquino, P. Grigolini, L. Palatella, and A. Rosa, Phys. Rev. E 68, 056123 (2003).
21. G. G. Adamian, N. V. Antonenko, and W. Scheid, Phys. Lett. A 244, 482 (1998); 260, 39 (1999).
22. G. G. Adamian, N. V. Antonenko, and W. Scheid, Phys. Lett. A 244, 482 (1998); 260, 39 (1999).
23. Yu. V. Palchikov, G. G. Adamian, N. V. Antonenko, and W. Scheid, J. Phys. A 33 4265 (2000); Physica A 316, 297 (2002).
24. Yu. V. Palchikov, G. G. Adamian, N. V. Antonenko, and W. Scheid, J. Phys. A 33 4265 (2000); Physica A 316, 297 (2002).
25. G. Lindblad, Commun. Math. Phys. 48, 119 (1976); Rep. Math. Phys. 10, 393 (1976).
26. G. Lindblad, Commun. Math. Phys. 48, 119 (1976); Rep. Math. Phys. 10, 393 (1976).
27. H. Dekker, Phys. Rep. 80, 1 (1981).
28. V. V. Dodonov and V. I. Man'ko, Rep. Phys. Inst. 167, 7 (1986).
29. A. Isar, A. Sandulescu, H. Scutaru, E. Stefanescu, and W. Scheid, Int. J. Mod. Phys. E 3, 635 (1994).
30. J. Ankerhold, P. Pechukas, and H. Grabert, Phys. Rev. Lett. 87, 086802 (2001).
31. S. A. Adelman, J. Chem. Phys. 64, 124 (1976).
32. H. Haken, Rev. Mod. Phys. 47, 67 (1975).