Is the dynamics of open quantum systems always linear?

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 69, Issue 5 A, 2004, Pages

  Romero, Karen M Fonseca ^a,b   Talkner, Peter ^a   Hänggi, Peter ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

^b UNIVERSIDAD NACIONAL DE COLOMBIA   (Colombia)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; HAMILTONIANS; MARKOV PROCESSES; MATHEMATICAL MODELS; MATRIX ALGEBRA; NANOTECHNOLOGY; NONLINEAR EQUATIONS; STATISTICAL MECHANICS;

DENSITY MATRICES; MARKOVIAN DYNAMICS; OPEN QUANTUM SYSTEMS;

QUANTUM THEORY;

EID: 3042815645     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.69.052109     Document Type: Article

References (35)

1. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1999).
2. W. Pauli, Probleme der Modernen Physik, edited by P. Debye (Hirzel Verlag, Leipzig, 1928), p. 30.
3. L. van Hove, Physica (Amsterdam) 23, 441 (1957).
4. F. Haake, in Springer Tracts in Modern Physics, Vol. 66 (Springer, Berlin 1974), p. 98.
5. K. Blum, Density Matrix Theory and Applications, 2nd ed. (Plenum, New York, 1996).
6. V. May and O. Kühn, Charge and Energy Transfer Dynamics in Molecular Systems (Wiley-VCH Verlag, Berlin, 2003).
7. Processes in Molecular Wires, Chem. Phys. 281, 111 (2002), edited by P. Hänggi, M. Ratner, and S. Yalriki.
8. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
9. E. C. G. Sudarshan, P. M. Mathews, and J. Rau, Phys. Rev. 121, 920 (1961).
10. P. Pechukas, Phys. Rev. Lett. 73, 1060 (1994).
11. P. Pechukas, Phys. Rev. Lett. 75, 3021 (1995).
12. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. 17, 821 (1976).
13. G. Lindblad, Rep. Math. Phys. 10, 393 (1976).
14. H. Grabert, U. Weiss, and P. Talkner, Z. Phys. B: Condens. Matter 55, 87 (1984).
15. P. S. Riseborough, P. Hänggi, and U. Weiss, Phys. Rev. A 31, 471 (1985).
16. P. Talkner, Ann. Phys. (San Diego) 167, 390 (1986).
17. K. M. Fonseca Romero and M. C. Nemes, Phys. Lett. A 235, 432 (1997).
18. K. M. Fonseca Romero and M. C. Nemes, Physica A 325, 333 (2003).
19. H. Grabert, P. Talkner, and P. Hänggi, Z. Phys. B 26, 389 (1977).
20. H. Grabert, P. Talkner, P. Hänggi, and H. Thomas, Z. Phys. B 29, 273 (1978).
21. H. Grabert, P. Hänggi, and P. Talkner, J. Stat. Phys. 22, 537 (1980).
22. H. Grabert, P. Shramm, and G.-L. Ingold, Phys. Rep. 168, 115 (1988).
23. W. Bez, Z. Phys. B: Condens. Matter 39, 319 (1980).
24. A. Suarez, R. Silbey, and I. Oppenheim, J. Chem. Phys. 97, 5101 (1992).
25. J. S. Canizares and F. Sols, Physica A 212, 181 (1994).
26. S. Gnutzmann and F. Haake, Z. Phys. B: Condens. Matter 101, 263 (1996).
27. R. Karrlein and H. Grabert, Phys. Rev. E 55, 153 (1997).
28. U. Zürcher and P. Talkner, Phys. Rev. A 42, 3267 (1990).
29. S. Kohler, T. Dittrich, and P. Hänggi, Phys. Rev. E 55, 300 (1997).
30. G.-L. Ingold, in Coherent Evolution in Noisy Environments, edited by A. Buchleitner and K. Hornberger, Lecture Notes in Physics Vol. 611 (Springer, Berlin, 2002), pp. 1-53.
31. H. Spohn, Rev. Mod. Phys. 52, 569 (1980).
32. P. Hänggi, H. Thomas, H. Grabert, and P. Talkner, J. Stat. Phys. 18, 155 (1978).
33. H. Mori, Prog. Theor. Phys. 33, 423 (1965).
34. R. Kubo, Rep. Prog. Phys. 29, 255 (1966).
35. R. Abraham, J. E. Marsden, and T. Ratiu, Manifolds, Tensor Analysis, and Applications (Addison-Wesley, London, 1983).