Quantum master equation, Lindblad-type of dissipation and temperature dependent Monte Carlo wave-function propagation

European Physical Journal D

Volumn 8, Issue 1, 2000, Pages 473-485

  Linden, O ^a   May, V ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MATRIX ALGEBRA; QUANTUM CHEMISTRY; QUANTUM OPTICS; WAVE FUNCTIONS;

DENSITY MATRIX EQUATIONS; DISSIPATIVE DYNAMICS; MOLECULAR SYSTEMS; MONTE CARLO WAVE FUNCTIONS; QUANTUM MASTER EQUATIONS; QUANTUM OPTICS OF SINGLE ATOMS; QUANTUM TRAJECTORIES; TEMPERATURE DEPENDENT;

MONTE CARLO METHODS;

EID: 0034354970     PISSN: 14346060     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100530070008     Document Type: Article

References (44)

1. J. Dalibard, Y. Castin, K. Molmer, Phys. Rev. Lett. 68, 580 (1992).
2. K. Molmer, Y. Castin, J. Dalibar, J. Opt. Soc. Am. B 10, 524 (1993).
3. N. Gisin, I.C. Percival, J. Phys. A 25, 5677 (1992).
4. C.W. Gardiner, A.S. Parkins, P. Zoller, Phys. Rev. A 46, 4363 (1992).
5. H. Carmichael, An Open System Approach to Quantum Optics, Lecture Notes in Physics, M18 (Springer, Berlin, 1993).
6. M.B. Plenio, P.L. Knight, Rev. Mod. Phys. 70, 101 (1998).
7. H.-P. Breuer, F. Petruccione, Phys. Rev. Lett 74, 3788 (1995).
8. H.-P. Breuer, F. Petruccione, Phys. Rev. E 52, 428 (1995).
9. H.-P. Breuer, F. Petruccione, Phys. Rev. A 51, 4041 (1995).
10. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).
11. H.-P. Breuer, B. Kappler, F. Petruccione, Phys. Rev. A 59, 1633 (1999).
12. Y. Castin, K. Molmer, Phys. Rev. A 54, 5275 (1996).
13. A. Imamoglu, Phys. Rev. A 50, 3650 (1994).
14. L. Diosi, N. Gisin, W.T. Strunz, Phys. Rev. A 58, 1699 (1998).
15. P. Gaspard, M. Nagaoka, J. Chem. Phys. 111, 5676 (1999).
16. D.E. Makarov, H. Metiu, J. Chem. Phys. 111, 10126 (1999).
17. C. Cohen-Tannoudji, J. Dupont-Roc, G. Grynberg, Photons and Atoms (Wiley, New York, 1989).
18. G.C. Hegerfeldt, T.S. Wilser, in Proceedings of the II. Wigner Symposium, edited by H.D. Doebner, W. Scherer, F Schroeck (World Scientific, Singapore, 1992), p. 104.
19. K. Blum, Density Matrix Theory and Applications (Plenum Press, New York, 1981).
20. R. Kubo, M. Toda, N. Hashitsume, Statistical Physics II: Nonequilibrium Statistical Mechanics (Springer Series in Solid State Sciences, Springer, Berlin, 1995), Vol. 31.
21. E. Fick, G. Sauermann, The Quantum Statistics of Dynamic Processes (Springer, Berlin, 1990).
22. V. May, O. Kühn, Charge and Energy Transfer Dynamics in Molecular Systems (Wiley-VCH, Berlin, 1999).
23. Femtosecond Chemistry, edited by J. Manz, L. Wöste (Verlag Chemie, Weinheim, 1995); Ultrafast Chemical and Physical Processes in Molecular Systems, edited by M. Chergui, Proceedings of Femtochemistry: The Lausanne Conference (World Scientific Publishing, Singapore, 1996); Proceedings of the Femtochemistry Conference (Lund, Sweden, 1997, special issue of J. Phys. Chem. B.).
24. Femtosecond Chemistry, edited by J. Manz, L. Wöste (Verlag Chemie, Weinheim, 1995); Ultrafast Chemical and Physical Processes in Molecular Systems, edited by M. Chergui, Proceedings of Femtochemistry: The Lausanne Conference (World Scientific Publishing, Singapore, 1996); Proceedings of the Femtochemistry Conference (Lund, Sweden, 1997, special issue of J. Phys. Chem. B.).
25. Femtosecond Chemistry, edited by J. Manz, L. Wöste (Verlag Chemie, Weinheim, 1995); Ultrafast Chemical and Physical Processes in Molecular Systems, edited by M. Chergui, Proceedings of Femtochemistry: The Lausanne Conference (World Scientific Publishing, Singapore, 1996); Proceedings of the Femtochemistry Conference (Lund, Sweden, 1997, special issue of J. Phys. Chem. B.).
26. B. Wolfseder, W. Domcke, Chem. Phys. Lett. 235, 370 (1995).
27. B. Wolfseder, W. Domcke, Chem. Phys. Lett. 259, 113 (1996).
28. S. Gao, Phys. Rev. B 57, 4509 (1998).
29. Single Molecule Optical Detection, Imaging and Spectroscopy, edited by T. Basche, W.E. Moerner, M. Orrit, U.P. Wild (Verlag Chemie, Munich, 1996).
30. E.B. Davies, Commun. Math. Phys. 39, 91 (1974).
31. See references [19,22]; note that equation (25) corrects the printing errors in equations (3.8.28-30) of [22], p. 136.
32. J-Aggregates, edited by T. Kobayashi (World Scientific, Singapore, 1996).
33. J.M. Jean, R.A. Friesner, G.R. Fleming, J. Chem. Phys. 96, 5827 (1992).
34. V. May, M. Schreiber, Phys. Rev. A 45, 2868 (1992).
35. R. Schinke, Photodissociation Dynamics, Cambridge Monographs on Atomic, Molecular and Chemical Physics (Cambridge University Press, 1993).
36. F. Neugebauer, V. May, Chem. Phys. Lett. 289, 67 (1998).
37. P.N. Argyres, P.L. Kelley, Phys. Rev. 134, A98 (1964).
38. A.G. Redfield, IBM J. Res. Dev. 1, 19 (1957); Adv. Magn. Reson. 1, 1 (1965).
39. A.G. Redfield, IBM J. Res. Dev. 1, 19 (1957); Adv. Magn. Reson. 1, 1 (1965).
40. D.H. Schirrmeister, V. May, Chem. Phys. Lett. 297, 383 (1998).
41. S Nakajima, Progr. Theor. Phys. 20, 948 (1958).
42. R. Zwanzig, J. Chem. Phys. 33, 1338 (1960); Phys. Rev. 124, 983 (1961).
43. R. Zwanzig, J. Chem. Phys. 33, 1338 (1960); Phys. Rev. 124, 983 (1961).
44. S Chaturvedi, J. Shibata, Z. Phys. B 35, 297 (1979).