Dissipative quantum dynamics with the surrogate Hamiltonian approach. A comparison between spin and harmonic baths

Journal of Chemical Physics

Volumn 121, Issue 2, 2004, Pages 661-671

  Gelman, David ^a   Koch, Christiane P ^b   Kosloff, Ronnie ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b LABORATOIRE AIMÉ COTTON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CORRELATION METHODS; DEGREES OF FREEDOM (MECHANICS); HAMILTONIANS; HARMONIC GENERATION; KINETIC ENERGY; MARKOV PROCESSES; MATHEMATICAL MODELS; MATRIX ALGEBRA; OSCILLATORS (MECHANICAL);

DISSIPATIVE QUANTUM DYNAMICS; HARMONIC BATHS; RELAXATION DYNAMICS; SPIN BATHS;

QUANTUM THEORY;

EID: 3242701527     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1759312     Document Type: Article

References (55)

1. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1999).
2. R. Feynman and F. Vernon, Ann. Phys. (N.Y.) 24, 118 (1963).
3. W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1990).
4. R. Baer and R. Kosloff, J. Chem. Phys. 106, 8862 (1997).
5. A. O. Caldeira, A. H. C. Neto, and T. O. de Carvalho, Phys. Rev. B 48, 13974 (1993).
6. K. Forsythe and N. Makri, Phys. Rev. B 60, 972 (1998).
7. S. Tsonchev and P. Pechukas, Phys. Rev. E 61, 6171 (1999).
8. N. V. Prokof'ev and P. Stamp, Rep. Prog. Phys. 63, 669 (2000), and references therein.
9. J. Shao and P. Hänggi, Phys. Rev. Lett. 81, 5710 (1998).
10. J. S. Bader and B. J. Berne, J. Chem. Phys. 100, 8359 (1994).
11. C. P. Koch, T. Klüner, H.-J. Freund, and R. Kosloff, J. Chem. Phys. 119, 1750 (2003).
12. M. Nest and H.-D. Meyer, J. Chem. Phys. 119, 24 (2003).
13. I. Burghardt, M. Nest, and G. A. Worth, J. Chem. Phys. 119, 5364 (2003).
14. A. G. Redfield, Phys. Rev. 98, 1787 (1955).
15. A. G. Redfield, IBM J. Res. Dev. 1, 19 (1957).
16. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).
17. V. Gorini, A. Kossokowski, and E. C. G. Sudarshan, J. Math. Phys. 17, 821 (1976).
18. R. Alicki and K. Lendi, Quantum Dynamical Semigroups and Applications (Springer-Verlag, New York, 1987).
19. N. Makri, Annu. Rev. Phys. Chem. 50, 167 (1999).
20. N. Makri, J. Phys. Chem. B 103, 2823 (1999).
21. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1992).
22. C. P. Koch, T. Klüner, H.-J. Freund, and R. Kosloff, Phys. Rev. Lett. 90, 117601 (2003).
23. H.-D. Meyer and G. A. Worth, Theor. Chim. Acta 109, 251 (2003).
24. M. H. Beck, A. Jäckle, G. A. Worht, and H.-D. Meyer, Phys. Rep. 324, 1 (2000).
25. G. A. Worth, H.-D. Meyer, and L. S. Cederbaum, J. Chem. Phys. 105, 4412 (1996).
26. H. Wang, J. Chem. Phys. 113, 9948 (2000).
27. R. Kosloff, in Numerical Grid Methods and Their Application to Schrödinger Equation (Kluwer Academic, The Netherlands, 1993).
28. R. Kosloff and H. Tal-Ezer, Chem. Phys. Lett. 127, 223 (1986).
29. C. P. Koch, T. Klüner, and R. Kosloff, J. Chem. Phys. 116, 7983 (2002).
30. P. Pechukas, Phys. Rev. Lett. 73, 1060 (1994).
31. V. Romero-Rochin and I. Oppenheim, Physica A 155, 52 (1989).
32. E. Geva, E. Rosenman, and D. Tannor, J. Chem. Phys. 113, 1380 (2000).
33. R. Kosloff and H. Tal-Ezer, Chem. Phys. Lett. 127, 223 (1986).
34. A. Suárez, R. Silbey, and I. Oppenheim, J. Chem. Phys. 97, 5101 (1992).
35. T. Mančal and V. May, J. Chem. Phys. 114, 1510 (2001).
36. R. Alicki, arXiv quant-ph 0205173 2002.
37. Decoherence and the Appearence of a Classical World in Quantum Theory, edited by D. Guilini, E. Joos, C. Kiefer, J. Kupsch, I.-O. Stamatescu, and H. D. Zeh (Springer-Verlag, Berlin, 1996).
38. F. Haake and R. Reibold, Phys. Rev. A 32, 2462 (1985).
39. A. K. Rajagopal, Phys. Lett. A 246, 237 (1998).
40. W. T. Strunz, F. Haake, and D. Braun, Phys. Rev. A 67, 022101 (2003).
41. J. P. Paz and W. H. Zurek, Phys. Rev. Lett. 82, 5181 (1999).
42. U. Banin, A. Bartana, S. Ruhman, and R. Kosloff, J. Chem. Phys. 101, 8461 (1994).
43. W. H. Zurek, Phys. Rev. D 26, 1862 (1982).
44. E. Joos and H. D. Zeh, Z. Phys. B: Condens. Matter 59, 223 (1985).
45. D. Braun, Phys. Rev. Lett. 89, 277901 (2002).
46. F. Benatti, R. Floreanini, and M. Piani, Phys. Rev. Lett. 91, 070401 (2003).
47. A. Peres, Phys. Rev. Lett. 77, 1413 (1996).
48. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996).
49. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).
50. S. Hill and W. K. Wootters, Phys. Rev. Lett. 78, 5022 (1997).
51. W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).
52. G. Lindblad, J. Math. Phys. 39, 2763 (1998).
53. J. Vala, Ph.D. dissertation, The Hebrew University of Jerusalem, 2001.
54. A. A. Golosov, S. I. Tsonehev, P. Pechukas, and R. A. Friesner, J. Chem. Phys. 111, 9918 (1999).
55. D. Gelman and R. Kosloff, Chem. Phys. Lett. 381, 129 (2003).