Quantum irreversibility of energy spreading

Europhysics Letters

Volumn 61, Issue 4, 2003, Pages 431-437

  Kottos, T ^a   Cohen, D ^b  

^a MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

^b BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037328286     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2003-00325-6     Document Type: Article

References (34)

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5. JALABERT R. A. and PASTAWSKI H. M., Phys. Rev. Lett., 86 (2001) 2490; CUCCHIETTI F. M., PASTAWSKI H. M. and JALABERT R., Physica A, 283 (2000) 285; CUCCHIETTI F. M., PASTAWSKI H. M. and WISNIACKI D. A., Phys. Rev. E, 65 (2002) 045206; JACQUOD PH., SILVESTROV P. G. and BEENAKKER C. W. J., Phys. Rev. E, 64 (2001) 055203; CERRUTI N. R. and TOMSOVIC S., Phys. Rev. Lett., 88 (2002) 054103; PROSEN T., quant-ph/0106149; KARKUSZEWSKI Z. P., JARZYNSKI C. and ZUREK W. H., Phys. Rev. Lett., 89 (2002) 170405; WISNIACKI D. A. and COHEN D., Phys. Rev. E, 66 (2002) 046209.
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7. JALABERT R. A. and PASTAWSKI H. M., Phys. Rev. Lett., 86 (2001) 2490; CUCCHIETTI F. M., PASTAWSKI H. M. and JALABERT R., Physica A, 283 (2000) 285; CUCCHIETTI F. M., PASTAWSKI H. M. and WISNIACKI D. A., Phys. Rev. E, 65 (2002) 045206; JACQUOD PH., SILVESTROV P. G. and BEENAKKER C. W. J., Phys. Rev. E, 64 (2001) 055203; CERRUTI N. R. and TOMSOVIC S., Phys. Rev. Lett., 88 (2002) 054103; PROSEN T., quant-ph/0106149; KARKUSZEWSKI Z. P., JARZYNSKI C. and ZUREK W. H., Phys. Rev. Lett., 89 (2002) 170405; WISNIACKI D. A. and COHEN D., Phys. Rev. E, 66 (2002) 046209.
8. JALABERT R. A. and PASTAWSKI H. M., Phys. Rev. Lett., 86 (2001) 2490; CUCCHIETTI F. M., PASTAWSKI H. M. and JALABERT R., Physica A, 283 (2000) 285; CUCCHIETTI F. M., PASTAWSKI H. M. and WISNIACKI D. A., Phys. Rev. E, 65 (2002) 045206; JACQUOD PH., SILVESTROV P. G. and BEENAKKER C. W. J., Phys. Rev. E, 64 (2001) 055203; CERRUTI N. R. and TOMSOVIC S., Phys. Rev. Lett., 88 (2002) 054103; PROSEN T., quant-ph/0106149; KARKUSZEWSKI Z. P., JARZYNSKI C. and ZUREK W. H., Phys. Rev. Lett., 89 (2002) 170405; WISNIACKI D. A. and COHEN D., Phys. Rev. E, 66 (2002) 046209.
9. JALABERT R. A. and PASTAWSKI H. M., Phys. Rev. Lett., 86 (2001) 2490; CUCCHIETTI F. M., PASTAWSKI H. M. and JALABERT R., Physica A, 283 (2000) 285; CUCCHIETTI F. M., PASTAWSKI H. M. and WISNIACKI D. A., Phys. Rev. E, 65 (2002) 045206; JACQUOD PH., SILVESTROV P. G. and BEENAKKER C. W. J., Phys. Rev. E, 64 (2001) 055203; CERRUTI N. R. and TOMSOVIC S., Phys. Rev. Lett., 88 (2002) 054103; PROSEN T., quant-ph/0106149; KARKUSZEWSKI Z. P., JARZYNSKI C. and ZUREK W. H., Phys. Rev. Lett., 89 (2002) 170405; WISNIACKI D. A. and COHEN D., Phys. Rev. E, 66 (2002) 046209.
10. COHEN D., Phys. Rev. E, 65 (2002) 026218. This publication regards dephasing due to the interaction with chaotic degrees of freedom. The relation to the QI studies of ref. [2] is explained there. Note that the mainstream literature is dealing mainly with dephasing due to the interaction with bath degrees of freedom. See, for example, Quantum Dissipative Systems, edited by WEISS U. (World Scientific, Singapore) 1999; Quantum Transport and Dissipation, edited by DITTRICH T., HÄNGGI P., INGOLD G. L., KRAMER B., SCHÖN G. and ZWERGER W. (Wiley-VCH, Weinheim) 1998; ZUREK W., Phys. Scr., 76 (1998) 186. Interaction with RMT bath is discussed by BULGAC P. A., DANG G. D. and KUSNEZOV D., Phys. Rev. E, 58 (1998) 196. Some recent related publications are BRAUN D., HAAKE F. and STRUNZ W. T., Phys. Rev. Lett., 86 (2001) 2913; GORIN T. and SELIGMAN T. H., J. Opt. B, 4 (2002) S386.
11. COHEN D., Phys. Rev. E, 65 (2002) 026218. This publication regards dephasing due to the interaction with chaotic degrees of freedom. The relation to the QI studies of ref. [2] is explained there. Note that the mainstream literature is dealing mainly with dephasing due to the interaction with bath degrees of freedom. See, for example, Quantum Dissipative Systems, edited by WEISS U. (World Scientific, Singapore) 1999; Quantum Transport and Dissipation, edited by DITTRICH T., HÄNGGI P., INGOLD G. L., KRAMER B., SCHÖN G. and ZWERGER W. (Wiley-VCH, Weinheim) 1998; ZUREK W., Phys. Scr., 76 (1998) 186. Interaction with RMT bath is discussed by BULGAC P. A., DANG G. D. and KUSNEZOV D., Phys. Rev. E, 58 (1998) 196. Some recent related publications are BRAUN D., HAAKE F. and STRUNZ W. T., Phys. Rev. Lett., 86 (2001) 2913; GORIN T. and SELIGMAN T. H., J. Opt. B, 4 (2002) S386.
12. COHEN D., Phys. Rev. E, 65 (2002) 026218. This publication regards dephasing due to the interaction with chaotic degrees of freedom. The relation to the QI studies of ref. [2] is explained there. Note that the mainstream literature is dealing mainly with dephasing due to the interaction with bath degrees of freedom. See, for example, Quantum Dissipative Systems, edited by WEISS U. (World Scientific, Singapore) 1999; Quantum Transport and Dissipation, edited by DITTRICH T., HÄNGGI P., INGOLD G. L., KRAMER B., SCHÖN G. and ZWERGER W. (Wiley-VCH, Weinheim) 1998; ZUREK W., Phys. Scr., 76 (1998) 186. Interaction with RMT bath is discussed by BULGAC P. A., DANG G. D. and KUSNEZOV D., Phys. Rev. E, 58 (1998) 196. Some recent related publications are BRAUN D., HAAKE F. and STRUNZ W. T., Phys. Rev. Lett., 86 (2001) 2913; GORIN T. and SELIGMAN T. H., J. Opt. B, 4 (2002) S386.
13. COHEN D., Phys. Rev. E, 65 (2002) 026218. This publication regards dephasing due to the interaction with chaotic degrees of freedom. The relation to the QI studies of ref. [2] is explained there. Note that the mainstream literature is dealing mainly with dephasing due to the interaction with bath degrees of freedom. See, for example, Quantum Dissipative Systems, edited by WEISS U. (World Scientific, Singapore) 1999; Quantum Transport and Dissipation, edited by DITTRICH T., HÄNGGI P., INGOLD G. L., KRAMER B., SCHÖN G. and ZWERGER W. (Wiley-VCH, Weinheim) 1998; ZUREK W., Phys. Scr., 76 (1998) 186. Interaction with RMT bath is discussed by BULGAC P. A., DANG G. D. and KUSNEZOV D., Phys. Rev. E, 58 (1998) 196. Some recent related publications are BRAUN D., HAAKE F. and STRUNZ W. T., Phys. Rev. Lett., 86 (2001) 2913; GORIN T. and SELIGMAN T. H., J. Opt. B, 4 (2002) S386.
14. COHEN D., Phys. Rev. E, 65 (2002) 026218. This publication regards dephasing due to the interaction with chaotic degrees of freedom. The relation to the QI studies of ref. [2] is explained there. Note that the mainstream literature is dealing mainly with dephasing due to the interaction with bath degrees of freedom. See, for example, Quantum Dissipative Systems, edited by WEISS U. (World Scientific, Singapore) 1999; Quantum Transport and Dissipation, edited by DITTRICH T., HÄNGGI P., INGOLD G. L., KRAMER B., SCHÖN G. and ZWERGER W. (Wiley-VCH, Weinheim) 1998; ZUREK W., Phys. Scr., 76 (1998) 186. Interaction with RMT bath is discussed by BULGAC P. A., DANG G. D. and KUSNEZOV D., Phys. Rev. E, 58 (1998) 196. Some recent related publications are BRAUN D., HAAKE F. and STRUNZ W. T., Phys. Rev. Lett., 86 (2001) 2913; GORIN T. and SELIGMAN T. H., J. Opt. B, 4 (2002) S386.
15. COHEN D., Phys. Rev. E, 65 (2002) 026218. This publication regards dephasing due to the interaction with chaotic degrees of freedom. The relation to the QI studies of ref. [2] is explained there. Note that the mainstream literature is dealing mainly with dephasing due to the interaction with bath degrees of freedom. See, for example, Quantum Dissipative Systems, edited by WEISS U. (World Scientific, Singapore) 1999; Quantum Transport and Dissipation, edited by DITTRICH T., HÄNGGI P., INGOLD G. L., KRAMER B., SCHÖN G. and ZWERGER W. (Wiley-VCH, Weinheim) 1998; ZUREK W., Phys. Scr., 76 (1998) 186. Interaction with RMT bath is discussed by BULGAC P. A., DANG G. D. and KUSNEZOV D., Phys. Rev. E, 58 (1998) 196. Some recent related publications are BRAUN D., HAAKE F. and STRUNZ W. T., Phys. Rev. Lett., 86 (2001) 2913; GORIN T. and SELIGMAN T. H., J. Opt. B, 4 (2002) S386.
16. COHEN D., Phys. Rev. E, 65 (2002) 026218. This publication regards dephasing due to the interaction with chaotic degrees of freedom. The relation to the QI studies of ref. [2] is explained there. Note that the mainstream literature is dealing mainly with dephasing due to the interaction with bath degrees of freedom. See, for example, Quantum Dissipative Systems, edited by WEISS U. (World Scientific, Singapore) 1999; Quantum Transport and Dissipation, edited by DITTRICH T., HÄNGGI P., INGOLD G. L., KRAMER B., SCHÖN G. and ZWERGER W. (Wiley-VCH, Weinheim) 1998; ZUREK W., Phys. Scr., 76 (1998) 186. Interaction with RMT bath is discussed by BULGAC P. A., DANG G. D. and KUSNEZOV D., Phys. Rev. E, 58 (1998) 196. Some recent related publications are BRAUN D., HAAKE F. and STRUNZ W. T., Phys. Rev. Lett., 86 (2001) 2913; GORIN T. and SELIGMAN T. H., J. Opt. B, 4 (2002) S386.
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34. Long time recurrences are not an issue of the present letter. This is the reason why we do not make a distinction between the "ergodic" and the "localization" regimes. See [7] for details.