Abstract
We derive the influence function and the effective dynamics of a quantum systems coupled to a chaotic environment, using very general parametric and banded random matrices to describe the quantum properties of a chaotic bath. We find that only in certain limits the thermalization can result from the environment. We study the general transport problems including escape, fusion and tunneling (fission).
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A. Bulgac, G. DoDang, and D. Kusnezov: Ann. Phys. (NY)242 (1995) 1; Phys. Rev. E54 (1996) 3468; Chaos, Fractals and Solitons8 (1997) 1149; in preparation.
D. Kusnezov, A. Bulgac, and G. DoDang: Phys. Lett. A234 (1997) 103.
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Kusnezov, D., Bulgac, A. & Gui, D. Quantum transport in complex systems. Czech J Phys 48, 841–844 (1998). https://doi.org/10.1023/A:1021403503670
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DOI: https://doi.org/10.1023/A:1021403503670