Tunneling with dissipation in open quantum systems

Details Tunneling with dissipation in open quantum systems Tunneling with dissipation in open quantum systems

1997-10-18

arxiv.org/abs/cond-mat/9710192v1

Physics

Condensed Matter

15 pages, LaTeX, including 4 postscript figures

Scientific paper

10.1016/S0375-9601(98)00367-3

Based on the general form of the master equation for open quantum systems the tunneling is considered. Using the path integral technique a simple closed form expression for the tunneling rate through a parabolic barrier is obtained. The tunneling in the open quantum systems strongly depends on the coupling with environment. We found the cases when the dissipation prohibits tunneling through the barrier but decreases the crossing of the barrier for the energies above the barrier. As a particular application, the case of decay from the metastable state is considered.

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