Tunneling with dissipation in open quantum systems

Abstract

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.

15 pages, LaTeX, including 4 postscript figures

References in corpus (3)

• Open quantum systems
• Tunneling of a Quantized Vortex: Roles of Pinning and Dissipation
• Adiabatic quantum tunneling in heavy-ion sub-barrier fusion

Cited by in corpus (5)

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• Effects of nonlocality in time of interactions of an atom with its surroundings on the broadening of spectral lines of atoms
• On quantum mechanical transport coefficients in nonequilibrium nuclear processes with application to heavy-ion collisions
• Estimation of the spatial decoherence time in circular quantum dots
• Diffusion coefficients preserving long-time correlations: Consequences on the Einstein relation and on entanglement in a bosonic Bogoliubov system