1997/10/18 by G. G. Adamian, G.G. Adamian, N. V. Antonenko +2
Mathematics · Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #cond-mat
paper · pdf · doi:10.1016/s0375-9601(98)00367-3
15 pages, LaTeX, including 4 postscript figures
arxiv created 1997/10/18 · openalex publication_date 1998/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.