The Quantum Mechanical Tunneling under the Influence of Environment : Using the Method of Density Matrix : Condensed Matter and Statistical Physics

概要

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The purpose of this paper is to study an effect of an environment on a quantum tunneling. Here, the system we consider is of a symmetric two-level type with "bare" tunneling frequency ？ω_0, and the correlation time of actions due to the environment, τ_c, is assumed to be much shorter than ？ω_0^<-1>. In the investigations, the method of density matrix is used, and a coupling between the system and the environment is included up to lowest nontrivial order. After calculations, we reach the following conclusions: First, the possibility of the quantum tunneling is, in a high temperature range β&plank;？ω_0≪1, washed out by the thermal actions from the environment. In the inverse case β&plank;？ω_0≫1, where the quantum fluctuation of the environment plays a dominant role, the possibility of the quantum tunneling remains. Secondly, in the case β&plank;？ω_0≫1, the dissipation effect depresses the tunneling probability, while the potential barrier is effectively lowered by the actions due to the environment.
理論物理学刊行会の論文
1984-06-25