Influence of typical environments on quantum processes

Details Influence of typical environments on quantum processes Influence of typical environments on quantum processes

1996-01-10

arxiv.org/abs/cond-mat/9601032v1

Physics

Condensed Matter

46 pages, 11 post script figures. Accepted for publication in Physical Review B

Scientific paper

10.1103/PhysRevB.53.10042

We present the results of studying the influence of different environmental states on the coherence of quantum processes. We choose to discuss a simple model which describe two electronic reservoirs connected through tunneling via a resonant state. The model could, e.g., serve as an idealization of inelastic resonant tunneling through a double barrier structure. We develop Schwinger's closed time path formulation of non-equilibrium quantum statistical mechanics, and show that the influence of the environment on a coherent quantum process can be described by the value of a generating functional at a specific force value, thereby allowing for a unified discussion of destruction of phase coherence by various environmental states: thermal state, classical noise, time dependent classical field, and a coherent state. The model allows an extensive discussion of the influence of dissipation on the coherent quantum process, and expressions for the transmission coefficient are obtained in the possible limits.

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