Semiclassical theory of energy diffusive escape

Details Semiclassical theory of energy diffusive escape Semiclassical theory of energy diffusive escape

2009-08-11

arxiv.org/abs/0908.1484v1

Phys. Rev. A 79, 022115 (2009)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 3 figures

Scientific paper

Thermal escape out of a metastable well is considered in the weak friction regime, where the bottleneck for decay is energy diffusion, and at lower temperatures, where quantum tunneling becomes relevant. Within a systematic semiclassical formalism an extension of the classical diffusion equation is derived starting from a quantum mechanical master equation. In contrast to previous approaches finite barrier transmission also affects transition probabilities. The decay rate is obtained from the stationary non-equilibrium solution and captures the intimate interplay between thermal and quantum fluctuations above the crossover to the deep quantum regime.

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