02-212 Bellissard J., Rebolledo R., Spehner D., von Waldenfels W.

The Quantum Flow of Electronic transport I: The finite volume case (108K, AMS-LaTex) May 6, 02

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Abstract. This article provides a model for the dissipative dynamics and electronic transport in Anderson insulators. This model is based upon quantum stochastic flows which satisfy a given stochastic differential equation. The Lindblad master equation follows from a projection of the quantum flow. For fixed parameters of the model, the Gibbs state is the unique stationary state of the quantum dynamical semigroup associated to the Lindblad generator. The current produced by an applied constant electric field is computed within the linear response approach. This yields a novel expression for the DC conductivity.

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