Bellissard J., Rebolledo R., Spehner D., von Waldenfels W.
The Quantum Flow of Electronic transport I: The finite volume case
(108K, AMS-LaTex)
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.