Adiabatic response for Lindblad dynamics

Details Adiabatic response for Lindblad dynamics Adiabatic response for Lindblad dynamics

2012-02-26

arxiv.org/abs/1202.5750v1

Physics

Mathematical Physics

32 pages, 4 figures

Scientific paper

We study the adiabatic response of open systems governed by Lindblad evolutions. In such systems, there is an ambiguity in the assignment of observables to fluxes (rates) such as velocities and currents. For the appropriate notion of flux, the formulas for the transport coefficients are simple and explicit and are governed by the parallel transport on the manifold of instantaneous stationary states. Among our results we show that the response coefficients of open systems, whose stationary states are projections, is given by the adiabatic curvature.

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