Adiabatic response for Lindblad dynamics
Mathematical Physics
2013-10-17 v2 Statistical Mechanics
math.MP
Abstract
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.
Cite
@article{arxiv.1202.5750,
title = {Adiabatic response for Lindblad dynamics},
author = {J. E. Avron and M. Fraas and G. M. Graf},
journal= {arXiv preprint arXiv:1202.5750},
year = {2013}
}
Comments
33 pages, 4 figures, accepted version