Derivation of Lindblad master equation for the quantum Ising model interacting with a heat bath (1303.3366v1)

Published 14 Mar 2013 in cond-mat.stat-mech and quant-ph

Abstract: Starting from the Liouville-von Neumann equation, under a weak coupling limit we derive the Lindblad master equation for the one-dimensional quantum Ising model in a Markov approximation and a rotating wave approximation. We also prove that the steady solution of the Lindblad equation is the canonical distribution independent of the dissipation rate.

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