Derivation of Lindblad master equation for the quantum Ising model interacting with a heat bath
Statistical Mechanics
2013-03-15 v1 Quantum Physics
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.
Keywords
Cite
@article{arxiv.1303.3366,
title = {Derivation of Lindblad master equation for the quantum Ising model interacting with a heat bath},
author = {Peizhi Mai and Shuai Yin},
journal= {arXiv preprint arXiv:1303.3366},
year = {2013}
}