Derivation of Lindblad master equation for the quantum Ising model interacting with a heat bath

Peizhi Mai; Shuai Yin

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arXiv · 1303.3366

Derivation of Lindblad master equation for the quantum Ising model interacting with a heat bath

Peizhi Mai·Shuai Yin

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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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Peizhi Mai, Shuai Yin. 2013-03-14. Derivation of Lindblad master equation for the quantum Ising model interacting with a heat bath. https://arxiv.org/abs/1303.3366

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