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Starting from the Liouville-von Neumann equation, under a weak coupling limitwe derive the Lindblad master equation for the one-dimensional quantum Isingmodel in a Markov approximation and a rotating wave approximation. We alsoprove that the steady solution of the Lindblad equation is the canonicaldistribution independent of the dissipation rate.

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