1303.3366 (Peizhi Mai et al.)

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

Peizhi Mai, Shuai Yin

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.

View original: http://arxiv.org/abs/1303.3366