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arXiv · 2309.00335

Uniqueness of steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations: a simple proof

Hironobu Yoshida
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Abstract

We present a simple proof of a sufficient condition for the uniqueness of non-equilibrium steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations. We demonstrate the applications of the sufficient condition using examples of the transverse-field Ising model, the XYZ model, and the tight-binding model with dephasing.

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Hironobu Yoshida. 2023-09-01. Uniqueness of steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations: a simple proof. https://doi.org/10.1103/physreva.109.022218

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