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Open Quantum Systems Decoherence

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

arXiv

Authors: Hironobu Yoshida

Year

2023

Paper ID

55266

Status

Preprint

Abstract Read

~2 min

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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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We present a simple proof of a sufficient condition for the uniqueness of non-equilibrium steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2309.00335 [2] arXiv https://arxiv.org/abs/2309.00335 [3] Publisher https://arxiv.org/abs/2309.00335

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