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Open Quantum Systems Decoherence
Modified logarithmic Sobolev inequalities for Abelian quantum double models
arXiv
Authors: Sebastian Stengele, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández, Cambyse Rouzé, Simone Warzel
Year
2026
Paper ID
63445
Status
Preprint
Abstract Read
~2 min
Abstract Words
76
Citations
N/A
Abstract
We establish rapid mixing for Davies Markov semigroups associated with 2D Abelian quantum double models at any positive temperature. A condition of Dobrushin-Shlosman (DS) type holds at any temperature, and we show that the latter implies a modified logarithmic Sobolev inequality for the Davies Lindbladian. A key step in the argument is to verify a strong martingale condition for the local conditional expectations of the Davies semigroup in the regime of validity of the DS condition.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- We establish rapid mixing for Davies Markov semigroups associated with 2D Abelian quantum double models at any positive temperature.
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