Rapid thermalization of spin chain commuting Hamiltonians

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Bardet, Ivan and Capel, Angela and Gao, Li and Lucia, Angelo and Pérez García, David and Rouzé, Cambyse (2022) Rapid thermalization of spin chain commuting Hamiltonians. (Unpublished)

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Abstract

We prove that spin chains weakly coupled to a large heat bath thermalize rapidly at any temperature for finite-range, translation-invariant commuting Hamiltonians, reaching equilibrium in a time which scales logarithmically with the system size. From a physical point of view, our result rigorously establishes the absence of dissipative phase transitions for Davies evolutions over translation-invariant spin chains. The result has also implications in the understanding of Symmetry Protected Topological phases for open quantum systems.


Item Type:Article
Uncontrolled Keywords:Quantum Physics; Statistical Mechanics; Mathematical Physics
Subjects:Sciences > Physics > Mathematical physics
ID Code:74310
Deposited On:05 Sep 2022 07:54
Last Modified:05 Sep 2022 10:10

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