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- W3216213573 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. Our main result is a generalization to the quantum setting of a seminal result of Holley and Stroock for classical spin chains and represents an exponential improvement over bounds based on the non-closure of the spectral gap. From a physical point of view, our result rigorously establishes the absence of dissipative phase transition for Davies evolutions over translation-invariant spin chains. The result also applies in the case of Symmetry Protected Topological phases where the evolution is respecting the symmetry of the phase. This has wide-ranging applications to the study of many-body in and out-of-equilibrium quantum systems." @default.
- W3216213573 created "2021-12-06" @default.
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- W3216213573 date "2023-02-09" @default.
- W3216213573 modified "2023-10-03" @default.
- W3216213573 title "Rapid Thermalization of Spin Chain Commuting Hamiltonians" @default.
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- W3216213573 doi "https://doi.org/10.1103/physrevlett.130.060401" @default.
- W3216213573 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/36827556" @default.
- W3216213573 hasPublicationYear "2023" @default.
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