Quantum thermalization: anomalous slow relaxation due to percolation-like dynamics

We highlight a dynamical anomaly in which the rate of relaxation towards thermal equilibrium in a bi-partite quantum system violates the standard linear-response (Kubo) formulation, even when the underlying dynamics is highly chaotic. This anomaly originates from an -dependent sparsity of the underl...

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Bibliographic Details
Published inNew journal of physics Vol. 17; no. 2; pp. 23071 - 10
Main Authors Khripkov, Christine, Vardi, Amichay, Cohen, Doron
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 24.02.2015
Subjects
Anomalies
Bose-Hubbard
Dynamical systems
Dynamics
Energy use
ergodicity
Mathematical models
Networks
Percolation
Physics
Quantum theory
thermalization
Thermalization (energy absorption)
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Summary:We highlight a dynamical anomaly in which the rate of relaxation towards thermal equilibrium in a bi-partite quantum system violates the standard linear-response (Kubo) formulation, even when the underlying dynamics is highly chaotic. This anomaly originates from an -dependent sparsity of the underlying quantum network of transitions. Using a minimal bi-partite Bose-Hubbard model as an example, we find that the relaxation rate acquires an anomalous dependence that reflects percolation-like dynamics in energy space.
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ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/17/2/023071