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Many-body self-localization in a translation-invariant Hamiltonian

2017/05/31 by Rubem Mondaini, Zi Cai · 1 citation
Mathematics · Physics and Astronomy · #Canonical ensemble #Classical mechanics #Condensed matter physics #Hamiltonian (control theory) #Hamiltonian system #Invariant (physics) #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Quasiperiodic function #Scale invariance #Statistical ensemble #Statistical mechanics #Statistical physics #Thermalisation #cond-mat.dis-nn #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.96.035153

published as Phys. Rev. B 96, 035153 (2017) · 10 pages, 10 figures; as published

openalex publication_date 2017/07/31 · arxiv created 2017/08/02 · arxiv updated 2017/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the statistical and dynamical aspects of a translation-invariant Hamiltonian, without quench disorder, as an example of the manifestation of the phenomenon of many-body localization. This is characterized by the breakdown of thermalization and by information preservation of initial preparations at long times. To realize this, we use quasiperiodic long-range interactions, which are now achievable in high-finesse cavity experiments, to find evidence suggestive of a divergent time-scale in which charge inhomogeneities in the initial state survive asymptotically. This is reminiscent of a glassy behavior, which appears in the ground state of this system, being also present at infinite temperatures.

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