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Probing thermalization in quenched integrable and nonintegrable Fermi-Hubbard models

2020/05/31 by Philip Bleicker, Joachim Stolze, Götz S. Uhrig · 1 citation
Mathematics · Physics and Astronomy · #Cluster (spacecraft) #Cold Atom Physics and Bose-Einstein Condensates #Fermi Gamma-ray Space Telescope #Hubbard model #Integrable system #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Space (punctuation) #Statistical physics #Superconductivity #Thermalisation #Topology (electrical circuits) #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physreva.102.013321

published as Phys. Rev. A 102, 013321 (2020)

openalex created_date 2020/05/13 · arxiv created 2020/06/27 · openalex publication_date 2020/07/22 · arxiv updated 2020/07/29 · openalex updated_date 2026/08/05

Abstract

Using numerically exact methods we examine the Fermi-Hubbard model on arbitrary cluster topology. We focus on the question of which systems eventually equilibrate or even thermalize after an interaction quench when initially prepared in a state highly entangled between system and bath. We find that constants of motion in integrable clusters prevent equilibration to the thermal state. We discuss the size of fluctuations during equilibration and thermalization and the influence of integrability. The influence of real-space topology and in particular of infinite-range graphs on equilibration and thermalization is studied.

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