Universal Algebraic Growth of Entanglement Entropy in Many-Body Localized Systems with Power-Law Interactions

Xiaolong Deng, Guido Masella, Guido Pupillo, and Luis Santos
Phys. Rev. Lett. 125, 010401 – Published 29 June 2020
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Abstract

Power-law interactions play a key role in a large variety of physical systems. In the presence of disorder, these systems may undergo many-body localization for a sufficiently large disorder. Within the many-body localized phase the system presents in time an algebraic growth of entanglement entropy, SvN(t)tγ. Whereas the critical disorder for many-body localization depends on the system parameters, we find by extensive numerical calculations that the exponent γ acquires a universal value γc0.33 at the many-body localization transition, for different lattice models, decay powers, filling factors, or initial conditions. Moreover, our results suggest an intriguing relation between γc and the critical minimal decay power of interactions necessary for many-body localization.

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  • Received 20 December 2019
  • Revised 18 May 2020
  • Accepted 16 June 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.010401

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyCondensed Matter, Materials & Applied PhysicsAtomic, Molecular & OpticalGeneral PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Xiaolong Deng1,*, Guido Masella2, Guido Pupillo2, and Luis Santos1

  • 1Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstrasse 2, 30167 Hannover, Germany
  • 2ISIS (UMR 7006) and icFRC, University of Strasbourg and CNRS, 67000 Strasbourg, France

  • *Xiaolong.Deng@itp.uni-hannover.de

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Issue

Vol. 125, Iss. 1 — 3 July 2020

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