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Universal algebraic growth of entanglement entropy in many-body localized systems with power-law interactions

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Xiaolong Deng
  • Guido Masella
  • Guido Pupillo
  • Luis Santos

Externe Organisationen

  • Université de Strasbourg
  • Centre national de la recherche scientifique (CNRS)

Details

OriginalspracheEnglisch
Aufsatznummer010401
Seiten (von - bis)010401
Seitenumfang5
FachzeitschriftPhysical Review Letters
Jahrgang125
Ausgabenummer1
PublikationsstatusVeröffentlicht - 29 Juni 2020

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 γc≃0.33 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.

ASJC Scopus Sachgebiete

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Universal algebraic growth of entanglement entropy in many-body localized systems with power-law interactions. / Deng, Xiaolong; Masella, Guido; Pupillo, Guido et al.
in: Physical Review Letters, Jahrgang 125, Nr. 1, 010401, 29.06.2020, S. 010401.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Deng X, Masella G, Pupillo G, Santos L. Universal algebraic growth of entanglement entropy in many-body localized systems with power-law interactions. Physical Review Letters. 2020 Jun 29;125(1):010401. 010401. doi: 10.1103/PhysRevLett.125.010401
Deng, Xiaolong ; Masella, Guido ; Pupillo, Guido et al. / Universal algebraic growth of entanglement entropy in many-body localized systems with power-law interactions. in: Physical Review Letters. 2020 ; Jahrgang 125, Nr. 1. S. 010401.
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N1 - Funding information: We thank A. Burin, H. Hu, J. Zakrzewski, A. Lazarides, and S. Roy for interesting discussions. L. S. and X. D. acknowledge the support of the German Science Foundation (DFG) (SA 1031/11, SFB 1227, and Excellence Cluster QuantumFrontiers). G. M. and G. P. were supported by the ANR 5 “ERA-NET QuantERA”–Projet “RouTe” (ANR-18-QUAN-0005-01), and LabEx NIE. G. P. acknowledges support from the Institut Universitaire de France (IUF) and The University of Strasbourg Institute for Advanced Study (USIAS). G. M. was also supported by the French National Research Agency (ANR) through the “Programme d’Investissement d’Avenir” under Contract No. ANR-17-EURE-0024.

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