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

authored by: Xiaolong Deng, Guido Masella, Guido Pupillo, Luis Santos
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.
Organisation(s): Institute of Theoretical Physics
QuantumFrontiers
CRC 1227 Designed Quantum States of Matter (DQ-mat)
External Organisation(s): University of Strasbourg
Centre national de la recherche scientifique (CNRS)
Type: Article
Journal: Physical Review Letters
Volume: 125
Pages: 010401
No. of pages: 5
ISSN: 0031-9007
Publication date: 29.06.2020
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Physics and Astronomy
Electronic version(s): https://arxiv.org/abs/1912.08131 (Access: Open)
https://doi.org/10.1103/PhysRevLett.125.010401 (Access: Closed)

BibTeX

@article{9b162c0f78184dcda8c03cdb65498a86,
title = "Universal algebraic growth of entanglement entropy in many-body localized systems with power-law interactions",
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.",
author = "Xiaolong Deng and Guido Masella and Guido Pupillo and Luis Santos",
note = "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{\textquoteright}Investissement d{\textquoteright}Avenir” under Contract No. ANR-17-EURE-0024.",
year = "2020",
month = jun,
day = "29",
doi = "10.1103/PhysRevLett.125.010401",
language = "English",
volume = "125",
pages = "010401",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "1",
}