Details
| Original language | English |
|---|---|
| Article number | 010401 |
| Pages (from-to) | 010401 |
| Number of pages | 5 |
| Journal | Physical Review Letters |
| Volume | 125 |
| Issue number | 1 |
| Publication status | Published - 29 Jun 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.
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In: Physical Review Letters, Vol. 125, No. 1, 010401, 29.06.2020, p. 010401.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Universal algebraic growth of entanglement entropy in many-body localized systems with power-law interactions
AU - Deng, Xiaolong
AU - Masella, Guido
AU - Pupillo, Guido
AU - Santos, Luis
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.
PY - 2020/6/29
Y1 - 2020/6/29
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85088212278&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.125.010401
DO - 10.1103/PhysRevLett.125.010401
M3 - Article
C2 - 32678649
AN - SCOPUS:85088212278
VL - 125
SP - 010401
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 1
M1 - 010401
ER -