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Title: Entanglement dynamics in critical random quantum Ising chain with perturbations

Abstract

We simulate the entanglement dynamics in a critical random quantum Ising chain with generic perturbations using the time-evolving block decimation algorithm. Starting from a product state, we observe super-logarithmic growth of entanglement entropy with time. The numerical result is consistent with the analytical prediction of Vosk and Altman using a real-space renormalization group technique. - Highlights: • We study the dynamical quantum phase transition between many-body localized phases. • We simulate the dynamics of a very long random spin chain with matrix product states. • We observe numerically super-logarithmic growth of entanglement entropy with time.

Authors:
Publication Date:
OSTI Identifier:
22617506
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 380; Other Information: Copyright (c) 2017 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENTROPY; PERTURBATION THEORY; QUANTUM ENTANGLEMENT; RANDOMNESS; RENORMALIZATION

Citation Formats

Huang, Yichen, E-mail: ychuang@caltech.edu. Entanglement dynamics in critical random quantum Ising chain with perturbations. United States: N. p., 2017. Web. doi:10.1016/J.AOP.2017.02.018.
Huang, Yichen, E-mail: ychuang@caltech.edu. Entanglement dynamics in critical random quantum Ising chain with perturbations. United States. doi:10.1016/J.AOP.2017.02.018.
Huang, Yichen, E-mail: ychuang@caltech.edu. Mon . "Entanglement dynamics in critical random quantum Ising chain with perturbations". United States. doi:10.1016/J.AOP.2017.02.018.
@article{osti_22617506,
title = {Entanglement dynamics in critical random quantum Ising chain with perturbations},
author = {Huang, Yichen, E-mail: ychuang@caltech.edu},
abstractNote = {We simulate the entanglement dynamics in a critical random quantum Ising chain with generic perturbations using the time-evolving block decimation algorithm. Starting from a product state, we observe super-logarithmic growth of entanglement entropy with time. The numerical result is consistent with the analytical prediction of Vosk and Altman using a real-space renormalization group technique. - Highlights: • We study the dynamical quantum phase transition between many-body localized phases. • We simulate the dynamics of a very long random spin chain with matrix product states. • We observe numerically super-logarithmic growth of entanglement entropy with time.},
doi = {10.1016/J.AOP.2017.02.018},
journal = {Annals of Physics},
number = ,
volume = 380,
place = {United States},
year = {Mon May 15 00:00:00 EDT 2017},
month = {Mon May 15 00:00:00 EDT 2017}
}