Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev model

Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev model

Abstract Sachdev-Ye-Kitaev (SYK) is a concrete solvable model with non-Fermi liquid behavior and maximal chaos. In this work, we study the entanglement Rényi entropy for the subsystems of the SYK model in the Kourkoulou-Maldacena states. We use the path-integral approach and take the saddle point ap...

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Main Author: Pengfei Zhang
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Journal of High Energy Physics
Subjects:
1/N Expansion
Field Theories in Lower Dimensions
Models of Quantum Gravity
Online Access:http://link.springer.com/article/10.1007/JHEP06(2020)143
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spelling doaj-bc12e568ea51417b9ed87272938343ac2020-11-25T03:46:46ZengSpringerOpenJournal of High Energy Physics1029-84792020-06-012020612010.1007/JHEP06(2020)143Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev modelPengfei Zhang0Walter Burke Institute for Theoretical Physics, California Institute of TechnologyAbstract Sachdev-Ye-Kitaev (SYK) is a concrete solvable model with non-Fermi liquid behavior and maximal chaos. In this work, we study the entanglement Rényi entropy for the subsystems of the SYK model in the Kourkoulou-Maldacena states. We use the path-integral approach and take the saddle point approximation in the large-N limit. We find a first-order transition exist when tuning the subsystem size for the q = 4 case, while it is absent for the q = 2 case. We further study the entanglement dynamics for such states under the real-time evolution for noninteracting, weakly interacting and strongly interacting SYK(-like) models.http://link.springer.com/article/10.1007/JHEP06(2020)1431/N ExpansionField Theories in Lower DimensionsModels of Quantum Gravity
collection DOAJ
language English
format Article
sources DOAJ
author Pengfei Zhang
spellingShingle Pengfei Zhang
Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev model
Journal of High Energy Physics
1/N Expansion
Field Theories in Lower Dimensions
Models of Quantum Gravity
author_facet Pengfei Zhang
author_sort Pengfei Zhang
title Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev model
title_short Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev model
title_full Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev model
title_fullStr Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev model
title_full_unstemmed Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev model
title_sort entanglement entropy and its quench dynamics for pure states of the sachdev-ye-kitaev model
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2020-06-01
description Abstract Sachdev-Ye-Kitaev (SYK) is a concrete solvable model with non-Fermi liquid behavior and maximal chaos. In this work, we study the entanglement Rényi entropy for the subsystems of the SYK model in the Kourkoulou-Maldacena states. We use the path-integral approach and take the saddle point approximation in the large-N limit. We find a first-order transition exist when tuning the subsystem size for the q = 4 case, while it is absent for the q = 2 case. We further study the entanglement dynamics for such states under the real-time evolution for noninteracting, weakly interacting and strongly interacting SYK(-like) models.
topic 1/N Expansion
Field Theories in Lower Dimensions
Models of Quantum Gravity
url http://link.springer.com/article/10.1007/JHEP06(2020)143
work_keys_str_mv AT pengfeizhang entanglemententropyanditsquenchdynamicsforpurestatesofthesachdevyekitaevmodel
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