Entanglement in a fermion chain under continuous monitoring

Entanglement in a fermion chain under continuous monitoring

We study the entanglement entropy of the quantum trajectories of a free fermion chain under continuous monitoring of local occupation numbers. We propose a simple theory for entanglement entropy evolution from disentangled and highly excited initial states. It is based on generalized hydrodynamic...

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Main Author: Xiangyu Cao, Antoine Tilloy, Andrea De Luca
Format: Article
Language:English
Published: SciPost 2019-08-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.7.2.024
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spelling doaj-101b185bc9e549cfbbde03ae9cf821c82020-11-25T02:36:36ZengSciPostSciPost Physics2542-46532019-08-017202410.21468/SciPostPhys.7.2.024Entanglement in a fermion chain under continuous monitoringXiangyu Cao, Antoine Tilloy, Andrea De LucaWe study the entanglement entropy of the quantum trajectories of a free fermion chain under continuous monitoring of local occupation numbers. We propose a simple theory for entanglement entropy evolution from disentangled and highly excited initial states. It is based on generalized hydrodynamics and the quasi-particle pair approach to entanglement in integrable systems. We test several quantitative predictions of the theory against extensive numerics and find good agreement. In particular, the volume law entanglement is destroyed by the presence of arbitrarily weak measurement.https://scipost.org/SciPostPhys.7.2.024
collection DOAJ
language English
format Article
sources DOAJ
author Xiangyu Cao, Antoine Tilloy, Andrea De Luca
spellingShingle Xiangyu Cao, Antoine Tilloy, Andrea De Luca
Entanglement in a fermion chain under continuous monitoring
SciPost Physics
author_facet Xiangyu Cao, Antoine Tilloy, Andrea De Luca
author_sort Xiangyu Cao, Antoine Tilloy, Andrea De Luca
title Entanglement in a fermion chain under continuous monitoring
title_short Entanglement in a fermion chain under continuous monitoring
title_full Entanglement in a fermion chain under continuous monitoring
title_fullStr Entanglement in a fermion chain under continuous monitoring
title_full_unstemmed Entanglement in a fermion chain under continuous monitoring
title_sort entanglement in a fermion chain under continuous monitoring
publisher SciPost
series SciPost Physics
issn 2542-4653
publishDate 2019-08-01
description We study the entanglement entropy of the quantum trajectories of a free fermion chain under continuous monitoring of local occupation numbers. We propose a simple theory for entanglement entropy evolution from disentangled and highly excited initial states. It is based on generalized hydrodynamics and the quasi-particle pair approach to entanglement in integrable systems. We test several quantitative predictions of the theory against extensive numerics and find good agreement. In particular, the volume law entanglement is destroyed by the presence of arbitrarily weak measurement.
url https://scipost.org/SciPostPhys.7.2.024
work_keys_str_mv AT xiangyucaoantoinetilloyandreadeluca entanglementinafermionchainundercontinuousmonitoring
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