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Title: Entanglement in a fermion chain under continuous monitoring

Abstract

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.

Authors:
 [1];  [2];  [3]
  1. University of California, Berkeley
  2. Max Planck Institute of Quantum Optics
  3. Rudolf Peierls Centre for Theoretical Physics, University of Oxford
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1564442
Grant/Contract Number:  
SC0019380
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
Journal Name: SciPost Physics Proceedings Journal Volume: 7 Journal Issue: 2; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English

Citation Formats

Cao, Xiangyu, Tilloy, Antoine, and De Luca, Andrea. Entanglement in a fermion chain under continuous monitoring. Netherlands: N. p., 2019. Web. doi:10.21468/SciPostPhys.7.2.024.
Cao, Xiangyu, Tilloy, Antoine, & De Luca, Andrea. Entanglement in a fermion chain under continuous monitoring. Netherlands. doi:10.21468/SciPostPhys.7.2.024.
Cao, Xiangyu, Tilloy, Antoine, and De Luca, Andrea. Fri . "Entanglement in a fermion chain under continuous monitoring". Netherlands. doi:10.21468/SciPostPhys.7.2.024.
@article{osti_1564442,
title = {Entanglement in a fermion chain under continuous monitoring},
author = {Cao, Xiangyu and Tilloy, Antoine and De Luca, Andrea},
abstractNote = {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.},
doi = {10.21468/SciPostPhys.7.2.024},
journal = {SciPost Physics Proceedings},
number = 2,
volume = 7,
place = {Netherlands},
year = {2019},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.21468/SciPostPhys.7.2.024

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