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:
-
- University of California, Berkeley
- Max Planck Institute of Quantum Optics
- 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. https://doi.org/10.21468/SciPostPhys.7.2.024
Cao, Xiangyu, Tilloy, Antoine, and De Luca, Andrea. Fri .
"Entanglement in a fermion chain under continuous monitoring". Netherlands. https://doi.org/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}
}
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https://doi.org/10.21468/SciPostPhys.7.2.024
https://doi.org/10.21468/SciPostPhys.7.2.024
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