Entanglement in a fermion chain under continuous monitoring
Xiangyu Cao, Antoine Tilloy, Andrea De Luca
SciPost Phys. 7, 024 (2019) · published 23 August 2019
- doi: 10.21468/SciPostPhys.7.2.024
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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.
TY - JOUR
PB - SciPost Foundation
DO - 10.21468/SciPostPhys.7.2.024
TI - Entanglement in a fermion chain under continuous monitoring
PY - 2019/08/23
UR - https://www.scipost.org/SciPostPhys.7.2.024
JF - SciPost Physics
JA - SciPost Phys.
VL - 7
IS - 2
SP - 024
A1 - Cao, Xiangyu
AU - Tilloy, Antoine
AU - De Luca, Andrea
AB - 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.
ER -
@Article{10.21468/SciPostPhys.7.2.024,
title={{Entanglement in a fermion chain under continuous monitoring}},
author={Xiangyu Cao and Antoine Tilloy and Andrea De Luca},
journal={SciPost Phys.},
volume={7},
pages={024},
year={2019},
publisher={SciPost},
doi={10.21468/SciPostPhys.7.2.024},
url={https://scipost.org/10.21468/SciPostPhys.7.2.024},
}
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Ontology / Topics
See full Ontology or Topics database.Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Xiangyu Cao,
- 2 Antoine Tilloy,
- 3 Andrea De Luca
- 1 University of California, Berkeley [UCBL]
- 2 Max-Planck-Institut für Quantenoptik / Max Planck Institute of Quantum Optics [MPQ]
- 3 Rudolf Peierls Centre for Theoretical Physics, University of Oxford
Funders for the research work leading to this publication