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.
Cited by 2
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