Entanglement in a fermion chain under continuous monitoring

Cao, Xiangyu; Tilloy, Antoine; De Luca, Andrea

doi:10.21468/SciPostPhys.7.2.024

Title: Entanglement in a fermion chain under continuous monitoring

Journal Article · 23 August 2019 · SciPost Physics

DOI: https://doi.org/10.21468/SciPostPhys.7.2.024 · OSTI ID:1564442

Cao, Xiangyu ^[1]; Tilloy, Antoine ^[2]; De Luca, Andrea ^[3]

University of California, Berkeley
Max Planck Institute of Quantum Optics
Rudolf Peierls Centre for Theoretical Physics, University of Oxford

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.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0019380

OSTI ID:: 1564442

Journal Information:: SciPost Physics, Journal Name: SciPost Physics Journal Issue: 2 Vol. 7; ISSN 2542-4653

Publisher:: Stichting SciPostCopyright Statement

Country of Publication:: Netherlands

Language:: English

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