Entanglement in a fermion chain under continuous monitoring

Xiangyu Cao, Antoine Tilloy, Andrea De Luca

SciPost Phys. 7, 024 (2019) · published 23 August 2019

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.


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Entanglement Free fermions Quasiparticles

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