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Entanglement in a fermion chain under continuous monitoring

by Xiangyu Cao, Antoine Tilloy, Andrea De Luca

Submission summary

As Contributors: Xiangyu Cao
Arxiv Link: https://arxiv.org/abs/1804.04638v4
Date submitted: 2019-06-10
Submitted by: Cao, Xiangyu
Submitted to: SciPost Physics
Domain(s): Theor. & Comp.
Subject area: Quantum Physics

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.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1804.04638v4 on 10 June 2019

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