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Entanglement dynamics with string measurement operators

by Giulia Piccitto, Angelo Russomanno, Davide Rossini

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Giulia Piccitto · Davide Rossini
Submission information
Preprint Link: scipost_202303_00025v2  (pdf)
Date accepted: 2023-10-26
Date submitted: 2023-10-20 17:34
Submitted by: Piccitto, Giulia
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Quantum Physics
Approaches: Theoretical, Computational

Abstract

We explain how to apply a Gaussian-preserving operator to a fermionic Gaussian state. We use this method to study the evolution of the entanglement entropy of an Ising spin chain following a Lindblad dynamics with string measurement operators, focusing on the quantum-jump unraveling of such Lindbladian. We find that the asymptotic entanglement entropy obeys an area law for finite-range string operators and a volume law for ranges of the string which scale with the system size. The same behavior is observed for the measurement-only dynamics, suggesting that measurements can play a leading role in this context.

Author comments upon resubmission

'Following the questions and requests by the two Referees, we have performed additional simulations and produced an amended version of the manuscript.
For details see the reply to the Referees.

List of changes

We changed Fig. 4 and the related discussion in the main text
We fixed minor issues
We updated some references with the published version

Published as SciPost Phys. Core 6, 078 (2023)

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