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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: | Oct. 26, 2023 |
| Date submitted: | Oct. 20, 2023, 5:34 p.m. |
| Submitted by: | Giulia Piccitto |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| 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.
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
We fixed minor issues
We updated some references with the published version
Published as SciPost Phys. Core 6, 078 (2023)