Data and Code for "Measurement-induced symmetry restoration and quantum Mpemba effect"

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Autores principales: Turkeshi, Xhek, Murciano, Sara
Formato: Recurso digital
Publicado: Zenodo 2025
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author Turkeshi, Xhek
Murciano, Sara
author_facet Turkeshi, Xhek
Murciano, Sara
contents <p>Monitoring a quantum system can profoundly alter its dynamical properties, leading to nontrivial emergent phenomena. In this work, we demonstrate that dynamical measurements strongly influence the evolution of symmetry in many-body quantum systems. Specifically, we demonstrate that monitored systems governed by non-Hermitian dynamics exhibit a quantum Mpemba effect, where systems with stronger initial asymmetry relax faster to a symmetric state. Crucially, this phenomenon is purely measurement-induced: in the absence of measurements, we find states where the corresponding unitary evolution does not display any Mpemba effect. Furthermore, we uncover a novel measurement-induced symmetry restoration mechanism: below a critical measurement rate, the symmetry remains broken, but beyond a threshold, it is fully restored in the thermodynamic limit--along with the emergence of the quantum Mpemba effect.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_15181115
institution Zenodo
language
publishDate 2025
publisher Zenodo
record_format zenodo
spellingShingle Data and Code for "Measurement-induced symmetry restoration and quantum Mpemba effect"
Turkeshi, Xhek
Murciano, Sara
<p>Monitoring a quantum system can profoundly alter its dynamical properties, leading to nontrivial emergent phenomena. In this work, we demonstrate that dynamical measurements strongly influence the evolution of symmetry in many-body quantum systems. Specifically, we demonstrate that monitored systems governed by non-Hermitian dynamics exhibit a quantum Mpemba effect, where systems with stronger initial asymmetry relax faster to a symmetric state. Crucially, this phenomenon is purely measurement-induced: in the absence of measurements, we find states where the corresponding unitary evolution does not display any Mpemba effect. Furthermore, we uncover a novel measurement-induced symmetry restoration mechanism: below a critical measurement rate, the symmetry remains broken, but beyond a threshold, it is fully restored in the thermodynamic limit--along with the emergence of the quantum Mpemba effect.</p>
title Data and Code for "Measurement-induced symmetry restoration and quantum Mpemba effect"
url https://doi.org/10.5281/zenodo.15181115