Measurement-induced symmetry restoration and quantum Mpemba effect
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866909782642786304 |
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| author | Di Giulio, Giuseppe Turkeshi, Xhek Murciano, Sara |
| author_facet | Di Giulio, Giuseppe Turkeshi, Xhek Murciano, Sara |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19506 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Measurement-induced symmetry restoration and quantum Mpemba effect Di Giulio, Giuseppe Turkeshi, Xhek Murciano, Sara Quantum Physics Statistical Mechanics 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. |
| title | Measurement-induced symmetry restoration and quantum Mpemba effect |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2502.19506 |