Phase Transitions without gap closing in monitored quantum mean-field systems

Fuente: arXiv
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Main Authors: Capizzi, Luca, Travaglino, Riccardo
Format: Preprint
Published: 2025
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author Capizzi, Luca
Travaglino, Riccardo
author_facet Capizzi, Luca
Travaglino, Riccardo
contents We investigate the monitored dynamics of many-body quantum systems in which projective measurements of extensive operators are alternated with unitary evolution. Focusing on mean-field models characterized by all-to-all interactions, we develop a general framework that captures the thermodynamic limit, where a semiclassical description naturally emerges. Remarkably, we uncover novel stationary states, distinct from the conventional infinite-temperature state, that arise upon taking the infinite-volume limit. Counterintuitively, this phenomenon is not linked to the closing of the Lindbladian gap in that limit. We provide analytical explanation for this unexpected behavior.
format Preprint
id arxiv_https___arxiv_org_abs_2512_04201
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Phase Transitions without gap closing in monitored quantum mean-field systems
Capizzi, Luca
Travaglino, Riccardo
Statistical Mechanics
Quantum Physics
We investigate the monitored dynamics of many-body quantum systems in which projective measurements of extensive operators are alternated with unitary evolution. Focusing on mean-field models characterized by all-to-all interactions, we develop a general framework that captures the thermodynamic limit, where a semiclassical description naturally emerges. Remarkably, we uncover novel stationary states, distinct from the conventional infinite-temperature state, that arise upon taking the infinite-volume limit. Counterintuitively, this phenomenon is not linked to the closing of the Lindbladian gap in that limit. We provide analytical explanation for this unexpected behavior.
title Phase Transitions without gap closing in monitored quantum mean-field systems
topic Statistical Mechanics
Quantum Physics
url https://arxiv.org/abs/2512.04201