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Main Authors: Li, Zejian, Delmonte, Anna, Fazio, Rosario
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.18624
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author Li, Zejian
Delmonte, Anna
Fazio, Rosario
author_facet Li, Zejian
Delmonte, Anna
Fazio, Rosario
contents We study monitored quantum dynamics of infinite-range interacting bosonic systems in the thermodynamic limit. We show that under semiclassical assumptions, the quantum fluctuations along single monitored trajectories adopt a deterministic limit for both quantum-jump and state-diffusion unravelings, and they can be exactly solved. In particular, the hierarchical structure of the equations of motion explains the coincidence of entanglement criticalities and dissipative phase transitions found in previous finite-size numerical studies. We illustrate the findings on a Bose-Hubbard dimer and a collective spin system.
format Preprint
id arxiv_https___arxiv_org_abs_2506_18624
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Emergent deterministic entanglement dynamics in monitored infinite-range bosonic systems
Li, Zejian
Delmonte, Anna
Fazio, Rosario
Quantum Physics
Statistical Mechanics
We study monitored quantum dynamics of infinite-range interacting bosonic systems in the thermodynamic limit. We show that under semiclassical assumptions, the quantum fluctuations along single monitored trajectories adopt a deterministic limit for both quantum-jump and state-diffusion unravelings, and they can be exactly solved. In particular, the hierarchical structure of the equations of motion explains the coincidence of entanglement criticalities and dissipative phase transitions found in previous finite-size numerical studies. We illustrate the findings on a Bose-Hubbard dimer and a collective spin system.
title Emergent deterministic entanglement dynamics in monitored infinite-range bosonic systems
topic Quantum Physics
Statistical Mechanics
url https://arxiv.org/abs/2506.18624