Observing weakly broken conservation laws in a dipolar Rydberg quantum spin chain

Fuente: arXiv
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Auteurs principaux: Chen, Cheng, Capizzi, Luca, Marché, Alice, Bornet, Guillaume, Emperauger, Gabriel, Lahaye, Thierry, Browaeys, Antoine, Fagotti, Maurizio, Mazza, Leonardo
Format: Preprint
Publié: 2026
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author Chen, Cheng
Capizzi, Luca
Marché, Alice
Bornet, Guillaume
Emperauger, Gabriel
Lahaye, Thierry
Browaeys, Antoine
Fagotti, Maurizio
Mazza, Leonardo
author_facet Chen, Cheng
Capizzi, Luca
Marché, Alice
Bornet, Guillaume
Emperauger, Gabriel
Lahaye, Thierry
Browaeys, Antoine
Fagotti, Maurizio
Mazza, Leonardo
contents Integrable quantum many-body systems host families of extensive conservation laws, some of which are fragile: even infinitesimal perturbations can qualitatively alter their dynamical constraints. Here we show that this fragility leaves a clear experimental fingerprint in a one-dimensional quantum spin chain of as few as 14 Rydberg atoms. Weak integrability breaking from interatomic dipolar couplings is directly detectable within experimentally accessible times in the dynamics of non-local observables. In particular, magnetization fluctuations are highly sensitive to the breaking of fragile conservation laws and exhibit anomalous growth, which we observe experimentally; similar signatures appear in a semilocal string observable. Numerical simulations on substantially longer chains and a simplified classical stochastic model reproduce those features. We establish non-local observables as a sensitive probe of fragile conservation laws in quantum spin chains and Rydberg-atom arrays as a platform to test perturbative descriptions of quantum many-body dynamics with weak integrability breaking.
format Preprint
id arxiv_https___arxiv_org_abs_2602_02251
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Observing weakly broken conservation laws in a dipolar Rydberg quantum spin chain
Chen, Cheng
Capizzi, Luca
Marché, Alice
Bornet, Guillaume
Emperauger, Gabriel
Lahaye, Thierry
Browaeys, Antoine
Fagotti, Maurizio
Mazza, Leonardo
Quantum Gases
Statistical Mechanics
Quantum Physics
Integrable quantum many-body systems host families of extensive conservation laws, some of which are fragile: even infinitesimal perturbations can qualitatively alter their dynamical constraints. Here we show that this fragility leaves a clear experimental fingerprint in a one-dimensional quantum spin chain of as few as 14 Rydberg atoms. Weak integrability breaking from interatomic dipolar couplings is directly detectable within experimentally accessible times in the dynamics of non-local observables. In particular, magnetization fluctuations are highly sensitive to the breaking of fragile conservation laws and exhibit anomalous growth, which we observe experimentally; similar signatures appear in a semilocal string observable. Numerical simulations on substantially longer chains and a simplified classical stochastic model reproduce those features. We establish non-local observables as a sensitive probe of fragile conservation laws in quantum spin chains and Rydberg-atom arrays as a platform to test perturbative descriptions of quantum many-body dynamics with weak integrability breaking.
title Observing weakly broken conservation laws in a dipolar Rydberg quantum spin chain
topic Quantum Gases
Statistical Mechanics
Quantum Physics
url https://arxiv.org/abs/2602.02251