Probing the Crossover between Dynamical Phases with Local Correlations in a Rydberg Atom Array

• URL: http://arxiv.org/abs/2512.12695v1
• Date: Sun, 14 Dec 2025 13:57:25 GMT
• Title: Probing the Crossover between Dynamical Phases with Local Correlations in a Rydberg Atom Array
• Authors: Xiaofeng Wu, Xin Wang, Sixun Jia, Bo Xiong,
• Abstract summary: Local connected correlation functions provide a superior, practical means to directly probe the dynamics of magnetic order in a quenched Rydberg atom array.<n>By shifting the focus from global singularities to local correlations, our protocol establishes a direct and feasible path to observe the rich critical dynamics in scalable quantum simulators.
• Score: 17.899354023887025
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The experimental detection of non-equilibrium quantum criticality remains a challenge, as traditional signatures like dynamical quantum phase transitions rely on hard-to-measure global properties. Here, we demonstrate that local connected correlation functions provide a superior, practical means to directly probe the dynamics of magnetic order in a quenched Rydberg atom array. Using a Magnus expansion formalism, we derive analytic expressions for these correlations that capture a smooth crossover from antiferromagnetic to ferromagnetic dominance. Our analytic results, which reveal the critical parameter relationship $U_{c}(δ)$, are validated against exact numerical simulations and exhibit robustness to finite-size effects. By shifting the focus from global singularities to local correlations, our protocol establishes a direct and feasible path to observe the rich critical dynamics in scalable quantum simulators.

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