Exact results on the dynamics of the stochastic Floquet-East model

Abstract

We introduce a stochastic generalisation of the classical deterministic Floquet-East model, a discrete circuit with the same kinetic constraint as the East model of glasses. We prove exactly that, in the limit of long time and large size, this model has a large deviation phase transition between active and inactive dynamical phases. We also compute the finite time and size scaling of general space-time fluctuations, which for the case of inactive regions gives rise to dynamical hydrophobicity. We also discuss how, through the Trotter limit, these exact results also hold for the continuous-time East model, thus proving long-standing observations in kinetically constrained models. Our results here illustrate the applicability of exact tensor network methods for solving problems in many-body stochastic systems.

14 pages, 3 figures

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Cited by in corpus (5)

• Space-time correlations in monitored kinetically constrained discrete-time quantum dynamics
• Phase transition from localization to chaos in classical many-body system
• Remarkable similarities in distributions of dynamical observables in chaotic systems
• Vanishing correlations in stochastic and bistochastic controlled circuits
• Revealing emergent many-body phenomena by analyzing large-scale space-time records of monitored quantum systems