Exact pre-transition effects in kinetically constrained circuits: dynamical fluctuations in the Floquet-East model

Abstract

We study the dynamics of a classical circuit corresponding to a discrete-time kinetically constrained East model. We show that this classical "Floquet-East" model displays pre-transition behaviour which is a dynamical equivalent of the hydrophobic effect in water. For the deterministic version of the model we prove exactly: (i) a change in scaling with size in the probability of inactive space-time regions (akin to the "energy-entropy" crossover of the solvation free energy in water), (ii) a first-order phase transition in the dynamical large deviations, (iii) the existence of the optimal geometry for local phase separation to accommodate space-time solutes, and (iv) a dynamical analog of "hydrophobic collapse".

15 pages, 5 figures; v4 final version, as appears in Phys. Rev. E

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Cited by in corpus (10)

• Exactly solvable many-body dynamics from space-time duality
• Dynamical heterogeneity and large deviations in the open quantum East glass model from tensor networks
• Exact results on the dynamics of the stochastic Floquet-East model
• State-dependent mobility edge in kinetically constrained models
• Geometric constructions of generalized dual-unitary circuits from biunitarity
• Remarkable similarities in distributions of dynamical observables in chaotic systems
• Phase transition from localization to chaos in classical many-body system
• Vanishing correlations in stochastic and bistochastic controlled circuits
• Revealing emergent many-body phenomena by analyzing large-scale space-time records of monitored quantum systems
• Exact large deviations and emergent long-range correlations in sequential quantum East circuits