Localised Dynamics in the Floquet Quantum East Model

Abstract

We introduce and study the discrete-time version of the Quantum East model, an interacting quantum spin chain inspired by simple kinetically constrained models of classical glasses. Previous work has established that its continuous-time counterpart displays a disorder-free localisation transition signalled by the appearance of an exponentially large (in the volume) family of non-thermal, localised eigenstates. Here we combine analytical and numerical approaches to show that: i) The transition persists for discrete times, in fact, it is present for any finite value of the time step apart from a zero measure set; ii) It is directly detected by following the non-equilibrium dynamics of the fully polarised state. Our findings imply that the transition is currently observable in state-of-the-art platforms for digital quantum simulation.

6+7 pages; 4+6 figures; v2 as appears in PRL

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Cited by in corpus (18)

• Exact quench dynamics of the Floquet quantum East model at the deterministic point
• Exact solution of long-range stabilizer Rényi entropy in the dual-unitary XXZ model
• Krylov Delocalization/Localization across Ergodicity Breaking
• Exactly solvable many-body dynamics from space-time duality
• Solvable entanglement dynamics in quantum circuits with generalized space-time duality
• Anomalous transport in the kinetically constrained quantum East-West model
• Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
• Dynamical heterogeneity and large deviations in the open quantum East glass model from tensor networks
• Non-thermal eigenstates and slow relaxation in quantum Fredkin spin chains
• Exact results on the dynamics of the stochastic Floquet-East model
• Non-equilibrium dynamics of localization phase transition in the non-Hermitian Disorder-Aubry-André model
• Efficient post-selection in light-cone correlations of monitored quantum circuits
• Space-time correlations in monitored kinetically constrained discrete-time quantum dynamics
• State-dependent mobility edge in kinetically constrained models
• Graph theory and tunable slow dynamics in quantum East Hamiltonians
• Geometric constructions of generalized dual-unitary circuits from biunitarity
• Exact large deviations and emergent long-range correlations in sequential quantum East circuits
• Vanishing correlations in stochastic and bistochastic controlled circuits