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arXiv · 2306.12467

Localised Dynamics in the Floquet Quantum East Model

Bruno Bertini·Pavel Kos·Tomaz Prosen
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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.

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BibTeXRIS

Bruno Bertini, Pavel Kos, Tomaz Prosen. 2023-06-21. Localised Dynamics in the Floquet Quantum East Model. https://doi.org/10.1103/physrevlett.132.080401

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