Dynamical freezing in the thermodynamic limit: the strongly driven ensemble

• URL: http://arxiv.org/abs/2410.11050v1
• Date: Mon, 14 Oct 2024 19:57:43 GMT
• Title: Dynamical freezing in the thermodynamic limit: the strongly driven ensemble
• Authors: Asmi Haldar, Anirban Das, Sagnik Chaudhuri, Luke Staszewski, Alexander Wietek, Frank Pollmann, Roderich Moessner, Arnab Das,
• Abstract summary: A periodically driven (Floquet) system in the absence of any conservation law heats to a featureless infinite temperature' state. Here, we find--for a clean and interacting generic spin chain--that this can be prevented by the emergence of it approximate but stable conservation-laws not present in the undriven system. We show numerically, it in the thermodynamic limit,' that when required by these emergent conservation-laws, the entanglement-entropy density of an infinite subsystem remains zero.
• Score: 37.31317754926534
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• Abstract: The ergodicity postulate, a foundational pillar of Gibbsian statistical mechanics predicts that a periodically driven (Floquet) system in the absence of any conservation law heats to a featureless `infinite temperature' state. Here, we find--for a clean and interacting generic spin chain subject to a {\it strong} driving field--that this can be prevented by the emergence of {\it approximate but stable} conservation-laws not present in the undriven system. We identify their origin: they do not necessarily owe their stability to familiar protections by symmetry, topology, disorder, or even high energy costs. We show numerically, {\it in the thermodynamic limit,} that when required by these emergent conservation-laws, the entanglement-entropy density of an infinite subsystem remains zero over our entire simulation time of several decades in natural units. We further provide a recipe for designing such conservation laws with high accuracy. Finally, we present an ensemble description, which we call the strongly driven ensemble incorporating these constraints. This provides a way to control many-body chaos through stable Floquet-engineering. Strong signatures of these conservation-laws should be experimentally accessible since they manifest in all length and time scales. Variants of the spin model we have used, have already been realized using Rydberg-dressed atoms.

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