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arXiv · 2105.09959

Suppression of heating by long-range interactions in periodically driven spin chains

Devendra Singh Bhakuni·Lea F. Santos·Yevgeny Bar Lev
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Abstract

We propose a mechanism to suppress heating in periodically driven many-body quantum systems by employing sufficiently long-range interactions and experimentally relevant initial conditions. The mechanism is robust to local perturbations and does \emph{not} rely on disorder or high driving frequencies. Instead, it makes use of an approximate fragmentation of the many-body spectrum of the non-driven system into bands, with band gaps that grow with the system size. We show that when these systems are driven, there is a regime where \emph{decreasing} the driving frequency \emph{decreases} heating and entanglement build-up. This is demonstrated numerically for a prototypical system of spins in one dimension, but the results can be readily generalized to higher dimensions.

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Devendra Singh Bhakuni, Lea F. Santos, Yevgeny Bar Lev. 2021-05-20. Suppression of heating by long-range interactions in periodically driven spin chains. https://doi.org/10.1103/physrevb.104.l140301

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