# Locality and heating in periodically driven, power-law-interacting systems.

@article{Tran2019LocalityAH,
title={Locality and heating in periodically driven, power-law-interacting systems.},
author={Minh C. Tran and Adam Ehrenberg and Andrew Y Guo and Paraj Titum and Dmitry A. Abanin and Alexey V. Gorshkov},
journal={Physical review. A},
year={2019},
volume={100 5}
}
• Published 7 August 2019
• Mathematics
• Physical review. A
We study the heating time in periodically driven D-dimensional systems with interactions that decay with the distance r as a power law 1 / r α . Using linear-response theory, we show that the heating time is exponentially long as a function of the drive frequency for α > D . For systems that may not obey linear-response theory, we use a more general Magnus-like expansion to show the existence of quasiconserved observables, which imply exponentially long heating time, for α > 2 D . We also…
22 Citations

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