# 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} }

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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