



@article {2458,
	title = {Locality and Heating in Periodically Driven, Power-law Interacting Systems},
	journal = {Phys. Rev. A },
	volume = {100},
	year = {2019},
	month = {2019/11/12},
	abstract = {<p>We study the heating time in periodically driven D-dimensional systems with interactions that decay with the distance r as a power-law 1/rα. Using linear response theory, we show that the heating time is exponentially long as a function of the drive frequency for α\&gt;D. For systems that may not obey linear response theory, we use a more general Magnus-like expansion to show the existence of quasi-conserved observables, which imply exponentially long heating time, for α\&gt;2D. We also generalize a number of recent state-of-the-art Lieb-Robinson bounds for power-law systems from two-body interactions to k-body interactions and thereby obtain a longer heating time than previously established in the literature. Additionally, we conjecture that the gap between the results from the linear response theory and the Magnus-like expansion does not have physical implications, but is, rather, due to the lack of tight Lieb-Robinson bounds for power-law interactions. We show that the gap vanishes in the presence of a hypothetical, tight bound.\&nbsp;</p>},
	doi = {https://doi.org/10.1103/PhysRevA.100.052103},
	url = {https://arxiv.org/abs/1908.02773},
	author = {Minh C. Tran and Adam Ehrenberg and Andrew Y. Guo and Paraj Titum and Dmitry A. Abanin and Alexey V. Gorshkov}
}
