



@article {2456,
	title = {The operator L{\'e}vy flight: light cones in chaotic long-range interacting systems},
	journal = {Phys. Rev. Lett. },
	volume = {124},
	year = {2020},
	month = {7/6/2020},
	abstract = {<p>We propose a generic light cone phase diagram for chaotic long-range r\&minus;α interacting systems, where a linear light cone appears for α\&ge;d+1/2 in d dimension. Utilizing the dephasing nature of quantum chaos, we argue that the universal behavior of the squared commutator is described by a stochastic model, for which the exact phase diagram is known. We provide an interpretation in terms of the L{\'e}vy flights and show that this suffices to capture the scaling of the squared commutator. We verify these phenomena in numerical computation of a long-range spin chain with up to 200 sites.\&nbsp;</p>},
	doi = {https://doi.org/10.1103/PhysRevLett.124.180601},
	url = {https://arxiv.org/abs/1909.08646},
	author = {Tianci Zhou and Shenglong Xu and Xiao Chen and Andrew Guo and Brian Swingle}
}
