01122nas a2200169 4500008004100000245008500041210007000126260001300196490000800209520061300217100001700830700001800847700001500865700001600880700001900896856003700915 2020 eng d00aThe operator Lévy flight: light cones in chaotic long-range interacting systems0 aoperator Lévy flight light cones in chaotic longrange interactin c7/6/20200 v1243 a
We propose a generic light cone phase diagram for chaotic long-range r−α interacting systems, where a linear light cone appears for α≥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 Lévy 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.
1 aZhou, Tianci1 aXu, Shenglong1 aChen, Xiao1 aGuo, Andrew1 aSwingle, Brian uhttps://arxiv.org/abs/1909.08646