标题： 混沌与简单旋转等离子体中的极点跳过 显示英文标题

标题： Chaos and pole-skipping in a simply spinning plasma

摘要： 我们研究了全息量子场论中多体量子混沌与能量动力学之间的关系，该理论对应于简单旋转的Myers-Perry-AdS$_5$黑洞。 这种黑洞的增强对称性使我们能够对极点跳过现象进行详尽的检查，这比之前对与Kerr-AdS$_4$解对应的量子场论态的分析要简单得多。 特别是，我们给出了一个一般性的证明，在双量子场论的滞后能量密度格林函数中，当能量涨落的空间分布满足控制OTOC形式的冲击波方程时，会出现极点跳过现象。 此外，在大黑洞极限下，我们能够得到在Hopf圆上的算符配置的OTOC的简单解析表达式，并证明相关的李雅普诺夫指数和蝴蝶速度与能量响应中的一族极点跳过点的位置有稳健的关系。 最后，我们注意到，与以前的研究不同，我们的结果适用于任何旋转值，并且我们能够数值地证明能量响应中的声模式色散关系明确地穿过我们的极点跳过位置。 显示英文摘要

摘要： We study the relationship between many-body quantum chaos and energy dynamics in holographic quantum field theory states dual to the simply-spinning Myers-Perry-AdS$_5$ black hole. The enhanced symmetry of such black holes allows us to provide a thorough examination of the phenomenon of pole-skipping, that is significantly simpler than a previous analysis of quantum field theory states dual to the Kerr-AdS$_4$ solution. In particular we give a general proof of pole-skipping in the retarded energy density Green's function of the dual quantum field theory whenever the spatial profile of energy fluctuations satisfies the shockwave equation governing the form of the OTOC. Furthermore, in the large black hole limit we are able to obtain a simple analytic expression for the OTOC for operator configurations on Hopf circles, and demonstrate that the associated Lyapunov exponent and butterfly velocity are robustly related to the locations of a family of pole-skipping points in the energy response. Finally, we note that in contrast to previous studies, our results are valid for any value of rotation and we are able to numerically demonstrate that the dispersion relations of sound modes in the energy response explicitly pass through our pole-skipping locations.