量子论坛第五讲：

报告题目：Holographic Butterfly Effect and Phase Transition

报告人：凌意研究员

报告时间：2017年1月23日10:30—11:30

报告地点：量子楼410报告厅

报告摘要：When the Lyapunov exponent in a quantum chaotic system saturates thebound, it is proposed that this system has a holographic dual described by agravity theory. In particular, the butterfly effect as a prominent phenomenonof chaos can ubiquitously exist in a black hole system characterized by ashockwave solution near the horizon. We propose that the butterfly velocity canbe used to diagnose phase transition in holographic theories. We provideevidences for this proposal with two sorts of holographic models. One is theholographic superconductors, in which we find the derivative of butterflyvelocity with respect to the temperature is discontinuous at critical points.The other sort of holographic models exhibit metal-insulator transition (MIT)which is supposed to be quantum. We find the derivative of butterfly velocitywith respect to system parameters characterizes quantum critical points (QCP)with local extremes. We also point out that this proposal can be tested byexperiments in the light of recent progress on the measurement ofout-of-time-order correlation function (OTOC).

报告人简介：中国科学院高能物理研究所研究员，博士生导师。研究方向是引力与相对论天体物理，主持多项国家自然科学基金及人才项目。