MS Seminar (Mathematics - String Theory)

Speaker: Masanori Hanada (Kyoto U)
Title: Random Matrices in Classical and Quantum Chaos
Date: Thu, Sep 21, 2017, 13:15 - 14:30
Place: Seminar Room B
Abstract: We study the time evolution of a matrix model of quantum black hole, putting emphasis on its chaotic features. In particular we study the statistical property of the Lyapunov exponents in the classical limit. It turned out that they are described by Random Matrix Theory (RMT). We study other chaotic systems and find such RMT-description holds for all chaotic systems we have considered. Currently we are trying to figure out the generalization of this universality to quantum chaos. Any comments will be appreciated! If time permits we will also explain some other results on the quantum chaos as well.

This talk is based on arXiv:1512.00019 [hep-th] and arXiv:1702.06935 [hep-th] (and arXiv:1611.04650 [hep-th], if time permits).