Seminar "Onset of Random Matrix Behavior in Scrambling Systems" by Masanori Hanada

• Date: Mar 26 (Mon)
• Time: 11:00-12:00
• Venue: C015, Lab1
• Speaker: Masanori Hanada, Associate Professor, Kyoto Univ. / Univ. of Colorado

Onset of Random Matrix Behavior in Scrambling Systems

Random Matrix Theory (RMT) provides us with a simple characterization of quantum chaos: if the level statistics at small energy separation agrees with RMT, one concludes the system under consideration is chaotic. Equivalently, the long-time behavior of correlation functions in a chaotic system become featureless after some time scale. The early-time behavior contains non-universal information about the specific system. We study the physical interpretation of this time scale. Firstly we explain our motivations to study this time scale. Then we argue that this time scale should be the diffusion time. This talk will be based on a paper in preparation with Hrant Gharibyan, Stephen Shenker and Masaki Tezuka.

Hosted by Mathematical and Theoretical Physics Unit