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Dynamical Phase Transitions from Fast to Slow Scrambling in Solvable Models

Speaker:Prof. Sumilan Banerjee
Affiliation:Department of Physics, Indian Institute of Science
Date:April 3, 2018 (Tuesday)
Time:4:30 p.m.
Venue:Room 522, 5/F, Chong Yuet Ming Physics Building, HKU


Alexei Kitaev has recently given a new interpretation to a zero dimensional solvable model of interacting fermions, now known as Sachdve-Ye-Kitaev (SYK) model, connecting it to thermalisation, many-body quantum chaos and information scrambling in black holes. The correlations that diagnose quantum chaos has been computed in this model leading to a Lyapunov exponent or scrambling rate with a universal value 2πkBT/ћ at temperature T. The SYK model is now understood as a fixed point for a certain class of quantum chaotic behavior. I will discuss two related solvable models, one in zero and other in higher dimensions, that extend this classification by exhibiting dynamical transitions between distinct chaotic fixed points, i.e from fast scrambling non-Fermi liquid phases with linear-T scrambling rate to Fermi liquid-like phase with much slower scrambling rate, e.g. proportional to T2.

Coffee and tea will be served 20 minutes prior to the seminar.

Anyone interested is welcome to attend.