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Colloquium
Speaker
Sumilan Banerjee ( Weizmann Institute of Science, Israel)
Date & Time
16 January 2017, 15:00 to 16:00
Venue
Emmy Noether Seminar Room, ICTS Campus, Bangalore
Resources
Abstract

Alexei Kitaev has recently given a new interpretation to a solvable model of interacting fermions, now known as Sachdve-Ye-Kitaev (SYK) model, connecting it to thermalization, quantum chaos and information scrambling in black holes. The correlations that diagnose quantum chaos has been computed in this model leading to a 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. We propose a generalized model that extends this classification. In the generalized model, we couple N sites forming the SYK model to another set of M sites, connected to each other only via quadratic coupling. In the solvable limit of large N,M we find a quantum phase transition tuned by the ratio p=M/N from a non Fermi liquid SYK like phase to a Fermi liquid. We show that the entire SYK-like phase shows scrambling at the universal rate 2πkBT/ћ at low temperature whereas the Fermi-liquid like phase shows much slower scrambling, proportional to T2.