Status  Confirmed 
Seminar Series  SEMLPTENS 
Subjects  condmat 
Date  Thursday 17 May 2018 
Time  14:00 
Institute  LPTENS 
Seminar Room  ENS Conf IV 
Speaker's Last Name  De Luca 
Speaker's First Name  Andrea 
Speaker's Email Address  
Speaker's Institution  Oxford 
Title  Solution of a Minimal Model for ManyBody Quantum Chaos 
Abstract  I will present a minimal model for quantum chaos in a spatially extended manybody system. It consists of a chain of sites with nearestneighbour coupling under Floquet time evolution. Quantum states at each site span a qdimensional Hilbert space and the time evolution is specified as a random circuit, which is random in space but periodic in time (Floquet). Each site is coupled via a random matrix to its neighbour on one side during the first half of the evolution period, and to its neighbour on the other side during the second half of the period. I will introduce a diagrammatic formalism useful to average the many body dynamics over realisations of the random matrices. This approach leads to exact expressions in the largeq limit and sheds light on the universality of random matrices in manybody quantum systems and the ubiquitous entanglement growth in outofequilibrium dynamics. I will also discuss universal behaviour which goes beyond random matrix theory and the role played by space dimensionality which emerges through a mapping into the classical Potts model, exact at large q. 
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