Statut  Confirmé 
Série  SEMLPTENS 
Domaines  condmat 
Date  Jeudi 17 Mai 2018 
Heure  14:00 
Institut  LPTENS 
Salle  ENS Conf IV 
Nom de l'orateur  De Luca 
Prenom de l'orateur  Andrea 
Addresse email de l'orateur  
Institution de l'orateur  Oxford 
Titre  Solution of a Minimal Model for ManyBody Quantum Chaos 
Résumé  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. 
Numéro de preprint arXiv  
Commentaires  
Fichiers attachés 
Pour obtenir l' affiche de ce séminaire : [ Postscript  PDF ]

[ English version ] 