Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model

Date: 21 February 2017
Time: 14:00 to 15:00
Location: EC Stoner 10.72
Speaker: Antonio Miguel Garcia-Garcia (Cambridge)

Fermions with k−body infinite-range interactions, originally introduced in the context of quantum chaos and recently relabelled Sachdev-Ye-Kitaev models, are attracting a great deal of attention as toy models of strongly coupled metals with a gravity dual. After a pedagogical introduction. I study analytically and numerically the spectral and thermodynamic properties of the model. The main finding is that for sufficiently long times, the Sachdev-Ye-Kitaev model evolves to a fully ergodic state whose dynamics only depends on the global symmetry of the system. This strongly suggests that random matrix correlations are a universal feature of quantum black holes and that fermions with k−body infinite-range interactions may still be relevant to model certain aspects of the dynamics of realistic strongly coupled fermions.