# Theoretical Physics

**23 February 2017**

**Time:**14:00 to 15:00

**Location:**EC Stoner 8.62

Theoretical Physics Seminar: Antonio Miguel Garcia-Garcia (Cambridge)

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

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.

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