Joint Dept. of Mathematics and CMSA Random Matrix & Probability Theory Seminar: Hierarchical quantum spin glasses

RANDOM MATRIX

Speaker:

Simone Warzel - Technical University of Munich

Hierarchical spin glasses such as the generalised random energy model are known to faithfully model typical energy landscapes in the classical theory of mean-field spin glasses. Their built-in hierarchical structure is known to emerge spontaneously in the spin-glass phase of, e.g., the Sherrington-Kirkpatrick model. In this talk, I will review recent results on the effects of a transversal magnetic field on such hierarchical quantum spin glasses.
In particular, I will present a formula of Parisi-type for their free energy which allows to make predictions about the phase diagram.

Zoom: https://harvard.zoom.us/j/98520388668