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Mathematical Physics Seminar

Quantum spin glasses: some recent results

Simone Warzel

Location:  zoom
Date & time: Wednesday, 30 December 2020 at 10:45AM - 11:45AM

Simone Warzel - Technical University of Munich

Wednesday, December 30, 10:45AM

Title:
"Quantum spin glasses: some recent results"

Classical mean-field glasses exhibit a rich low-temperature phase as described by Parisi’s ingenious formulas for the free energy.

In its simplest form, the emergent hierarchical order in spin glasses is mimicked by Derrida’s hierarchical models, which I will briefly review.

The main aim of this talk then concerns the fate of the spin glass phase under the addition of a constant perpendicular magnetic field.

This introduces a non-commuting term into the energy, hence causes quantum effects and the emergence of a quantum paramagnetic phase.

I will present a novel quantum version of a Parisi-type formula for Derrida’s hierarchical glasses and their relatives as well as the resulting phase diagrams. The underlying principle of erasure of hierarchical spin glass order will be discussed.

(This talk is based on joint works with C. Manai.)

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