Avalanche dynamics are found in many phenomena, from earthquakes to the evolution of
species. They can also be found in vortex matter when a type-II superconductor is externally …

We study the Gibbs measure of mixed spherical p‐spin glass models at low temperature, in
(part of) the 1‐RSB regime, including, in particular, models close to pure in an appropriate …

A promising approach to solving hard binary optimization problems is quantum adiabatic
annealing in a transverse magnetic field. An instantaneous ground state—initially a …

We present a theoretical study of capillary condensation of fluids adsorbed in mesoporous
disordered media. Combining mean-field density functional theory with a coarse-grained …

Recent advances in quantum technology have led to the development and manufacturing of
experimental programmable quantum annealing optimizers that contain hundreds of …

The study of spin-glass dynamics, long considered the paradigmatic complex system, has
reached important milestones. The availability of high-quality single crystals has allowed the …

Experiments featuring non-equilibrium glassy dynamics under temperature changes still
await interpretation. There is a widespread feeling that temperature chaos (an extreme …

We prove the existence of chaos in temperature in the Sherrington-Kirkpatrick model. The
effect is exceedingly small, namely, of the ninth order in perturbation theory. The equations …

Mean-field glassy systems have a complicated energy landscape and an enormous number
of different Gibbs states. In this paper, we introduce a generalization of the cavity method in …

Recent technological developments in the field of experimental quantum annealing have
made prototypical annealing optimizers with hundreds of qubits commercially available. The …