This review summarizes recent developments in the theory of spin glasses, as well as
pertinent experimental data. The most characteristic properties of spin glass systems are …

This is an extended version of my Nobel Lecture, delivered on December 8, 2021. I will
recall the genesis of the concept of multiple equilibria in natural sciences. I will then describe …

Concepts, methods and techniques of statistical physics in the study of correlated, as well as
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …

The field of phase transitions and critical phenomena continues to be active in research,
producing a steady stream of interesting and fruitful results. It has moved into a central place …

A quantum many-body system whose dynamics includes local measurements at a nonzero
rate can be in distinct dynamical phases, with differing entanglement properties. We …

In this paper we summarize the work done by our group in develo** and applying the
closed time-path Green function (C1'PGF) formalism, first suggested by J. Schwinger and …

When we lower the temperature of a liquid, at some point we meet a first order phase
transition to the crystal. Yet, under certain conditions it is possible to keep the system in its …

The problem of optimizing over random structures emerges in many areas of science and
engineering, ranging from statistical physics to machine learning and artificial intelligence …

An order parameter for spin-glasses is defined in a clear physical way: It is a function on the
interval 0-1 and it is related to the probability distribution of the overlap of the magnetization …

So far the problem of a spin glass on a Bethe lattice has been solved only at the replica
symmetric level, which is wrong in the spin glass phase. Because of some technical …