Abstract The Quantum Approximate Optimization Algorithm (QAOA) is a highly promising
variational quantum algorithm that aims to solve combinatorial optimization problems that …

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 …

With the high-temperature superconductors a qualitatively new regime in the
phenomenology of type-II superconductivity can be accessed. The key elements governing …

The phase of condensed matter known as spin glasses has become a vital and productive
area of research. Historically, experiment has suggested unusual effects which have brought …

Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

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 …

We describe an efficient Monte Carlo algorithm using a random walk in energy space to
obtain a very accurate estimate of the density of states for classical statistical models. The …

Fine magnetic particles have generated continuous interest since the late 1940s as the
study of their properties has revealed to be very challenging scientifically and …

An ensemble of nanoparticles in which the inter-particle magnetic interactions are
sufficiently weak shows superparamagnetic behaviour as described by the Néel–Brown …

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 …