Impurities, defects, and other types of imperfections are ubiquitous in realistic quantum many-
body systems and essentially unavoidable in solid state materials. Often, such random …

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 …

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 …

We use the zero-temperature random-field Ising model to study hysteretic behavior at first-
order phase transitions. Swee** the external field through zero, the model exhibits …

A simple scaling description of the ordering transition in random-field Ising systems is
developed and supported by renormalization-group arguments in terms of a zero …

We review recent theoretical progress on glassy dynamics, with special emphasis on the
importance and universality of the aging regime, which is relevant to many experimental …

We explain Barkhausen noise in magnetic systems in terms of avalanches of domains near
a plain old critical point in the hysteretic zero-temperature random-field Ising model. The …

A concise, comprehensive introduction to the topic of statistical physics of combinatorial
optimization, bringing together theoretical concepts and algorithms from computer science …

Quantum phase transitions are strongly relevant in a number of fields, ranging from
condensed matter to cold atom physics and quantum field theory. This book, now in its …

Hysteresis loops are often seen in experiments at first-order phase transformations, when
the system goes out of equilibrium. They may have a macroscopic jump (roughly as in the …