In the course of a nonequilibrium continuous phase transition, the dynamics ceases to be
adiabatic in the vicinity of the critical point as a result of the critical slowing down (the …

We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

We present two approaches to the dynamics of a quench-induced phase transition in the
quantum Ising model. One follows the standard treatment of thermodynamic second order …

The Quantum Ising model is an exactly solvable model of quantum phase transition. This
Letter gives an exact solution when the system is driven through the critical point at a finite …

When a system crosses a second-order phase transition on a finite timescale, spontaneous
symmetry breaking can cause the development of domains with independent order …

We show that a simple approximation based on concepts underlying the Kibble-Zurek theory
of second order phase-transition dynamics can be used to treat avoided level crossing …

We report observations of spontaneous formation of magnetic flux lines during a rapid
quench of YB a 2 C u 3 O 7-δ films through T c. This effect is predicted according to the …

Quantum Ising model in one dimension is an exactly solvable example of a quantum phase
transition. We investigate its behavior during a quench caused by a gradual turning off of the …

The crossing of a continuous phase transition gives rise to the formation of topological
defects described by the Kibble-Zurek mechanism (KZM) in the limit of slow quenches. The …

Phase transitions are usually treated as equilibrium phenomena, which yields telltale
universality classes with scaling behavior of relaxation time and healing length. However, in …