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 …

Phase transitions are ubiquitous in nature, and can be arranged into universality classes
such that systems having unrelated microscopic physics show identical scaling behaviour …

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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 …

Phase transitions create a domain structure with defects, which has been argued by Zurek
and Kibble (ZK) to depend in a characteristic way on the quench rate. We present an …

We consider the number distribution of topological defects resulting from the finite-time
crossing of a continuous phase transition and identify signatures of universality beyond the …

Abstract The Kibble–Zurek mechanism (KZM) describes the dynamics across a phase
transition leading to the formation of topological defects, such as vortices in superfluids and …

New scaling behavior has been both predicted and observed in the spontaneous production
of fluxons in quenched Nb-Al/Al ox/Nb annular Josephson tunnel junctions (JTJs) as a …