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 …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

The quantum Kibble-Zurek mechanism (QKZM) predicts universal dynamical behavior near
the quantum phase transitions (QPTs). It is now well understood for the one-dimensional …

A simple relationship between recently proposed measures of non-Markovianity and the
Loschmidt echo is established, holding for a two-level system (qubit) undergoing pure …

We investigate the statistics of the work performed during a quench across a quantum phase
transition using the adiabatic perturbation theory when the system is characterized by …

When a second-order phase transition is crossed at a finite rate, the evolution of the system
stops being adiabatic as a result of the critical slowing down in the neighborhood of the …

The Aubry-André one-dimensional lattice model describes a particle hopping in a
pseudorandom potential. Depending on its strength λ, all eigenstates are either localized (λ> …

Quantum simulations of the Bose-Hubbard model (BHM) at commensurate filling can follow
spreading of correlations after a sudden quench for times long enough to estimate their …

When a system is driven across a quantum critical point at a constant rate, its evolution must
become nonadiabatic as the relaxation time τ diverges at the critical point. According to the …

A system gradually driven through a symmetry-breaking phase transition is subject to the
Kibble-Zurek mechanism (KZM). As a consequence of the critical slowing down, its state …