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 …

This article presents an elementary introduction on various aspects of the prototypical
integrable model the Lieb–Liniger Bose gas ranging from the cooperative to the collective …

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 …

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 …

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 …

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

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

Fluctuations are a key property of both classical and quantum systems. While the
fluctuations are well understood for many quantum systems at zero temperature, the case of …

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 …