The Kibble-Zurek mechanism predicts the formation of topological defects and other
excitations that quantify how much a quantum system driven across a quantum critical point …

The formation of an equilibrium state from an uncorrelated thermal one through the
dynamical crossing of a phase transition is a central question of quantum many-body …

The beyond mean-field (MF) dynamics of a bent dark soliton (BDS) embedded in a two-
dimensional repulsively interacting Bose–Einstein condensate is explored. We examine the …

We predict a novel family of off-center localized nonlinear modes in a rotating optical system.
The whispering-gallery-like solitons bifurcate out from the symmetric fundamental solitons …

Three-dimensional orientational order in systems whose ground states possess nonzero
gradients typically exhibits linelike structures or defects: λ lines in cholesterics or Skyrmion …

It is now widely accepted that quenches through the critical region of quantum phase
transitions result in post-transition states populated with topological defects—analogs of the …

The emergence of macroscopic coherence in a many-body quantum system is a ubiquitous
phenomenon across different physical systems and scales. This Chapter reviews key …

We study the onset of dissipation in an atomic Josephson junction between Fermi
superfluids in the molecular Bose-Einstein condensation limit of strong attraction. Our …

We study the spontaneous formation of defects in the order parameter of a trapped ultracold
bosonic gas while crossing the critical temperature for Bose-Einstein condensation at …

The dynamical evolution of an inhomogeneous ultracold atomic gas quenched at different
controllable rates through the Bose-Einstein condensation phase transition is studied …