Turbulence, the complicated fluid behavior of nonlinear and statistical nature, arises in many
physical systems across various disciplines, from tiny laboratory scales to geophysical and …

Turbulence is characterized by a large number of degrees of freedom, distributed over
several length scales, that result in a disordered state of a fluid. The field of quantum …

This book introduces the theoretical description and properties of quantum fluids. The focus
is on gaseous atomic Bose–Einstein condensates and, to a minor extent, superfluid helium …

Reconnections and interactions of filamentary coherent structures play a fundamental role in
the dynamics of fluids, redistributing energy and helicity among the length scales and …

We collect and describe the observed geometrical and dynamical properties of turbulence in
quantum fluids, particularly superfluid helium and atomic condensates for which more …

Out-of-equilibrium phenomena are a subject of considerable interest in many fields of
physics. Ultracold quantum gases, which are extremely clean, well-isolated and highly …

We statistically study vortex reconnections in quantum fluids by evolving different
realizations of vortex Hopf links using the Gross–Pitaevskii model. Despite the time …

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 …

We derive a general and exact equation of motion for a quantized vortex in an
inhomogeneous two-dimensional Bose-Einstein condensate. This equation expresses the …

Insight into vortex reconnections in superfluids is presented, making use of analytical results
and numerical simulations of the Gross-Pitaevskii model. Universal aspects of the …