We review phase-space techniques based on the Wigner representation that provide an
approximate description of dilute ultra-cold Bose gases. In this approach the quantum field …

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

The collective behaviour of a many-body system near a continuous phase transition is
insensitive to the details of its microscopic physics; for example, thermodynamic observables …

Quantum criticality emerges when a many-body system is in the proximity of a continuous
phase transition that is driven by quantum fluctuations. In the quantum critical regime, exotic …

We use the truncated Wigner approximation to derive stochastic classical field equations for
the description of polariton condensates. Our equations are shown to reduce to the …

We study the dynamics of a vortex in an atomic Bose-condensed gas at finite temperature
within the Zaremba-Nikuni-Griffin formalism. In a harmonically trapped pancake-shaped …

We simulate a trapped quasi-two-dimensional Bose gas using a classical field method. To
interpret our results we identify the uniform Berezinskii-Kosterlitz-Thouless (BKT) …

We calculate the evaporative cooling dynamics of trapped one-dimensional Bose-Einstein
condensates for parameters leading to a range of condensates and quasicondensates in the …

Recent experiments on ultracold Bose gases in two dimensions have provided evidence for
the existence of the Berezinskii-Kosterlitz-Thouless (BKT) phase via analysis of the …

We have theoretically investigated Kelvin waves of quantized vortex lines in trapped Bose-
Einstein condensates. Counterrotating perturbation induces an elliptical instability to the …