This colloquium surveys a number of theoretical problems and open questions in the field of
two-dimensional dilute Bose gases with weak repulsive interactions. In contrast to three …

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 phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

The theoretical description of trapped weakly interacting Bose–Einstein condensates is
characterized by a large number of seemingly very different approaches which have been …

We show that fuzzy dark matter haloes exhibit spatial differentiation in the coherence of the
field configuration, ranging from completely coherent in the central solitonic core to …

We consider the long-term evolution of a random nonlinear wave that propagates in a
multimode optical waveguide. The optical wave exhibits a thermalization process …

Analog models of gravity have been motivated by the possibility of investigating phenomena
not readily accessible in their cosmological counterparts. In this paper, we investigate the …

We develop a stochastic Gross-Pitaveskii theory suitable for the study of Bose-Einstein
condensation in a rotating dilute Bose gas. The theory is used to model the dynamical and …

Here we show, by performing ab initio classical field simulations that two distinct superfluid
phases, separated by thermal vortex-antivortex pair creation, exist in experimentally …