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 …

The achievement of Bose–Einstein condensation in ultra-cold vapours of alkali atoms has
given enormous impulse to the study of dilute atomic gases in condensed quantum states …

We study the numerical solution of the time-dependent Gross–Pitaevskii equation (GPE)
describing a Bose–Einstein condensate (BEC) at zero or very low temperature. In …

Using first-principles calculations, we predict that moiré excitons in twisted Janus
heterobilayers could realize tunable and high-temperature Bose-Einstein condensation …

We theoretically investigate the use of red-detuned Laguerre-Gaussian (LG) laser beams of
varying azimuthal mode index for producing toroidal optical dipole traps in two-dimensional …

We consider the ground state properties of an inhomogeneous two-dimensional Bose gas
with a repulsive, short range pair interaction and an external confining potential. In the limit …

We present a numerical scheme for solving the time-independent nonlinear Gross–
Pitaevskii equation in two dimensions describing the Bose–Einstein condensate of trapped …

We present a numerical study of the time-dependent and time-independent Gross-Pitaevskii
(GP) equation in two space dimensions, which describes the Bose-Einstein condensate of …

Abstract We present a Hartree-Fock-Bogoliubov (HFB) theoretical treatment of the two-
dimensional trapped Bose gas and indicate how semiclassical approximations to this and …

A two-dimensional mesoscopic Bose system of dipoles in a 2D trap is considered using
computer simulation by the quantum path-integral Monte Carlo method. The model …