After reviewing the ideal Bose-Einstein gas in a box and in a harmonic trap, the effect of
interactions on the formation of a Bose-Einstein condensate are discussed, along with the …

In this article, we review developments in the theory of rapidly rotating degenerate atomic
gases. The main focus is on the equilibrium properties of a single-component atomic Bose …

The dominance of interactions over kinetic energy lies at the heart of strongly correlated
quantum matter, from fractional quantum Hall liquids, to atoms in optical lattices and twisted …

The equivalence between particles under rotation and charged particles in a magnetic field
relates phenomena as diverse as spinning atomic nuclei, weather patterns, and the …

The angular momentum of rotating superfluid droplets originates from quantized vortices
and capillary waves, the interplay between which remains to be uncovered. Here, the …

In this paper we combine concepts from Riemannian optimization P.-A. Absil, R. Mahony,
and R. Sepulchre, Optimization Algorithms on Matrix Manifolds, Princeton University Press …

By implementing the exact density matrix for the rotating anisotropic harmonic trap, we
derive a class of very fast and accurate fourth-order algorithms for evolving the Gross …

We show that a Bose-condensed gas, under extreme rotation in a 2D anisotropic trap, forms
a novel elongated quantum fluid which has a roton-maxon excitation spectrum. For a …

A rapidly rotating Bose-Einstein condensate in a symmetric two-dimensional trap can be
described with the lowest Landau-level set of states. In this case, the condensate wave …

Starting from the Hamiltonian of two oscillators coupled through the angular momentum, we
obtain the equations of motion involving the field operators for two harmonic modes. These …