Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

The main theme of this review is the many-body physics of vortices in quantum droplets of
bosons or fermions in the limit of small particle numbers. Systems of interest include cold …

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 …

Mean-field methods are a very powerful tool for investigating weakly interacting many-body
systems in many branches of physics. In particular, they describe with excellent accuracy …

The year 2015 was the International Year of Light. However, it also marked, the 20th
anniversary of the first observation of Bose–Einstein condensation in atomic vapors by Eric …

We analyze vortex nucleation in mesoscopic two-dimensional Bose superfluid in a rotating
trap. We explicitly include a weakly anisotropic stirring potential, breaking thus explicitly the …

For a weakly interacting Bose gas rotating in a harmonic trap we relate the yrast states of
small systems (that can be treated exactly) to the thermodynamic limit (derived within the …

We analyze the role of impurities in the fractional quantum Hall effect using a highly
controllable system of ultracold atoms. We investigate the mechanism responsible for the …

We present the exact diagonalization study of rotating Bose-condensed gas interacting via
finite-range Gaussian potential confined in a quasi-2D harmonic trap. The system of many …

Using exact diagonalization, we investigate the many-body ground state for regular vortex
patterns in a rotating Bose-condensed gas of N spinless particles, confined in a quasi-two …