A cubic-quintic inhomogeneous nonautonomous nonlinear Schrödinger (NLS) equation with
an external trap, self-steepening, and self-frequency shift that models the transmission of …

In this article, we analytically explore the quantum phenomena of scattering by harmonically
trapped 2D quantum gases. We show the temperature's dependence on the differential …

We investigate the dynamics of vortex formation and the structure of vortex lattices in a Bose-
Einstein condensate confined within a rotating double-well (DW) potential. The dynamical …

A statistical model is advanced for describing quantum turbulence in a superfluid system
with Bose-Einstein condensate. Such a turbulent superfluid can be realized for trapped Bose …

We have found an exact analytical solution of the Bogoliubov–de Gennes equations for the
Tkachenko modes of the vortex lattice in the lowest Landau level (LLL) in the …

In this paper, the thermodynamic properties of a rotating Bose gas in harmonic trap are
investigated. In particularly, the condensate fraction, critical temperature and heat capacity …

We have analytically explored the quantum phenomena of particle scattering by rotating
trapped quantum gases of electrically neutral bosons and fermions for the short-ranged …

We simulate a rotating 2D BEC to study the melting of a vortex lattice in the presence of
random impurities. Impurities are introduced either through a protocol in which vortex lattice …

We developed a density matrix renormalization group technique to study quantum Hall
fractions of fast rotating bosons. In this paper, we present a discussion of the method …

We study the changes in the spatial distribution of vortices in a rotating Bose-Einstein
condensate due to an increasing eccentricity of the trap** potential. By breaking the …