Recent theoretical and experimental progress on studying one-dimensional systems of
bosonic, fermionic, and Bose–Fermi mixtures of a few ultracold atoms confined in traps is …

We investigate a trapped mixture of Bose–Einstein condensates consisting of a multiple
number of P species. To be able to do so, an exactly solvable many-body model is called …

The Shannon entropy, the desequilibrium and their generalizations (Rényi and Tsallis
entropies) of the three‐dimensional single‐particle systems in a spherically symmetric …

We study the ground-state entanglement between two atoms in a two-dimensional isotropic
harmonic trap. We consider a finite-range soft-core interaction that can be applied to …

The ground-state entanglement of a single particle of the N-harmonium system (ie, a
completely integrable model of N particles where both the confinement and the two-particle …

The Rényi entropies R p [ρ], p> 0,≠ 1 of the highly-excited quantum states of the D-
dimensional isotropic harmonic oscillator are analytically determined by use of the strong …

We investigate the correlations between different bipartitions of an exactly solvable one-
dimensional many-body Moshinsky model consisting of N n “nuclei” and N e “electrons.” We …

An exactly solvable model of a trapped interacting Bose–Einstein condensate (BEC)
coupled in the dipole approximation to a quantized light mode in a cavity is presented. The …

We examine the entanglement in the ground states of helium and helium-like ions using an
original Hylleraas expansion. The von Neumann and linear entropies of the reduced density …

We describe a procedure to solve an up to $2 N $ problem where the particles are
separated topologically in N groups with at most two particles in each. Arbitrary interactions …