Entanglement of two interacting bosons in a two-dimensional isotropic harmonic trap

We compute the pair entanglement between two interacting bosons in a two-dimensional (2D) isotropic harmonic trap. The interaction potential is modelled by a 2D regularized pseudopotential. By analytically decomposing the wave function into the single particle basis, we show the dependency of the pair entanglement on the scattering length. Our results turn out to be in good agreements with earlier results using a quasi-2D geometry.