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

TL;DR

This paper analytically investigates the entanglement between two interacting bosons in a 2D isotropic harmonic trap, revealing how entanglement depends on scattering length and aligning with previous quasi-2D findings.

Contribution

It provides an analytical approach to compute pair entanglement in a 2D harmonic trap using a regularized pseudo-potential, extending understanding of bosonic entanglement.

Findings

Entanglement depends on scattering length.

Results agree with quasi-2D geometry studies.

Analytical decomposition of wave function used.

Abstract

We compute the pair entanglement between two interacting bosons in a two dimensional (2D)isotropic harmonic trap. The interaction potential is modeled by a 2D regularized pseudo-potential. 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.