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 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.

💡 Research Summary

The paper investigates how the interaction between two bosons confined in a two‑dimensional isotropic harmonic trap generates quantum entanglement. The authors model the short‑range interaction by a regularized two‑dimensional pseudo‑potential, V̂(r)= (2πħ²/m)