Two-boson Correlations in Various One-dimensional Traps

TL;DR

This paper investigates two interacting bosons in one-dimensional traps, analyzing energy spectra, natural orbitals, and entanglement, demonstrating rapid convergence of the optimized configuration interaction method across various potential shapes.

Contribution

It introduces an efficient optimized configuration interaction method for studying two-boson systems in diverse one-dimensional trapping potentials.

Findings

Rapid convergence of the method for convex and non-convex traps

Detailed analysis of energy spectra and natural orbitals

Insights into entanglement dependence on trap shape

Abstract

A one-dimensional system of two trapped bosons which interact through a contact potential is studied using the optimized configuration interaction method. The rapid convergence of the method is demonstrated for trapping potentials of convex and non-convex shapes. The energy spectra, as well as natural orbitals and their occupation numbers are determined in function of the inter-boson interaction strength. Entanglement characteristics are discussed in dependence on the shape of the confining potential.