Analysis of two and three dipolar bosons in a spherical harmonic trap

TL;DR

This paper develops a theoretical framework for analyzing few-body dipolar bosons in a spherical harmonic trap, extending a coupled-pair approach to handle long-range anisotropic interactions and calculating their energy spectra and structural properties.

Contribution

It introduces an extended coupled-pair approach with a correlated Gaussian basis for dipolar bosons, enabling efficient analysis of complex long-range interactions in few-body systems.

Findings

Successfully calculated eigenenergy spectra for two and three dipolar bosons.

Demonstrated the method's efficiency and flexibility for complex interactions.

Provided structural property insights of dipolar bosonic systems.

Abstract

As dipolar gases become more readily accessible in experiment there is a need to develop a comprehensive theoretical framework of the few-body physics of these systems. Here, we extend the coupled-pair approach developed for the unitary two-component Fermi gas to a few-body system of dipolar bosons in a spherical harmonic trap. The long range and anisotropy of the dipole-dipole interaction is handled by a flexible and efficient correlated gaussian basis with stochastically variational optimisation. We calculate the eigenenergy spectrum and structural properties of two and three trapped bosonic dipoles. This demonstrates the efficiency and flexibility of the coupled-pair approach at dealing with systems with complex interactions.