Polarization angle dependence of the breathing modes in confined one-dimensional dipolar bosons

TL;DR

This study investigates how the polarization angle affects the breathing mode frequencies in a confined one-dimensional dipolar bosonic gas, providing theoretical insights aligned with recent experimental results.

Contribution

It introduces a model for dipolar bosons in one dimension considering polarization angle dependence and calculates breathing mode frequencies using a sum-rule approach.

Findings

Breathing mode frequencies depend on polarization angle.

Theoretical results agree with recent experiments.

Model captures interaction and dimensionality effects.

Abstract

Probing the radial collective oscillation of a trapped quantum system is an accurate experimental tool to investigate interactions and dimensionality effects. We consider a fully polarized quasi-one dimensional dipolar quantum gas of bosonic dysprosium atoms in a parabolic trap at zero temperature. We model the dipolar gas with an effective quasi-one dimensional Hamiltonian in the single-mode approximation, and derive the equation of state using a variational approximation based on the Lieb-Liniger gas Bethe Ansatz wavefunction or perturbation theory. We calculate the breathing mode frequencies while varying polarization angles by a sum-rule approach, and find them in good agreement with recent experimental findings.