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

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.

arXiv comment10 pages, 8 PDF figures, RevTex 4.2

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• Breathing mode of a quantum droplet in a quasi-one-dimensional dipolar Bose gas
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• Effects of intertube dipole-dipole interactions in nearly integrable one-dimensional ${}^{162}$Dy gases