Dipolar confinement-induced resonances of ultracold gases in waveguides

TL;DR

This paper introduces a non-perturbative theoretical framework for analyzing anisotropic dipolar interactions in ultracold gases confined in waveguides, predicting confinement-induced resonances with potential experimental applications.

Contribution

It develops a new method that accurately includes long-range anisotropic interactions, overcoming limitations of previous pseudopotential approaches.

Findings

Prediction of dipolar confinement-induced resonances (DCIRs) in waveguides

Analytical resonance condition revealing confinement and anisotropy interplay

Excellent agreement with numerical ab initio calculations

Abstract

We develop a non-perturbative theoretical framework to treat collisions with generic anisotropic interactions in quasi-one-dimensional geometries. Our method avoids the limitations of pseudopotential theory allowing to include accurately long-range anisotropic interactions. Analyzing ultracold dipolar collisions in a harmonic waveguide we predict dipolar confinement-induced resonances (DCIRs) which are attributed to different angular momentum states. The analytically derived resonance condition reveals in detail the interplay of the confinement with the anisotropic nature of the dipole-dipole interactions. The results are in excellent agreement with ab initio numerical calculations confirming the robustness of the presented approach. The exact knowledge of the positions of DCIRs may pave the way for the experimental realization e.g. Tonks-Girardeau-like or super-Tonks-Girardeau-like phases in effective one-dimensional dipolar gases.