Confinement-induced Resonance of Alkaline-earth-metal-like Atoms in Anisotropic Quasi-one-dimensional Traps

TL;DR

This paper investigates how anisotropic confinement in quasi-one-dimensional traps influences the confinement-induced resonance of $^{173}$Yb atoms, revealing a tunable mechanism to control resonance locations relevant for experiments.

Contribution

It demonstrates that trap anisotropy can be used as an additional control parameter to tune the confinement-induced resonance in alkaline-earth-like atoms.

Findings

Anisotropy shifts the CIR location, making it experimentally accessible.

The energy spectrum analysis links CIR to degeneracy of bound states and thresholds.

The study provides a detailed scattering and bound state analysis near Feshbach resonances.

Abstract

We study the confinement-induced resonance (CIR) of $^{173}$Yb atoms near an orbital Feshbach resonance in a quasi-one-dimensional tube with transversal anisotropy. By solving the two-body scattering problem, we obtain the location of CIR for various anisotropy ratio and magnetic field. Our results show that the anisotropy of the trapping potential can serve as an additional knob to tune the location of CIR. In particular, one can shift the location of CIR to the region attainable in current experiment. We also study the energy spectrum of the system and analyze the properties of CIR from the perspective of bound states. We find that as the orbital Feshbach resonance acquires two nearly degenerate scattering channels, which in general have different threshold energies, CIR takes place when the closed channel bound state energy becomes degenerate with one of the thresholds.