Shifts and widths of p-wave confinement induced resonances in atomic waveguides

TL;DR

This paper presents a theoretical model for p-wave Feshbach resonances in atomic waveguides, analyzing how trap frequency and magnetic field influence the resonance shifts and widths, with implications for experimental control.

Contribution

The study extends existing models to include p-wave interactions in waveguides, highlighting the role of effective radius and providing a way to control resonance properties experimentally.

Findings

Resonance shifts and widths depend on trap frequency and magnetic field.

Inclusion of effective radius is crucial for accurate p-wave CIR description.

Control of p-wave CIRs is feasible through experimental parameters.

Abstract

We develop and analyze a theoretical model to study p-wave Feshbach resonances of identical fermions in atomic waveguides by extending the two-channel model of A.D. Lange et. al. [Phys. Rev. A 79, 013622 (2009)] and S. Saeidian et. al. [Phys. Rev. A 86, 062713 (2012)]. The experimentally known parameters of Feshbach resonances in free space are used as input of the model. We calculate the shifts and widths of p-wave magnetic Feshbach resonance of $^{40}$K atoms emerging in harmonic waveguides as p-wave confinement induced resonance (CIR). Particularly, we show a possibility to control the width and shift of the p-wave confinement induced resonance by the trap frequency and the applied magnetic field which could be used in corresponding experiments. Our analysis also demonstrates the importance of the inclusion of the effective radius in the computational schemes for the description of the p-wave CIRs contrary to the case of s-wave CIRs where the influence of this term is negligible.