Multichannel Effects near Confinement-Induced Resonances in Harmonic Waveguides

TL;DR

This paper investigates how multichannel scattering influences the positions and widths of confinement-induced resonances in harmonic waveguides, revealing a mechanism for resonance splitting due to anisotropy.

Contribution

It introduces a detailed analysis of multichannel effects on confinement-induced resonances, including the impact of anisotropy, and establishes a mechanism for resonance splitting.

Findings

Multichannel scattering significantly affects resonance positions and widths.

Anisotropy causes a splitting of the confinement-induced resonance.

The study provides a framework for understanding atomic collisions in waveguides.

Abstract

We analyze the impact of multichannel scattering in harmonic waveguides on the positions and widths of confinement-induced resonances for both isotropic and anisotropic transversal confinement. Multichannel scattering amplitudes and transmission coefficients are calculated and used to characterize the resonant behaviour of atomic collisions with varying anisotropy. A mechanism is established which leads to a splitting of the confinement-induced resonance in the presence of anisotropy.