Quasi-1D scattering with general transverse 2D confinement

TL;DR

This paper introduces a new regularized local frame transformation method to analyze confinement induced resonances in quasi-1D systems with arbitrary transverse geometries, advancing understanding of ultracold atomic gases.

Contribution

The paper develops a general method to treat CIR in quasi-1D systems with any transverse confinement shape, including square well geometries.

Findings

Predicted CIR position in a square well transverse geometry.

Validated the method's applicability to arbitrary transverse shapes.

Enhanced theoretical tools for ultracold atomic gas experiments.

Abstract

Confinement induced resonances (CIR) in quasi-1D systems have been theoretically predicted and observed in various ultracold atomic gases. Here a regularized local frame transformation method is developed to treat CIR in a quasi-1D system that has an arbitrary transverse trap shape in general. The method is applied to predict the CIR position in a system whose transverse geometry is a square well.