Confinement-induced resonance in quasi-one-dimensional systems under transversely anisotropic confinement

TL;DR

This paper theoretically studies confinement-induced resonances in quasi-one-dimensional systems with transverse anisotropy, predicting a single resonance whose position shifts slightly with anisotropy, contrasting with experimental observations of two resonances.

Contribution

It provides a theoretical prediction of a single resonance in anisotropic confinement, highlighting a discrepancy with experimental results that observe two resonances.

Findings

Predicts a single resonance for any transverse anisotropy

Resonance position slightly shifts with increasing anisotropy

Discrepancy between theoretical prediction and experimental observations

Abstract

We theoretically investigate the confinement-induced resonance for quasi-one-dimensional quan- tum systems under transversely anisotropic confinement, using a two-body s-wave scattering model in the zero-energy collision limit. We predict a single resonance for any transverse anisotropy, whose position shows a slight downshift with increasing anisotropy. We compare our prediction with the recent experimental result by Haller et al. [Phys. Rev. Lett. 104, 153203 (2010)], in which two resonances are observed in the presence of transverse anisotropy. The discrepancy between theory and experiment remains to be resolved.