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arXiv:1005.2794 · Physical Review A

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

Shi-Guo Peng, S. Bohloul, Xia-Ji Liu, Hui Hu, P. D. Drummond

Published Dec 28, 2010• 41 citations
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Abstract

We theoretically investigate the confinement-induced resonance for quasi-one-dimensional quantum 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.

DOI
10.1103/physreva.82.063633

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We study the confinement-induced resonance (CIR) of 173Yb^{173}\mathrm{Yb}173Yb 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 ratios and magnetic fields. 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 the 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.