Observing dipolar confinement-induced resonances in quasi-one-dimensional atomic gases

We develop a theoretical framework for the quasi-low-dimensional confinement-induced resonances (CIRs) of particles with three-dimensional two-body interactions describable by the Huang-Yang pseudopotential. Using this approach, we analytically obtain the universal properties of dipolar CIRs in quasi-one-dimensional (quasi-1D) waveguides. We also show that the tilting angle between the dipole moment and the waveguide can be used as a control knob for scatterings in quasi-1D geometry. More importantly, the tilting-angle-induced dipolar CIRs in quasi-1D Cr, Er, and Dy atomic gases are experimentally detectable.

Figure 1

${\ell }_d$ dependence of $a_s^{\left(\mathrm{res}\right)}$ and $a_{\mathrm{bg}}^{-1}$ for ${\vartheta }_d=0$. The inset shows $\Delta$ as a function of ${\ell }_d$. Similar results are found for ${\vartheta }_d\ne 0$.

Figure 2

(a) $a_{1\mathrm{D}}^{-1}$ versus ${\vartheta }_d$ for $a_s=0a_B$ (solid line), $100a_B$ (dashed line), and $800a_B$ (dash-dotted line). The dipole moment is fixed at $d_m=10{\mu }_B$. (b) $a_{1\mathrm{D}}^{-1}$ versus ${\vartheta }_d$ for $d_m=3.15{\mu }_B$ (solid line), $6{\mu }_B$ (dashed line), and $9{\mu }_B$ (dash-dotted line). The $s$-wave scattering length is fixed at $a_s=100a_B$.

Figure 3

(a) $a_{1\mathrm{D}}$ versus ${\ell }_d$ for ${\vartheta }_d=0$ (solid line) and $\pi /4$ (dashed line). (b) $a_{1\mathrm{D}}$ versus ${\vartheta }_d$ for $d_m=7{\mu }_B$ (solid line), $8{\mu }_B$ (dashed line), and $10{\mu }_B$ (dash-dotted line).