Confinement-induced resonance of alkaline-earth-metal-like atoms in anisotropic quasi-one-dimensional traps

Abstract

We study the confinement-induced resonance (CIR) of 173 Yb 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 ratio and magnetic field. 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 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. * Electronic address: renzhang@xjtu.edu.cn † Electronic address: siang.zhang@ruc.edu.cn ‡ Electronic address: wzhangl@ruc.edu.cn arXiv:1809.00471v1 [cond-mat.quant-gas] 3 Sep 2018

Confinement-induced resonance with weak background interaction

“…Our results are helpful for realizing strong effective inter-atomic interaction of ultracold atoms in an quasi-1D confinement with localized impurities, which can be either spin-dependent or spin-independent. Such a system can be used for the study of Kondo physics [19][20][21][26][27][28], quantum open system [29] and precision measurement [30,31]. In addition, our result also show the existence of the broad CIRs for small positive 3D scattering length, and thus implies the possibility of finding such CIRs in more other confinements.…”

Controlling the interaction of ultracold alkaline-earth atoms

“…3(b), experimentally this situation is realized by the Munich group and a resonant enhanced spin-exchanging scattering amplitude has been observed [45]. Theoretically, this problem can be treated with different degrees of approximations [43,44,[55][56][57], and quantitative results can be systematically improved [56]. The most accurate results are shown in Fig.…”