Two-body state with p-wave interaction in one-dimensional waveguides under transversely anisotropic confinement

Abstract

We theoretically study two atoms with $p$-wave interaction in a one-dimensional waveguide, and investigate how the transverse anisotropy of the confinement affects the two-body state, especially, the properties of the resonance. For bound-state solution, we find there are totally three two-body bound states due to the richness of the orbital magnetic quantum number of $p$-wave interaction, while only one bound state is supported by $s$-wave interaction. Two of them become nondegenerate due to the breaking of the rotation symmetry under transversely anisotropic confinement. For scattering solution, the effective one-dimensional scattering amplitude and scattering length are derived. We find the position of the $p$-wave confinement-induced resonance shifts apparently as the transverse anisotropy increases. In addition, a two-channel mechanism for confinement-induced resonance in a one-dimensional waveguide is generalized to $p$-wave interaction, which was proposed only for $s$-wave interaction before. All our calculations are based on the parameterization of the ${}^{40}$K atom experiments, and can be confirmed in future experiments.

8 pages, 5 figures

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Cited by in corpus (11)

• Universal Properties of a Strongly Interacting Fermi Gas at a $p$-wave Resonance
• Large-momentum distribution of a polarized Fermi gas and p-wave contacts
• Two-body relaxation of spin-polarized fermions in reduced dimensionalities near a p-wave Feshbach resonance
• Probing open- and closed-channel p-wave resonances
• Universal relations and normal phase of an ultracold Fermi gas with coexisting $s$- and $p$-wave interactions
• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
• Universal relations for a spin-polarized Fermi gas in two dimensions
• K-matrix formulation of two-particle scattering in a wave guide in the presence of one-dimensional spin-orbit coupling
• Thermodynamic contacts and breathing mode physics of 1D p-wave Fermi gases in the high temperature limit
• Bound and scattering states in harmonic waveguides in the vicinity of free space Feshbach resonances
• Radio-Frequency Spectroscopy and the Dimensional Crossover in Interacting Spin-Polarized Fermi Gases