Confinement-induced p-wave resonances from s-wave interactions

Yusuke Nishida; Shina Tan

doi:10.1103/physreva.82.062713

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arXiv · 1011.0033

Confinement-induced p-wave resonances from s-wave interactions

Yusuke Nishida·Shina Tan

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Abstract

We show that a purely s-wave interaction in three dimensions (3D) can induce higher partial-wave resonances in mixed dimensions. We develop two-body scattering theories in all three cases of 0D-3D, 1D-3D, and 2D-3D mixtures and determine the positions of higher partial-wave resonances in terms of the 3D s-wave scattering length assuming a harmonic confinement potential. We also compute the low-energy scattering parameters in the p-wave channel (scattering volume and effective momentum) that are necessary for the low-energy effective theory of the p-wave resonance. We point out that some of the resonances observed in the Florence group experiment [Phys. Rev. Lett. 104, 153202 (2010)] can be interpreted as the p-wave resonances in the 2D-3D mixed dimensions. Our study paves the way for a variety of physics, such as Anderson localization of matter waves under p-wave resonant scatterers.

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Yusuke Nishida, Shina Tan. 2010-12-27. Confinement-induced p-wave resonances from s-wave interactions. https://doi.org/10.1103/physreva.82.062713

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