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arXiv · 0908.2204

The two-atom energy spectrum in a harmonic trap near a Feshbach resonance at higher partial waves

Akira Suzuki·Yi Liang·Rajat K. Bhaduri
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Abstract

Two atoms in an optical lattice may be made to interact strongly at higher partial waves near a Feshbach resonance. These atoms, under appropriate constraints, could be bosonic or fermionic. The universal $l=2$ energy spectrum for such a system, with a caveat, is presented in this paper, and checked with the spectrum obtained by direct numerical integration of the Schr\"odinger equation. The results reported here extend those of Yip for p-wave resonance (Phys. Rev. A {\bf 78}, 013612 (2008)), while exploring the limitations of a universal expression for the spectrum for the higher partial waves.

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Akira Suzuki, Yi Liang, Rajat K. Bhaduri. 2009-08-15. The two-atom energy spectrum in a harmonic trap near a Feshbach resonance at higher partial waves. https://doi.org/10.1103/physreva.80.033601

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