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arXiv · 1101.5074

Analytical solutions for two heteronuclear atoms in a ring trap

Xing Chen·Liming Guan·Shu Chen
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Abstract

We consider two heteronuclear atoms interacting with a short-range $δ$ potential and confined in a ring trap. By taking the Bethe-ansatz-type wavefunction and considering the periodic boundary condition properly, we derive analytical solutions for the heteronuclear system. The eigen-energies represented in terms of quasi-momentums can then be determined by solving a set of coupled equations. We present a number of results, which display different features from the case of identical atoms. Our result can be reduced to the well-known Lieb-Liniger solution when two interacting atoms have the same masses.

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Xing Chen, Liming Guan, Shu Chen. 2011-01-26. Analytical solutions for two heteronuclear atoms in a ring trap. https://doi.org/10.1140/epjd%2Fe2011-20201-6

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