Analytical solutions for two heteronuclear atoms in a ring trap

Abstract

We consider two heteronuclear atoms interacting with a short-range $\delta$ 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.

6 pages, 6 figures

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Cited by in corpus (3)

• Exactly solvable model of two interacting Rydberg-dressed atoms confined in a two-dimensional harmonic trap
• Convergence Properties of the Effective Theory for Trapped Bosons
• Mass-imbalanced atoms in a hard-wall trap: an exactly solvable model with emergent $D_6$ symmetry