Analytical solutions for two heteronuclear atoms in a ring trap |
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Authors: | X. Chen L. M. Guan S. Chen |
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Affiliation: | 1. Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, P.R. China
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Abstract: | We consider two heteronuclear atoms interacting with a short-range δ potential 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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