Analytical solutions for two heteronuclear atoms in a ring trap
Institute of Physics, Chinese Academy of Sciences, Beijing 100190, P.R. China
Received: 6 April 2011
Received in final form: 9 June 2011
Published online: 23 August 2011
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.
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2011