Richardson—Gaudin form of Bethe Ansatz solutions for an atomic-molecular Bose-Einstein condensate model

30th International Colloquium on Group Theoretical Methods in Physics

Shen, Yibing^1 ; Links, Jon^1

School of Mathematics and Physics, University of Queensland, 4072, Australia^1

关键词: Alternative solutions;    Bethe ansatz;    Bethe ansatz solution;    Bose-Einstein condensates;    Exact solution;    Integrable models;    Interconversions;    Richardson;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012068/pdf
DOI  :  10.1088/1742-6596/597/1/012068

来源: IOP

【 摘 要 】

An integrable model describing the interconversion between Bose-Einstein condensates of atomic and molecular degrees of freedom is studied. An exact solution for this model has been previously derived via the algebraic Bethe Ansatz formalism. Here we derive an alternative solution of the Richardson-Gaudin form, and highlight some of the implications of the result.