Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates

TitleExact results for a tunnel-coupled pair of trapped Bose-Einstein condensates
Publication TypeJournal Article
Year of Publication2003
AuthorsZhou, H. Q., Links J., McKenzie Ross H., and Guan X. W.
JournalJournal Of Physics A-Mathematical And General
Volume36
Issue7
PaginationL113–L119
AbstractA model describing coherent quantum tunnelling between two trapped Bose-Einstein condensates is discussed. It is not well known that the model admits an exact solution, obtained some time ago, with the energy spectrum derived through the algebraic Bethe ansatz. An asymptotic analysis of the Bethe ansatz equations leads us to explicit expressions for the energies of the ground and the first excited states in the limit of weak tunnelling and all energies for strong tunnelling. The results are used to extract the asymptotic limits of the quantum fluctuations of the boson number difference between the two Bose-Einstein condensates and to characterize the degree of coherence in the system.