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Exact Results for a Tunnel-Coupled Pair of Trapped Bose-Einstein Condensates

Zhou, H-Q; Links, Jon; McKenzie, R.H.; Guan, Xi-Wen


A 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...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: Journal of Physics A: Mathematical and General
DOI: 10.1088/0305-4470/36/7/104


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