Huan-Qiang Zhou et al 2003 J. Phys. A: Math. Gen. 36 L113 doi:10.1088/0305-4470/36/7/104
Huan-Qiang Zhou1, Jon Links1, Ross H McKenzie1 and Xi-Wen Guan2
Show affiliationsA 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.
03.75.Kk Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
Issue 7 (21 February 2003)
Received 8 August 2002, in final form 12 December 2002
Published 5 February 2003
Huan-Qiang Zhou et al 2003 J. Phys. A: Math. Gen. 36 L113
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