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
B Alterkop et al 2003 J. Phys. D: Appl. Phys. 36 552
V V Kryzhniy 2006 Inverse Problems 22 579
D R Grigore 2004 J. Phys. A: Math. Gen. 37 2803
R M Radwan et al 2004 J. Phys. D: Appl. Phys. 37 764
P Malits and I D Vagner 1999 J. Phys. A: Math. Gen. 32 1507
Raghu Kacker et al 2006 Metrologia 43 S167
B.F. McMillan and R.L. Dewar 2006 Nucl. Fusion 46 477
P Connes 1986 J. Opt. 17 5
Golam Mortuza Hossain 2004 Class. Quantum Grav. 21 179