Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2004-12-09
J. Phys. A: Math. Gen. 38 (2005) 6879-6891
Physics
Condensed Matter
Other Condensed Matter
12 pages, 5 .eps figures + 4 figs, classical analysis, perturbation theory
Scientific paper
10.1088/0305-4470/38/31/002
In this work we investigate the energy gap between the ground state and the first excited state in a model of two single-mode Bose-Einstein condensates coupled via Josephson tunneling. The energy gap is never zero when the tunneling interaction is non-zero. The gap exhibits no local minimum below a threshold coupling which separates a delocalised phase from a self-trapping phase which occurs in the absence of the external potential. Above this threshold point one minimum occurs close to the Josephson regime, and a set of minima and maxima appear in the Fock regime. Analytic expressions for the position of these minima and maxima are obtained. The connection between these minima and maxima and the dynamics for the expectation value of the relative number of particles is analysed in detail. We find that the dynamics of the system changes as the coupling crosses these points.
Foerster Angela
Links Jon
Tonel Arlei Prestes
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