Josephson spectroscopy of a dilute Bose-Einstein condensate in a double-well potential

Details Josephson spectroscopy of a dilute Bose-Einstein condensate in a double-well potential Josephson spectroscopy of a dilute Bose-Einstein condensate in a double-well potential

2002-04-03

arxiv.org/abs/cond-mat/0204086v1

Physics

Condensed Matter

Scientific paper

10.1103/PhysRevA.66.033612

The dynamics of a Bose-Einstein condensate in a double-well potential are analysed in terms of transitions between energy eigenstates. By solving the time-dependent and time-independent Gross-Pitaevskii equation in one dimension, we identify tunnelling resonances associated with level crossings, and determine the critical velocity that characterises the resonance. We test the validity of a non-linear two-state model, and show that for the experimentally interesting case, where the critical velocity is large, the influence of higher-lying states is important.

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