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

E. Sakellari; M. Leadbeater; N. J. Kylstra; C. S. Adams

doi:10.1103/PhysRevA.66.033612

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

E. Sakellari, M. Leadbeater, N. J. Kylstra, C. S. Adams

DOI 10.1103/PhysRevA.66.033612 · Physical Review A

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Abstract

The dc and ac Josephson dynamics of a Bose-Einstein condensate in a double-well potential is analyzed in terms of transitions between energy eigenstates. By solving the time-independent and time-dependent Gross-Pitaevskii equations in one dimension, we identify population transfer associated with level crossings, and determine the critical velocity that characterizes the transition. We test the validity of a nonlinear 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.