Josephson effects in dilute Bose-Einstein condensates

Details Josephson effects in dilute Bose-Einstein condensates Josephson effects in dilute Bose-Einstein condensates

2000-02-21

arxiv.org/abs/physics/0002041v1

Physics

Atomic Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.84.4521

We propose an experiment that would demonstrate the ``dc'' and ``ac'' Josephson effects in two weakly linked Bose-Einstein condensates. We consider a time-dependent barrier, moving adiabatically across the trapping potential. The phase dynamics are governed by a ``driven-pendulum'' equation, as in current-driven superconducting Josephson junctions. At a critical velocity of the barrier (proportional to the critical tunneling current), there is a sharp transition between the ``dc'' and ``ac'' regimes. The signature is a sudden jump of a large fraction of the relative condensate population. Analytical predictions are compared with a full numerical solution of the time dependent Gross-Pitaevskii equation, in an experimentally realistic situation.

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