English

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

Condensed Matter 2009-11-07 v1

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/0204086,
  title  = {Josephson spectroscopy of a dilute Bose-Einstein condensate in a double-well potential},
  author = {E. Sakellari and M. Leadbeater and N. J. Kylstra and C. S. Adams},
  journal= {arXiv preprint arXiv:cond-mat/0204086},
  year   = {2009}
}