1103.3914 (Wei Fan et al.)

Quantum corrections to the dynamics of the Bose-Einstein condensate in a
double-well potential    [PDF]

Wei Fan, Yan Xu, Bing Chen

The dynamics of the Bose-Einstein condensate (BEC) in a double-well potential
is of- ten investigated under the mean-field theory (MFT). This works
successfully for large particle numbers with dynamical stability. But for
dynamical instabilities, quantum cor- rections to the MFT becomes important
[Phys.Rev.A 64, 013605(2001)]. Recently the adiabatic dynamics of the
double-well BEC is investigated under the MFT in terms of a dark variable
[Phys.Rev.A 81, 043621(2010)], which generalizes the adiabatic passage
techniques in quantum optics to the nonlinear matter-wave case. We give a fully
quan- tized version of it using second-quantization and introduce new
correction terms from higher order interactions beyond the on-site interaction,
which are interactions between the tunneling particle and the particle in the
well and interactions between the tunneling particles. If only the on-site
interaction is considered, this reduces to the usual two-mode BEC.

View original: http://arxiv.org/abs/1103.3914