Fast transport of Bose-Einstein condensates

Abstract

We propose an inverse method to accelerate without final excitation the adiabatic transport of a Bose-Einstein condensate. The method is based on a partial extension of the Lewis-Riesenfeld invariants and provides transport protocols that satisfy exactly the no-excitation conditions without approximations. This inverse method is complemented by optimizing the trap trajectory with respect to different physical criteria and by studying the effect of perturbations such as anharmonicities and noise.