Shortcut to adiabaticity for an interacting Bose-Einstein condensate

J.-F. SCHAFF; X.-L. SONG; P. CAPUZZI; P. VIGNOLO; G. LABEYRIE

EUROPHYSICS LETTERS

EPL ASSOCIATION

Año: 2011 vol. 93 p. 23001 - 230015

0295-5075

We present an investigation of the fast decompression of a three-dimensional (3D) Bose-Einstein condensate (BEC) at finite temperature using an engineered trajectory for the harmonic trapping potential. Taking advantage of the scaling invariance properties of the time-dependent Gross-Pitaevskii equation, we exhibit a solution yielding a final state identical to that obtained through a perfectly adiabatic transformation, in a much shorter time. Experimentally, we perform a large trap decompression and displacement within a time comparable to the final radial trapping period. By simultaneously monitoring the BEC and the  non-condensed fraction, we demonstrate that our specific trap trajectory is valid both for a quantum interacting many-bodysystem and a classical ensemble of non-interacting particles.