Shortcut to adiabaticity for an interacting Bose-Einstein condensate

Details Shortcut to adiabaticity for an interacting Bose-Einstein condensate Shortcut to adiabaticity for an interacting Bose-Einstein condensate

2010-09-29

arxiv.org/abs/1009.5868v2

EPL 93, 23001 (2011)

Physics

Condensed Matter

Quantum Gases

5 pages, 4 figures

Scientific paper

10.1209/0295-5075/93/23001

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-body system and a classical ensemble of non-interacting particles.

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