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arXiv · 1009.5868

Shortcut to adiabaticity for an interacting Bose-Einstein condensate

Jean-François Schaff·Xiao-Li Song·Pablo Capuzzi·Patrizia Vignolo·Guillaume Labeyrie
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Abstract

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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Jean-François Schaff, Xiao-Li Song, Pablo Capuzzi, Patrizia Vignolo, Guillaume Labeyrie. 2010-11-09. Shortcut to adiabaticity for an interacting Bose-Einstein condensate. https://doi.org/10.1209/0295-5075%2F93%2F23001

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