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arXiv · 1006.1495

Fast optimal transition between two equilibrium states

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

We demonstrate a technique based on invariants of motion for a time-dependent Hamiltonian, allowing a fast transition to a final state identical in theory to that obtained through a perfectly adiabatic transformation. This method is experimentally applied to the fast decompression of an ultracold cloud of Rubidium 87 atoms held in a harmonic magnetic trap, in the presence of gravity. We are able to decompress the trap by a factor of 15 within 35 ms with a strong suppression of the sloshing and breathing modes induced by the large vertical displacement and curvature reduction of the trap. When compared to a standard linear decompression, we achieve a gain of a factor of 37 on the transition time.

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Jean-François Schaff, Xiao-Li Song, Patrizia Vignolo, Guillaume Labeyrie. 2011-05-11. Fast optimal transition between two equilibrium states. https://doi.org/10.1103/physreva.82.033430

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