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Fast optimal transition between two equilibrium states

2010/06/30 by Jean-François Schaff, Xiao-Li Song, Patrizia Vignolo +1 · 2 citations
Physics and Astronomy · #cond-mat.quant-gas

paper · pdf · doi:10.1103/physreva.82.033430

published as Phys. Rev. A 82, 033430 (2010) · 5 pages, 4 figures, an error in Eq. (2) has been corrected

arxiv created 2011/05/11 · arxiv updated 2011/05/12

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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