Fast optimal transition between two equilibrium states
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.
Cite
@article{arxiv.1006.1495,
title = {Fast optimal transition between two equilibrium states},
author = {Jean-François Schaff and Xiao-Li Song and Patrizia Vignolo and Guillaume Labeyrie},
journal= {arXiv preprint arXiv:1006.1495},
year = {2011}
}
Comments
5 pages, 4 figures, an error in Eq. (2) has been corrected