Fast optimal transition between two equilibrium states

Details Fast optimal transition between two equilibrium states Fast optimal transition between two equilibrium states

2010-06-08

arxiv.org/abs/1006.1495v3

Phys. Rev. A 82, 033430 (2010)

Physics

Condensed Matter

Quantum Gases

5 pages, 4 figures, an error in Eq. (2) has been corrected

Scientific paper

10.1103/PhysRevA.82.033430

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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