Confinement controlled dissociation of a molecular Bose-Einstein condensate

Abstract

We study the collective two-channel dissociation dynamics of a molecular Bose-Einstein condensate into bosonic fragments under tight harmonic confinement. Bose-stimulated dissociation in either channel can only take place provided that the respective trap size $l_i$ for the fragments is large with respect to the healing length $ζ_i$ of the atom-molecule resonance. Thus, even when both channels are equally coupled, differences in mass or in dynamical polarizability enable the control of the reaction outcome by variation of the trap frequency. In particular, if $l_1>ζ_1$ and $l_2<ζ_2$, only the first channel will be amplified. This behavior demonstrate a unique feature of 'superchemistry' wherein a chemical reaction may be controlled by the manipulation of the reaction vessel.

18 pages, 6 figures