Prediction of deterministic melting regions of two and three laser-cooled ions in a Paul trap

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Published under licence by IOP Publishing Ltd
, , Citation M G Moore and R Blümel 1995 Phys. Scr. 1995 434 DOI 10.1088/0031-8949/1995/T59/063

1402-4896/1995/T59/434

Abstract

Through the use of detailed numerical simulations we predict the existence of a nontrivial region in the Paul trap parameter space (a, q) where stable, singly periodic orbits (crystals) do not exist. As ions are dragged into this region via an adiabatic change in control parameters, a deterministic melting transition is observed. A detailed map of this deterministic melting region is constructed for the 2 and 3 ion cases. As crystals are dragged into this region by an adiabatic change of control parameters, a melting transition will occur. This transition does not depend on external perturbations, such as laser noise or collisions with neutral atoms.

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10.1088/0031-8949/1995/T59/063