A mapping approach to synchronization in the "Zajfman trap": stability conditions and the synchronization mechanism
Atomic Physics
2009-11-07 v1
Abstract
We present a two particle model to explain the mechanism that stabilizes a bunch of positively charged ions in an "ion trap resonator" [Pedersen etal, Phys. Rev. Lett. 87 (2001) 055001]. The model decomposes the motion of the two ions into two mappings for the free motion in different parts of the trap and one for a compressing momentum kick. The ions' interaction is modelled by a time delay, which then changes the balance between adjacent momentum kicks. Through these mappings we identify the microscopic process that is responsible for synchronization and give the conditions for that regime.
Keywords
Cite
@article{arxiv.physics/0212083,
title = {A mapping approach to synchronization in the "Zajfman trap": stability conditions and the synchronization mechanism},
author = {Tihamer Geyer and David J. Tannor},
journal= {arXiv preprint arXiv:physics/0212083},
year = {2009}
}
Comments
12 pages, 9 figures; submitted to Phys Rev A