Abstract
We consider a simple model of charged microparticles trapped in an electrodynamic field and interacting according to Coulomb forces. We reveal a bifurcation of the stable equilibrium point depending on the system parameters. Mathematical modelling of charged particles localization in a linear electrodynamic trap was implemented and effective potential splitting was demonstrated. The obtained splitting of Coulomb crystal corresponds to the experimental results.
Highlights
Nowadays the processes of phase transitions in Coulomb structures localized in linear quadrupole traps are actively studied
One of the ion localization problems in three-dimensional space is the localization in a field of a linear ion trap with end cape electrodes
Defining the equilibrium points in the system consisting of two point charges Q located on the z axis and a charged particle q which attached by a spring to the z axis
Summary
Nowadays the processes of phase transitions in Coulomb structures localized in linear quadrupole traps are actively studied. This interest is caused by the potential applicability of the system “linear trap + linear ion crystal” as an elementary basis for quantum computing. We consider a linear quadrupole trap field separately from the field of end cape electrodes, the potential energy of a charged ion q takes a form [3]:. Fact that the end cape electrodes field has a minor effect on the localization process is usually taken as an axiom.
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