A miniaturised hybrid ion-atom chip trap and the non-equilibrium statistical mechanics of trapped ions

Experiments involving trapped ultracold matter are of great interest to a diverse range of fields, from spectroscopy and quantum computing to ultracold chemistry. Hybrid traps allowing for the simultaneous confinement of charged and uncharged matter extend the scope of these experiments, but have not yet benefited from the miniaturisation of the trapping architectures demonstrated for traps which only confine either ions or neutral particles. This miniaturisation greatly enhances the spatial resolution of the forces with which the trapped particles are manipulated, and this thesis details the design and fabrication of a prototype miniaturised hybrid trap to take advantage of this increased precision. The co-trapping of ions and neutral particles leads to multiple mechanisms by which the energy distributions of the trapped ions may deviate from thermal statistics, which have previously been treated largely empirically. In this thesis, these effects are explored numerically and analytically to provide a theoretical framework for this behaviour through the formalism of superstatistics. The results derived here explain the deviations from thermal statistics observed in precision spectroscopy experiments and resolve outstanding questions about both the mechanism by which ions acquire a non-thermal energy distribution during buffer gas cooling with neutral atoms and the analytical form of this distribution. This significantly improves the ability to correctly interpret the results of experiments, and is applicable not only to the hybrid chip trap developed here, but to hybrid ion-neutral traps in general.