  Adiabatic techniques offer some of the most promising tools to achieve
high-fidelity control of the centre-of-mass degree of freedom of single atoms.
As their main requirement is to follow an eigenstate of the system, constraints
on timing and field strength stability are usually low, especially for trapped
systems. In this paper we present a detailed example of a technique to
adiabatically transport a single atom between different waveguides on an atom
chip. To ensure that all conditions are fulfilled, we carry out fully three
dimensional simulations of the system, using experimentally realistic
parameters. We also detail our method for simulating the system in very
reasonable timescales on a consumer desktop machine by leveraging the power of
GPU computing.
