Figure 2
From: Singularity of the time-energy uncertainty in adiabatic perturbation and cycloids on a Bloch sphere
Trajectories, infidelity and length.
The top panel shows two trajectories, in red, on a Bloch sphere for 
with n = 1 and 7, respectively. Here n represents the number of complete cycloid arcs. The blue line is the adiabatic path or the trajectory of a magnetic field. The middle and bottom panels plot the infidelity, the probability deviating from 
and the distance of the quantum evolution, respectively, as a function of the adiabatic parameter λ. The blue points in the bottom panel represent the perfect transition.
