Full and inverse counting statistics of a donor bound electron coupled to a single reservoir

The distribution of tunnel events in a system can reveal a large amount of information about the system dynamics that may not be immediately apparent. The statistics of this distribution can be measured by counting the number of transition events within a certain time: This is known as full counting statistics (FCS). In this talk I will give an overview of full counting statistics and introduce a new technique known as inverse counting statistics (ICS), which can be used to obtain further information about the dynamics of the system. I will also use both techniques to investigate the dynamics of a single electron bound to a donor cluster that is coupled to a larger sensing quantum dot. The FCS was performed as a function of magnetic field and the ICS is used to determine where the system changes from a two-level to three-level system as the magnetic field is increased.