  We investigate the non-equilibrium charge dynamics of a triple quantum dot
and demonstrate how electron transport through these systems can give rise to
non-trivial tunnelling paths. Using a real-time charge sensing method we
establish tunnelling pathways taken by particular electrons under well-defined
electrostatic configurations. We show how these measurements map to the
chemical potentials for different charge states across the system. We use a
modified Hubbard Hamiltonian to describe the system dynamics and show that it
reproduces all experimental observations.
