Spatiotemporal dynamics of optically generated electron-hole excitations in single-walled carbon nanotubes

A method for studying spatially and temporally resolved many-body dynamics of charge carriers in carbon nanotubes is presented. We derive coherent, spatially inhomogeneous Bloch equations for charge-carrier dynamics in an optically excited carbon nanotube. By solving the equations of motion numerically under spatially inhomogeneous excitation conditions, we also demonstrate a striking difference in carrier drift velocity for excitation at the exciton resonance and above the band edge.