  We demonstrate the ability to visualize real-space dynamics of charge gap and
magnon excitations in the Mott phase of the single-band Hubbard model and the
remnants of these excitations with hole or electron doping. At short times, the
character of magnetic and charge excitations is maintained even for large
doping away from the Mott and antiferromagnetic phases. Doping influences both
the real-space patterns and long timescales of these excitations with a clear
carrier asymmetry attributable to particle-hole symmetry breaking in the
underlying model. Further, a rapidly-oscillating charge density wave-like
pattern weakens, but persists as a visible demonstration of a sub-leading
instability at half-filling which remains upon doping. The results offer an
approach to analyzing the behavior of systems where momentum-space is either
inaccessible or poorly defined.
