Fig. 8: Non-classical initial state.
Mean square distance MSD(t) of a particle with a non-classical initial state. The particle is prepared in a superposition of being in the corner and one of its first neighbors. The solid red line corresponds to a particle in a seventh generation Sierpiński gasket with a symmetric initial configuration. The solid blue line corresponds to the anti-symmetric initial condition for the fractal geometry. The dashed lines correspond to a standard triangular lattice geometry with the same basis as the fractal considered. J is the hopping term between each connected site and a is the distance between neighbor sites.
