Quantum spin hopping in half-doped manganites

In the context of a non-equilibrium many-body theory that describes photoinduced femtosecond changes in the magnetic phase of strongly correlated systems, I study two insulating ground states for the case of half-doped manganites: the CE and the FI-CO phase. I numerically derive their energy dispersion for the quantum spin case, for various values of the Jahn-Teller energy and of the spin-canting angle. In addition, I calculate the percentage of spin ips in their valence and conduction band