Non-equilibrium dynamics of strongly correlated electron system with spin-orbit coupling

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To clarify a role of the spin-orbit coupling in the emergence of novel spin-orbital states in 5d-electron compounds such as Sr 2_IrO_4 , we investigate ground-state properties of a multi-orbital model numerically. We find that the spin-orbit-induced state exhibits anisotropic charge and spin distributions. Regarding the photo-induced phase transition of multi-orbital systems, we numerically analyze the non-equilibrium dynamics. We observe that the time evolution of the spin-orbital state is caused by a pair-hopping process that is characteristic of multi-orbital systems.