The excitation operator method and its application to spin dynamics in the one-dimensional XXZ model

We develop the excitation operator method, which is designed for solving the Heisenberg equation of motion by constructing excitation operators. We apply it to spin dynamics in the one-dimensional XXZ model. We find the diffusive spin transport in the gapped phase at the high temperature limit.

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► We present the numerical excitation operator method.
► The method is for studying real time dynamics in nonequilibrium systems.
► We study the spin transport in the 1D XXZ model.
► We find the diffusive transport in the gapped phase.