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We study quasi-particle dynamics in a quasi-periodic Ising model withtemporally fluctuating transverse fields. Specifically, we calculate thedynamical exponents of the standard deviation of a quasi-particle spreadingunder a field chosen randomly from binary values $\pm h$ at every timeinterval. We find that the short-time behavior of the dynamical exponentsdepends on the interval of the temporally fluctuating fields. We also revealhow the quasi-particle dynamics affects the relaxation of spin-spin correlationfunctions. The dynamics can be explained via the overlap between theeigenvectors of a Hamiltonian with $\pm h$.

Quasi-Particle Dynamics in Quasi-Periodic Ising Model with Temporally Fluctuating Transverse Fields