Quasiparticle dynamics in a quasiperiodic Ising model with temporally fluctuating transverse fields

We study quasiparticle dynamics in a quasiperiodic Ising model with temporally fluctuating transverse fields. Specifically, we calculate the dynamical exponents of standard deviation spreading under field chosen randomly from binary values $\ifmmode\pm\else\textpm\fi{}h$ at every time interval. find that short-time behavior depends on interval also reveal how affects relaxation spin-spin correlation functions. The can be explained via overlap between eigenvectors Hamiltonian $\ifmmode\pm\else\textpm\fi{}h$.