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Validity of magnus formula
Validity of magnus formula








In certain cases, the system is governed by either the zero-temperature or infinite-temperature properties, and therefore can be properly described by the corresponding equilibrium state.Įlectromagnetic driving in a honeycomb lattice can induce gaps and By taking the high frequency limit of the external driving, we elucidate that the system recovers the translational invariance in time and can be described by a mixture of the zero-temperature and infinite-temperature properties. When the driving period is much shorter than the inverse of the Kondo temperature, an intriguing oscillating behavior (resonance phenomenon) emerges in the time average of the impurity spin polarization with increasing the local magnetic field intensity. We first consider a specific case where the local magnetic field is periodically switched on and off. We obtain the exact results on the time evolution for arbitrary periodic time dependence at the special point in the parameter space known as the Toulouse limit. The periodic time dependence is introduced for a local magnetic field which couples to the impurity spin and also for an in-plane exchange interaction. We study the nonequilibrium dynamics of a periodically-driven anisotropic Kondo impurity model.

validity of magnus formula validity of magnus formula

We understand these numerical findings using the notion of relative phase matching where prethermal phase (heating regime) refers to an effectively coupled (isolated) nature of the rotors. Consequently, we attribute non-diffusive and non-localize structure of correlation to the crossover regime, connecting the prethermal phase to the heating phase, where the kinetic energy displays complicated growth structure. On the other hand, the heating regime, characterized by a diffusive growth of kinetic energy, can sharply localize the correlation at the fluctuation center for all time. We remarkably find the diffusive transport of fluctuation in the prethermal regime reminding us the underlying hydrodynamic picture in a generalized Gibbs ensemble with a definite temperature that depends on the driving parameter and initial conditions.

validity of magnus formula

Having established the fact that interacting classical kicked rotor systems exhibit long-lived prethermal phase with quasi-conserved average Hamiltonian before entering into chaotic heating regime, we use spatio-temporal fluctuation correlation of kinetic energy to probe the above dynamic phases.










Validity of magnus formula