We present a brief overview of some the analytic perturbative techniques for computation Floquet Hamiltonian periodically driven, or Floquet, quantum many-body system. The key technical points about each methods discussed are presented in pedagogical manner. They followed by account chosen phenomena where these have provided useful insights. provide an extensive discussion Floquet-Magnus expans...

The anomalous transport of particles in the presence a time-dependent field is considered framework comb model. This turbulent-like dynamics consists inhomogeneous advection along x-backbone and Brownian motion y-side branches. geometrically constrained leads to diffusion backbone, which described by fractional equation with coefficients. time periodic process localization particular form relax...

We review the Floquet theory of linear differential equations with periodic coefficients and discuss its applications to neutrino oscillations in matter of periodically varying density. In particular, we consider parametric resonance in neutrino oscillations which can occur in such media, and discuss implications for oscillations of neutrinos traversing the earth and passing through the earth's...

We study an integrable Floquet quantum system related to lattice statistical systems in the universality class of dense polymers. These are described by a particular non-unitary representation Temperley-Lieb algebra. find simple Lie algebra structure for elements which invariant under shift two sites, and show how local conserved charges Hamiltonian expressed terms this The has phase transition...