Calculation of Anderson Localization Length by Using Generalized Quantum Kicked Rotator Analytically

We use the generalized quantum kicked rotator model and its relation with the Anderson model. We calculate localization length analytically. For this reason, we consider a one-dimensional rotator model for a special potential whose an impulse is applied at equal time intervals, T. We obtain time evolution of the wave function between two successive impulses by an evolution matrix. We change this model to the tight-binding model for a particle on a one-dimensional lattice. At special case the wave function is localized, and then we derive the Anderson localization length for the system analytically.