Nonlinear Quantum Coherence Effects in Driven Mesoscopic Systems

In these pedagogical notes the diffuson-cooperon perturbation theory of weak localization and mesoscopic phenomena is extended to describe non-equilibrium and nonlinear effects in quantum disordered systems. It is shown how such perturbation theory works in the time and frequency domain for essentially nonlinear phenomena. Examples of quantum rectification in a mesoscopic ring and the dynamic localization in quantum dots are discussed in detail.