Floquet scattering theory based on effective Hamiltonians of driven systems

Abstract

The design of time-independent effective Hamiltonians that describe periodically modulated systems provides a promising approach to realize new forms of matter. This so-called Floquet engineering approach is currently limited to the description of wave-packet dynamics. Here, we utilize the notion of effective Hamiltonians and develop a Floquet engineering scattering formalism that relies on a systematic high-frequency expansion of the scattering matrix. The method unveils the critical role of micromotion. An application to the case of nonreciprocal transport is presented.