| Summary: | In this work, we present a new approach to disordered, periodically driven
(Floquet) quantum many-body systems based on flow equations. Specifically, we
introduce a continuous unitary flow of Floquet operators in an extended Hilbert
space, whose fixed point is both diagonal and time-independent, allowing us to
directly obtain the Floquet modes. We first apply this method to a periodically
driven Anderson insulator, for which it is exact, and then extend it to driven
many-body localized systems within a truncated flow equation ansatz. In
particular we compute the emergent Floquet local integrals of motion that
characterise a periodically driven many-body localized phase. We demonstrate
that the method remains well-controlled in the weakly-interacting regime, and
allows us to access larger system sizes than accessible by numerically exact
methods, paving the way for studies of two-dimensional driven many-body
systems.
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