  We theoretically investigate measurement-based feedback control of a
laser-driven one-dimensional atomic chain interfaced with a nanofiber. The
interfacing leads to all-to-all interactions among the atomic emitters and
induces chirality, i.e. the directional emission of photons into a preferred
guided mode of the nanofiber. In the setting we consider, the measurement of
guided light -- conducted either by photon counting or through homodyne
detection of the photocurrent quadratures -- is fed back into the system
through a modulation of the driving laser field. We investigate how this
feedback scheme influences the photon counting rate and the quadratures of the
guided light field. Moreover, we analyse how feedback alters the many-body
steady state of the atom chain. Our results provide some insights on how to
control and engineer dynamics in light-matter networks realizable with
state-of-the-art experimental setups.
