Abstract
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 modulation of the driving laser field. We investigate how this feedback scheme allows control of the statistics of the photon counting and the quadratures of the light, as well as the many-body state of the atom chain. In particular, we identify regimes where both the photon counting rate and its fluctuations are dramatically enhanced. Moreover, we find that the action of homodyne detection feedback allows the alteration of the stationary state of the chain from a pure, dimer state, to a fully mixed one. Our results provide insights on how to control and engineer dynamics in light–matter networks realizable with state-of-the-art experimental setups.
Highlights
Recent years have seen rapid progress in the development of experimental techniques and theoretical ideas concerning the real-time manipulation of quantum optical many-body systems [1–9]
Feedback protocols have been identified as a promising strategy to control the dynamics, the stationary state, and the properties of light emitted from quantum optical systems [13–18]
We focus on two measurement schemes: the detection of single photons arriving at a photon counting detector, and the measurement of the optical light quadratures via homodyne detection [50, 51]
Summary
Recent years have seen rapid progress in the development of experimental techniques and theoretical ideas concerning the real-time manipulation of quantum optical many-body systems [1–9]. Feedback protocols have been identified as a promising strategy to control the dynamics, the stationary state, and the properties of light emitted from quantum optical systems [13–18]. Place preferably into one of the modes travelling into a given direction These features make the atom-nanofiber setting a promising candidate for the realization of photonic quantum technologies [38–49]. We focus on two measurement schemes: the detection of single photons arriving at a photon counting detector, and the measurement of the optical light quadratures via homodyne detection [50, 51] We investigate how this allows to manipulate the stationary many-body state of the atoms as well as the intensity and fluctuations of the chirally emitted light.
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