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.

中文翻译：

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从原子链到纳米纤维的手性光子发射的测量反馈控制

我们理论上研究与纳米纤维接口的激光驱动的一维原子链的基于测量的反馈控制。接口导致原子发射器之间的所有相互作用，并引起手性（即，将光子定向发射到纳米纤维的优选引导模式中）。在我们考虑的设置中，通过光子计数或通过对光电流正交的零差检测进行的引导光的测量通过驱动激光场的调制反馈到系统中。我们研究了这种反馈方案如何控制光子计数和光的正交以及原子链的多体状态的统计信息。特别是，我们确定了光子计数率及其波动都显着增强的机制。此外，我们发现零差检测反馈的作用允许链的固定状态从纯二聚体状态改变为完全混合的状态。我们的结果提供了有关如何控制和设计光亮网络中动力学的见解，这些光亮网络可以通过最新的实验设置实现。