Controlling single photons via lattice dark states in atomic arrays*

Ordered atomic arrays with subwavelength spacing have emerged as a versatile quantum optical platform that exhibits strong and directional coupling between light and matter. In this platform, collective interactions give rise to sets of super- and subradiant lattice states. While radiating states can be easily excited, subradiant modes do not couple to the radiative field and cannot be accessed by incoming light fields. In this talk, I will show that spatial modulations of the atomic detuning can be used to individually and selectively address such highly subradiant states, often called dark states. Additionally, I will demonstrate that dark states and spatial detuning patterns can be combined to store and retrieve single photons, as well as to control the temporal, frequency and spatial degrees of freedom of the emitted electromagnetic field.