Phase diffusion model of a one-dimensional superradiance lattice and its application as a controllable high-frequency light reflector

We study the effect of quantum phase fluctuation (QPF) on a one-dimensional superradiance lattice (1DSL) and its application as a controllable high-frequency light reflector. In electromagnetically induced transparency (EIT)-based 1DSL [Phys. Rev. Lett. 114, 043602 (2015)], counter-propagating control laser fields are responsible for the hopping of electrons from the ith to the jth atom, where n(1) and n(2) coupling photons are required for forward and backward modes, respectively. In the limit of n(1), n(2) >> 1, the role of QPF becomes significant, and, therefore, the phase diffusion model of 1DSL needs to be considered. We show that in the presence of QPF a perfect 1DSL can be realized due to the fact that EIT vanishes at the resonance condition when probe detuning is zero. It leads to a reasonably high (around 60%) reflectivity of the incident probe field at resonance condition. For the off resonant case, the reflectivity reduces due to the phase diffusion; however, it can be overcome via manipulation of the control fields. (C) 2022 Optica Publishing Group