Abstract

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) [CrossRef]  ], counter-propagating control laser fields are responsible for the hopping of electrons from the $i$th to the $j$th atom, where ${n_1}$ and ${n_2}$ coupling photons are required for forward and backward modes, respectively. In the limit of ${n_1},{n_2} \gg 1$, 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.

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