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

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)PRLTAO0031-900710.1103/PhysRevLett.114.043602], 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 ≫ 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.