The fast–slow light transitions induced by Fano resonance in multiple nanomechanical resonators

Abstract

We propose a loop-coupled hybrid nanomechanical resonator (NR) system, in which a two-level quantum dot is embedded into a doubly clamped NR coupled to another two NRs, and each two NRs can interact with each other by the Coulomb interaction. We investigate the absorption spectrum of the quantum dot driven by two-tone fields, which presents multiple Fano resonances in the condition of the NRs with three identical frequencies. With controlling the interaction of the NRs, the absorption spectra can present double Fano resonance or triple Fano resonance, and multiple Fano resonances are accompanied by the rapid normal phase dispersion, which leads to the slow light effect. We demonstrate each Fano resonance peaks in the absorption spectra can result in the optical propagation, and the numerical results manifest that the transition from fast to slow light can be reached by manipulating the interaction of the NRs. The hybrid NRs system can be reached to the network-coupled NRs network system by weaving different NRs and controlling the coupling of NRs, which indicates a promising integration platform to reach potential application in quantum information processing.