Optomechanically controllable double electromagnetically induced transparency and parametric amplification in a quantum well optomechanical system

Abstract

We demonstrate the formations of optomechanically controllable double electromagnetically induced transparency (DEIT) and parametric amplification in a quantum well (QW) optomechanical system with the anti-Stokes and Stokes sideband effects. We analytically solve the Heisenberg-Langevin equations under the steady-state condition and give the expression of the susceptibility of the QW. For the optomechanical cavity driven into the anti-Stokes sideband, the coupling between the anti-Stokes sideband process and the process of the interaction between the QW and the cavity field leads to the double-dark resonances, resulting in DEIT. In the Stokes sideband case, a similar coupling can lead to the appearance of parametric amplification. These two effects are interconvertible by adjusting the relevant detuning and can be regulated by the optomechanical and QW-cavity coupling strengths. This work may be applied in the achievement of optical switches with a more obvious contrast ratio.