We study optomechanically induced amplification and perfect transparency in a double-cavity optomechanical system. We find that if two control lasers with appropriate amplitudes and detunings are applied to drive the system, optomechanically induced amplification of a probe laser can occur. In addition, perfect optomechanically induced transparency, which is robust to mechanical dissipation, can be realized by the same type of driving. These results indicate important progress toward signal amplification, light storage, fast light, and slow light in quantum information processes.
We experimentally investigate the transient dynamics of an optical cavity field interacting with large ion Coulomb crystals in a situation of electromagnetically induced transparency (EIT). EIT is achieved by injecting a probe field at the single photon level and a more intense control field with opposite circular polarization into the same mode of an optical cavity to couple Zeeman substates of a metastable level in 40Ca+ ions. The EIT interaction dynamics are investigated both in the frequency-domain – by measuring the probe field steady state reflectivity spectrum – and in the time-domain – by measuring the progressive buildup of transparency. The experimental results are observed to be in excellent agreement with theoretical predictions taking into account the inhomogeneity of the control field in the interaction volume, and confirm the high degree of control on light-matter interaction that can be achieved with ion Coulomb crystals in optical cavities.
A method is presented for creating single- and double-cavity-induced transparency based on a cavity QED framework. Using this method we develop a fully quantized model of a cavity-induced transparency (CIT) scheme previously proposed [P. R. Rice and R. J. Brecha, Opt. Commun. 126, 230 (1996)] adopting the quantum-jump approach. This allows us to analyze the interaction of
N cavity fields with an
(N+1)-level quantum system where
N=2,3 for the cases of single- and double-cavity-induced transparency, respectively. In the steady-state limit, a general analytic expression for the linear susceptibility of a weak cavity field is obtained and $N\ensuremath{-}1$ transparency windows are observed. In the model we consider, no external fields are required to induce the transparency and the CIT effect is fully generated by cavity QED photons. We also compare the numerical integration of density-matrix equations with the analytical solutions provided by the quantum-jump approach and show that both results are in excellent agreement.