Abstract
In this work we present transmission spectra of a two atom timed Dicke state in an optical cavity which is subject to the parametric driving. In the proposed scheme, the parametric driving can squeeze the cavity mode and exponentially enhance the atom-cavity interaction. We show that the interaction between the timed Dicke state and squeezed cavity mode induces the quantum interference and normal mode splitting on the transmission spectra. In addition, we demonstrated that the spectra intensities are exponential quadratic enhanced under the parametric driving, which may provide a feasible scheme for sensitivity enhancement of the single photon measurement.
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