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Optically Dark State in a Ring Cavity with Nanomechanical Mirrors

Sumei Huang

Published Jan 22, 2013• 0 citations
OpenAlex

Abstract

We study the effect of a strong coupling field on the absorptive property of a ring cavity with two mirrors oscillating at slightly different frequencies to a weak probe field. We observe double electromagnetically induced transparency windows separated by an absorption peak at line center in the output probe field under the action of a strong coupling field. We find that increasing driving power can broaden the two transparency windows, which results in narrowing of the central absorption peak. At high driving power, the linewidth of the sharp central absorption peak is approximately equal to the mechanical linewidth. We show the normal mode splitting in both the output probe field and the generated Stokes field. We also find that the suppression of the four-wave mixing process can be achieved on resonance.

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We study the effect of a strong coupling field on the absorptive property of a ring cavity with two mirrors oscillating at slightly different frequencies to a weak probe field. We observe double electromagnetically induced transparency windows separated by an absorption peak at line center in the output probe field under the action of a strong coupling field. We find that increasing driving power can broaden the two transparency windows, which results in narrowing of the central absorption peak. At high driving power, the linewidth of the sharp central absorption peak is approximately equal to the mechanical linewidth. We show the normal mode splitting in both the output probe field and the generated Stokes field. We also find that the suppression of the four-wave mixing process can be achieved on resonance.
We study the effect of a strong coupling field on the absorptive property of a ring cavity with two mirrors oscillating at slightly different frequencies to a weak probe field. We observe double electromagnetically induced transparency windows separated by an absorption peak at line centre in the output probe field under the action of a strong coupling field. We find that increasing driving power can broaden the two transparency windows, which results in narrowing of the central absorption peak. At high driving power, the linewidth of the sharp central absorption peak is approximately equal to the mechanical linewidth. We show the normal mode splitting in both the output probe field and the generated Stokes field. We also find that the suppression of the four-wave mixing process can be achieved on resonance.
We investigate the control field phase-dependent output field transmission from a red detuned ring cavity optomechanical system. Our scheme displays a double transparency window in the presence of a strong control and weak probe field. Additionally, we invoke an external mechanical pump to one of the movable mirrors to modulate its vibration. Complete control over the output field transmission through one of the transparency windows can be achieved due to the combined effect of the amplitudes and the phases of the mechanical pump and the control field. Further, a tunable group delay of the probe pulse propagation can be obtained by the tailoring of the control field phase in the presence of a suitable mechanical drive. We further discuss the effect of control field phase on Stokes field generation via the four-wave mixing process. This scheme may find potential applications in weak signal sensing and all-optical communication purposes.
We consider an optomechanical cavity made by two moving mirrors which contain a Kerr-down-conversion nonlinear crystal. We show that the coherent oscillations of the two mechanical oscillators can lead to splitting in the electromagnetically induced transparency (EIT) resonance and the appearance of an absorption peak within the transparency window. In this configuration, the coherent-induced splitting of EIT is similar to driving a hyperfine transition in an atomic $\ensuremath{\Lambda}$-type three-level system by a radio-frequency or microwave field. Also, we show that the presence of nonlinearity provides an additional flexibility for adjusting the width of the transparency windows. The combination of an additional mechanical mode and the nonlinear crystal suggests new possibilities for adjusting the resonance frequency, the width and the spectral positions of the EIT windows, as well as the enhancement of the absorption peak within the transparency window.
We demonstrate both experimentally and theoretically that the intracavity electromagnetically induced transparency dark-state field can be significantly amplified with the characteristic three-peak structure unchanged by a four-wave mixing process in an optical ring cavity containing four-level double-Λ Doppler-broadened rubidium atoms. The intracavity dispersion and absorption/gain properties are used to qualitatively explain this cavity resonance structure. The amplification is saturated at a relatively high pump laser power, and the dark-state peak position is shifted due to the ac-Stark effect.
We propose a method to controllably suppress the effect of the four-wave mixing caused by the coupling of the strong control optical field to both optical transitions in the Λ system under the conditions of electromagnetically induced transparency (EIT). At sufficiently high atomic density, this process leads to amplification of a weak optical signal field, that is detrimental for the fidelity of any EIT-based quantum information applications. Here we show that an additional absorption resonance centred around the Stokes field frequency, generated in such a four-wave mixing process, may efficiently suppress the unwanted probe amplification without affecting properties of the EIT interaction. We discuss the possibility of creating such tunable absorption using two-photon Raman absorption resonances in the other Rb isotope, and present some preliminary experimental results.
We demonstrate the existence of the phenomenon of the inverse electromagnetically induced transparency (IEIT) in an opto mechanical system consisting of a nanomechanical mirror placed in an optical cavity. We show that two weak counter-propagating identical classical probe fields can be completely absorbed by the system in the presence of a strong coupling field so that the output probe fields are zero. The light is completely confined inside the cavity and the energy of the incoming probe fields is shared between the cavity field and creation of a coherent phonon and resides primarily in one of the polariton modes. The energy can be extracted by a perturbation of the external fields or by suddenly changing the QQQ of the cavity.