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Journal of Physics B Atomic Molecular and Optical Physics

Tunable slow light in a quadratically coupled optomechanical system

Zhan Xiao-Gui, Liu-Gang Si, Anshou Zheng, Xiaoxue Yang

Published Jan 3, 2013• 55 citations
Publisher

Abstract

We theoretically investigate the slow light in a quadratically coupled optomechanical system. Different from the linear coupling case, the slow light via quadratic coupling derives from a two-phonon process, and the fluctuation in displacement plays a vital role in nonlinear coherence. The numerical results show that the slow light can be realized in an extensive range of parameters even at high temperature, e.g., 200 K. We also find that the environment temperature which provides almost all of the phonon energy, together with the coupling field power, jointly drive the realization of slow light.

DOI
10.1088/0953-4075/46/2/025501

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Abstract Realizing and controlling a Fano resonance is of fundamental significance in physics and may find applications in optical switching and sensitivity-enhanced biochemical sensing. Here we present a practicable scheme to realize Fano resonance and slow light in a quadratically coupled optomechanical system with membranes. It is shown that Fano resonance generation is precisely controlled by changing the frequency detuning between the cavity field and the control field in the quadratically coupled optomechanical system, while additional membrane inside the system can considerably establish a tunable switch between a single Fano resonance and double Fano resonances. In particular, the asymmetric line shape and the number of Fano resonance can be well tuned by the reflectivity of the membranes, the wavelength of the control field and the environment temperature. Furthermore, it is also shown that the slow light effects of the transmitted probe field can be obtained under two-phonon resonance condition and the group delay of the transmitted probe field can be adjusted by the frequency and power of the control field. Our scheme may help to achieve the practical application of Fano resonances relevant to the nonlinear optics.
We describe how electromagnetically induced transparency can arise in quadratically coupled optomechanical systems. Due to quadratic coupling, the underlying optical process involves a two-phonon process in an optomechanical system, and this two-phonon process makes the mean displacement, which plays the role of atomic coherence in traditional electromagnetically induced transparency (EIT), zero. We show how the fluctuation in displacement can play a role similar to atomic coherence and can lead to EIT-like effects in quadratically coupled optomechanical systems. We show how such effects can be studied using the existing optomechanical systems.
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