Tunable fast to slow light and second-order sideband generation in an optomechanical system with phonon pump
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THE EUROPEAN PHYSICAL JOURNAL D
Regular Article
Tunable fast to slow light and second-order sideband generation in an optomechanical system with phonon pump Hua-Jun Chena School of Mechanics and Photoelectric Physics, Anhui University of Science and Technology, Huainan, Anhui 232001, P.R. China Received 21 November 2019 / Received in final form 30 March 2020 Published online 16 June 2020 c EDP Sciences / Societ`
a Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020 Abstract. We theoretically demonstrate optomechanically induced transparency (OMIT) and its related coherent optical propagation properties such as fast and slow light effects in a cavity optomechanical system driven by a weak coherent phonon pump for suitable parametric and detuning regimes. The probe transmission spectrum experiences different processes under different detuning regimes, and the numerical simulations indicating a tunable and controllable fast-to-slow light propagation can be achieved by controlling the driving amplitudes and phase of the phonon pump. Further, the second-order sideband (SOS) generation is also demonstrated in the system, and it is found that the efficiency of the SOS generation can be significantly enhanced with manipulating the phonon pump in the resonance regime with numerical simulations. More interestingly, the SOS generation is also sensitive to the detuning (the off-resonance regime), and a robust SOS can be induced and the efficiency of the SOS generation even presents mode splitting which is similar to the linear OMIT. These results lead to good tunability of SOS generation and may find applications in manipulation of light propagation.
1 Introduction Cavity optomechanics systems (C-OMS) which study the interaction between light and mechanical oscillation have become a rapidly developing field in the last decade [1], and optomechanics phenomena, such as ground states cooling [2–4], optomechanically induced transparency (OMIT) [5–8], slow and fast light [8–10], squeezed light [11–13], mass sensing [14–17], and so on have been demonstrated, which may pave the way for potential applications of optomechanical devices. Furthermore, C-OMS also present a platform to research the nonlinear phenomena of light-matter interaction, such as optical bistability [18–22] and four-wave mixing (FWM) [23–26]. Most recently, another significant nonlinear optomechanical interactions, the secondand higher-order sideband generation [27–39] as another typical nonlinear optomechanical effect, have also been revealed in different kinds of OMS. When we apply one strong pump light field (with frequency ωp ) and one weak probe light field (with frequency ωs ) to the optomechanical systems, the SOS will generate with the output fields with frequencies ωp ± 2δ (δ = ωs − ωp is the probe-pump detuning), where ωp + 2δ is the second-order upper sideband frequency component and ωp −2δ is the second-order a
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lower sideband frequency component. The investigation of the SOS is very importan
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