Tunable multicolor optomechanically induced transparency in multi-cavity optomechanical system
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Tunable multicolor optomechanically induced transparency in multi-cavity optomechanical system Rui-jie Xiao1
· Gui-xia Pan2 · Ye Liu3
Received: 18 February 2020 / Accepted: 14 August 2020 / © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract We theoretically investigate the dynamics of a driven optomechanical cavity-arrays coupled to a charged nanomechanical resonator via Coulomb interaction. We focus specifically on the optomechanical system consisted of two-identical cavities and two-identical charged nanomechanical resonators. Our study shows that the tunable triple optomechanically induced transparency (OMIT) can be observed from the output field at the probe frequency by controlling the strength of the Coulomb interaction. Moreover, the optomechanical system be extended to N cavities, the results indicate that there are at most multicolor (N + 1) OMIT in the transmitted probe field. Keywords Optomechanically induced transparency · Optomechanical system · Hamiltonian · Langevin equations
1 Introduction Cavity optomechanics [1–4], where the electromagnetic mode of the cavity is coupled to the mechanical motion via radiation pressure force, has recently attracted extensive attention for its properties such as phonon squeezing [5], phonon lasing [6], weak force measurement [7], the cooling of mechanical oscillator [8], and phonon-induced transparency [9]. Optomechanically induced transparency(OMIT) is one of the important applications of optomechanical systems, which is analogous to atomic electromagnetically induced transparency(EIT) [10, 11]. The physical mechanism of OMIT is the destructive interference between the probe field and the anti-Stokes scattering field. The OMIT has been theoretically and experimentally explored [12–14], and widely applied in quantum information and communication processes such as slow light [14], storage of light [15], single-photon routers [16], charge measurement [17], and signal amplifications [18].
Rui-jie Xiao
[email protected] 1
College of Physical Science and Technology, Bohai University, Jinzhou, 121013, China
2
School of Science, Anhui University of Science and Technology, Huainan, 232001, China
3
Department of Mechatronics Engineering, Jinzhou Normal College, Jinzhou, 121000, China
International Journal of Theoretical Physics
Recently, double-OMIT [19–23] and even multiple-OMIT [24–27] have been studied extensively. The emergence of double-OMIT and multiple-OMIT relies on various novel cavity optomechanical systems. For example, double-OMIT has also been achieved in the charged-resonators optomechanical cavity system [18, 19], coupled-disks structure [20], double resonators optomechanical system [22], and couple-cavity optomechanical system [23]. Meanwhile, the multiple-OMIT has been carried out in the atomic-media assisted single optomechanical system [24], two-cavity double resonators optomechanical system [25] and multiple -resonators optomechanical system [26, 27]. Nowadays, optical fields interacting with mechanical arrays [2
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