Optomechanically Induced Transparency and Slow–Fast Light Effect in Hybrid Cavity Optomechanical Systems

Qinghong Liao,Yongchun Liu,Wenjie Nie,Xing Xiao,Weida Bao

doi:10.3390/cryst11060698

Qinghong Liao, Yongchun Liu + Show 3 more

Open Access

https://doi.org/10.3390/cryst11060698

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Abstract

We theoretically investigate the optomechanically induced transparency (OMIT) phenomenon and the fast and slow light effects of a four-mode optomechanical system with the Kerr medium. The optomechanical system is composed of an array of three single-mode cavities and a mechanical oscillator. The three cavities are a passive cavity, a no-loss-gain cavity and a gain optical cavity, respectively. A Kerr medium is inserted in the passive cavity. We study the influence of the Kerr medium on the stability of the optomechanical system, and find that the stable regime of the optomechanical system can be adjusted by changing the Kerr coefficient. We demonstrate that the phenomenon of optomechanically induced transparency will appear when the Kerr medium exists in the optomechanical system and find that the frequency position of the absorption peak on the left increases linearly with the Kerr coefficient. In addition, we also investigate the fast and slow light effects in this system. The results show that we can control the fast and slow light by adjusting the Kerr coefficient, tunneling strength, and driving field strength. This study has potential application prospects in the fields of quantum optical devices and quantum information processing.

Highlights

Cavity optomechanical systems, which explore the interaction between the optical cavity and mechanical mode, have received extensive attention in many rapidly developing fields [1], such as the cooling of mechanic modes to ground-state [2,3,4,5], quantum entanglement [6,7], photon blockade [8,9,10,11,12,13,14,15], mass sensing [16,17,18], parity-time (PT) symmetry [19,20,21,22,23,24], optical field control [25,26,27,28,29], etc
The physical mechanism of optomechanically induced transparency (OMIT) is similar to electromagnetically induced transparency (EIT), which is essentially caused by the interference between the anti-Stokes scattering field and the probe field
We can focus on the advantages of different quantum systems in the same hybrid cavity optomechanical system by the interaction of a mechanical resonator and an optical cavity

Summary

Introduction

Cavity optomechanical systems, which explore the interaction between the optical cavity and mechanical mode, have received extensive attention in many rapidly developing fields [1], such as the cooling of mechanic modes to ground-state [2,3,4,5], quantum entanglement [6,7], photon blockade [8,9,10,11,12,13,14,15], mass sensing [16,17,18], parity-time (PT) symmetry [19,20,21,22,23,24], optical field control [25,26,27,28,29], etc. Wewindow can change the tunneling between adjacent cavities a transparent usually has rapid strength phase dispersion This means that 1 andfield we can connect the multiple-OMIT phenomenon with the slow and fast light effect of the by adjusting the distance between them. We consider the hybrid cavity optomechanical system consisting of the optical trimer system containing a Kerr medium and a mechanical oscillator. The total Hamiltonian of the hybrid cavity optomechanical system in the rotating frame at the frequency ωd can be written as the following form: H. where ∆ci = ωci − ωd (i = 0, 1, 2) are the detunings of the three cavity modes from the driving field; δ = ω p − ωd is the detuning between the probe field and the pump field;. The last two terms of Equation (1) represent the interaction between the passive cavity and two input fields, i.e., strong pump field and weak probe field

Quantum Dynamics and Fluctuations

The Multi-Transparency Windows of the Output Field for the Hybrid

Slow–Fast Light Effect of the Output Field

Conclusions