Optomechanically induced transparency, amplification, and fast–slow light transitions in an optomechanical system with multiple mechanical driving phases
Yingjian Zhu, Cheng‐Hua Bai, Tie Wang, Dongyang Wang, Shou Zhang, Hong‐Fu Wang
We investigate the change in width of transparency windows and the amplification of the probe output spectra in an optomechanical system with multiple mechanical resonators. Each mechanical resonator is driven by a mechanical driving field, and the phases of these mechanical driving fields are different. Via exhibiting the probe output spectra of the system, we find that the number of transparency windows is explicitly decided by the number of mechanical resonators with different frequencies. Meanwhile, we discuss the effect of cavity decay rate on the width of the transparency windows. Moreover, we also investigate the absorption and amplification phenomena with the different phase differences among the pump field, probe field, and mechanical driving fields. By adjusting the phase differences, the fast–slow light transitions can occur. These interesting phenomena can also be exploited to investigate the optical switch and frequency comb generation.
We investigate the change in width of transparency windows and the amplification of the probe output spectra in an optomechanical system with multiple mechanical resonators. Each mechanical resonator is driven by a mechanical driving field, and the phases of these mechanical driving fields are different. Via exhibiting the probe output spectra of the system, we find that the number of transparency windows is explicitly decided by the number of mechanical resonators with different frequencies. Meanwhile, we discuss the effect of cavity decay rate on the width of the transparency windows. Moreover, we also investigate the absorption and amplification phenomena with the different phase differences among the pump field, probe field, and mechanical driving fields. By adjusting the phase differences, the fast–slow light transitions can occur. These interesting phenomena can also be exploited to investigate the optical switch and frequency comb generation.
Abstract We investigate the optical-response properties of a coherent-mechanical pumped optomechanical system (OMS) coupled to a Λ-type three-level atomic ensemble. Due to the optomechanical and the cavity-atom couplings, the optomechanically induced transparency (OMIT) and electromagnetically induced transparency (EIT) phenomena could both be observed from our proposal. In the presence of a coherent mechanical pump, we show that the OMIT behavior of the probe field exhibits a phase-dependent effect, leading to the switch from OMIT to optomechanically induced absorption or amplification, while the feature of EIT remains unchanged. The distinctly different effects of the mechanical pump on OMIT and EIT behavior assure us that the absorption (amplification) and transparency of the output probe field can be simultaneously observed. Moreover, a tunable switch from slow to fast light can also be realized by tuning the phase and amplitude of the mechanical pump. In particular, the presence of the atomic ensemble can further adjust the group delay, providing additional flexibility for achieving the tunable switch.
We theoretically investigate the transmission and group delay of a probe field incident on a hybrid optomechanical system, which consists of a mechanical resonator simultaneously coupled to an optical cavity and a two-level system (qubit). The cavity field is driven by a strong red-detuned control field, and a weak coherent mechanical driving field is applied to the mechanical resonator. With the assistance of additional mechanical driving field, it is shown that double optomechanically induced transparency can be switched into absorption due to destructive interference or amplification because of constructive interference, which depends on the phase difference of the applied fields. We study in detail how to control the probe transmission by tuning the parameters of the optical and mechanical driving fields. Furthermore, we find that the group delay of the transmitted probe field can be prolonged by the tuning the amplitude and phase of the mechanical driving field.
We investigate theoretically the optical response of the output field and the tunable slow and fast light in a nonlinear optomechanical cavity with a degenerate optical parametric amplifier (OPA) and a higher order excited atomic ensemble. Studies show that the higher-order-excitation atom which is similar to the degenerate OPA that acts as a nonlinear medium, induces an additional dip in absorption spectrum of the probe field. The coherence of the mechanical oscillator leads to split the peak in absorption in the probe field spectrum so that the phenomenon of optomechanically induced transparency (OMIT) is generated from the output probe field. In particular, the presence of nonlinearities with the degenerate OPA and the higher order excited atoms can affect significantly the width of the transparency windows, providing an additional flexibility for controlling optical properties. Furthermore, in the presence of the degenerate OPA, the optical-response properties for the probe field become phase-sensitive so that a tunable switch from slow to fast light can be realized.
In recent years, due to the rapid development of nano science and advanced semiconductor technology, one is able to observe more significant quantum optomechanical effects as optomechanical system turns smaller in size. Optomechanically induced transparency, fast and slow light, optical storage as well as other quantum optical and nonlinear optical effects have become the focus of research. On the other hand, the optomechanical systems coupled to other small subsystems (such as atoms, quantum dots, single electron transistors, etc.) also attract great attention in research. This is because the coupling system has not only provided more degrees of freedom for quantum manipulation, but also opened up more channels for classical and quantum information transfer. In this paper we study the optomechanically induced transparency and fast/slow light phase control in atom-assisted optomechanical cavity. Unlike the traditional systems, in this model the mechanical resonator is directly driven by a weak auxiliary driving field. We therefore find that with the change of amplitude ratio and phase difference between the auxiliary driving field and the probe field, the absorption and dispersion properties of the whole system and the group delay time vary accordingly. In the absence of auxiliary field, we observe the spectral features of the hybrid electromagnetically induced transparency and optomechanically induced transparency (OMIT) in an atom-cavity-oscillator tripartite optomechanical system. When there exists no phase difference between the auxiliary field and the probe field, we find that the membrane resonance absorption is enhanced with the increase of auxiliary field strength at resonance, causing the the optomechanically induced transparency to be suppressed, and therefore we can modify the amplitude of auxiliary field to control the depth of the OMIT window. When keeping amplitude ratio between the auxiliary field and the probe field unchanged, the modification of the phase difference between the auxiliary field and the probe field directly affects the we can not only realize the manipulation of OMIT window depth, but also control the transformation of tunable optical switch among "absorption", "transparent" and "gain" of the system. Therefore, through changing the phase of auxiliary field and probe field, we can not only realize the manipulation of OMIT window depth, but also control the transformation of tunable optical switch among "absorption" , "transparent" and "gain". In the meantime, we find that the system’s group delay time varies periodically with the change of phase difference. It is worth noting that by adjusting the phase difference and the atomic number, we can not only change the magnitude of the group delay, but also realize the conversion between slow light and fast light effect.
Abstract We investigate the optomechanically induced transparency in a hybrid optomechanical system, which consists of two optical cavities and a mechanical resonator. The two-level and three-level atomic ensembles are trapped in the two optical cavities, respectively. We focus on the changes in the number and width of transparency windows and the position of transparent points under different conditions influenced by various interactions. Five transparency windows can be observed when all the interactions are on. The introduction of two-level and three-level atomic ensembles can increase the number of transparency windows and also provide better flexibility for controlling the width of the transparency windows. Specifically, the two-level and three-level atomic ensembles contribute one and two transparency windows, respectively. The stronger coupling results in the larger transparency windows and movement of the transparent points. Moreover, we also study the slow/fast light phenomenon through the variation of phase and group delay. These results may contribute to the research of nonlinear optics and have potential applications in optical signal processing and communication.
Abstract We investigate the phenomenon of optomechanically induced transparency assisted by a hybrid two-cavity optomechanical system. The system consists of two optical cavities and four mechanical resonators, and each optical cavity is filled with two-level atomic ensembles. Our study demonstrates that the characteristics of optomechanically induced transparency vary with different coupling parameters. Specifically, the number of transparent windows increases with the introduction of atomic ensembles and Coulomb interaction. Furthermore, the positions of the transparent points can be manipulated by the coupling parameters. It is found that increasing the Coulomb coupling between mechanical oscillators shifts the transparent points further apart. Furthermore, we also explore the slow/fast light effect by analyzing the phase and group delay of the probe field. Our approach enables the control of multiple optomechanically induced transparency and provides potential applications in quantum information processing.