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Chaos Solitons & Fractals

Optical frequency combs and chaos in a hybrid atom–cavity optomagnonical system via the synergy of double-probe fields

Yilou Liu, Rui-Shan Zhao, Kai-Kai Zhang, Ziyu Jia, Ren-Gang Wan, Hui Sun, Wen‐Xing Yang, Xiao-Tao Xie

Published Sep 25, 2024• 8 citations
Publisher

Abstract

We theoretically investigate the modulation of optical frequency combs and chaos by the synergy of double-probe fields in the hybrid atom–cavity optomagnonical system consisting of a yttrium iron garnet sphere, a two-level atom, and a tapered fiber. Our results show that in the case of a single-probe field, the atom-optical mode coupling strength and amplitude strength of the probe field can effectively modify the tooth spacing (from one to one-half tooth spacing) of the optical frequency combs, as well as the entry or withdrawal of chaos. In a chaotic region, the relative phases between the control and probe fields can also be adjusted to withdraw chaotic motion. Moreover, we demonstrate the generation of hybridized fraction-order frequency combs via the synergy of double-probe fields, which is caused by the sum and difference frequency effects of sidebands. Interestingly, it is found that through the synergy of the double-probe fields, the system can enter a chaotic state under lower applied field intensity, which is modulated by the amplitude strengths and relative phases of the dual probe fields. In addition to providing insight into the characteristics of optical frequency combs and chaos in the hybrid atom–cavity optomagnonical system, our research may offer a new perspective for the development of precision measurements and secret information processing. • Provide a scheme for generating optical frequency combs and chaos in a hybrid system. • Manipulate the optical frequency combs by modifying the applied fields’ frequency. • Exhibit that optical frequency combs and chaos can be transformed into each other. • Chaos is sensitive to the parameters, including the applied fields’ relative phase.

DOI
10.1016/j.chaos.2024.115557

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We theoretically investigate the modulation of optical frequency combs and chaos by the synergy of double-probe fields in the hybrid atom–cavity optomagnonical system consisting of a yttrium iron garnet sphere, a two-level atom, and a tapered fiber. Our results show that in the case of a single-probe field, the atom-optical mode coupling strength and amplitude strength of the probe field can effectively modify the tooth spacing (from one to one-half tooth spacing) of the optical frequency combs, as well as the entry or withdrawal of chaos. In a chaotic region, the relative phases between the control and probe fields can also be adjusted to withdraw chaotic motion. Moreover, we demonstrate the generation of hybridized fraction-order frequency combs via the synergy of double-probe fields, which is caused by the sum and difference frequency effects of sidebands. Interestingly, it is found that through the synergy of the double-probe fields, the system can enter a chaotic state under lower applied field intensity, which is modulated by the amplitude strengths and relative phases of the dual probe fields. In addition to providing insight into the characteristics of optical frequency combs and chaos in the hybrid atom–cavity optomagnonical system, our research may offer a new perspective for the development of precision measurements and secret information processing. • Provide a scheme for generating optical frequency combs and chaos in a hybrid system. • Manipulate the optical frequency combs by modifying the applied fields’ frequency. • Exhibit that optical frequency combs and chaos can be transformed into each other. • Chaos is sensitive to the parameters, including the applied fields’ relative phase.
The nonlinearity of magnons plays an important role in the study of an optomagnonical system. Here in this paper, we focus on the high-order sideband and frequency comb generation characteristics in the atom coupled optomagnonical resonator. We find that the atom-cavity coupling strength is related to the nonlinear coefficients, and the efficiency of sidebands generation could be reinforced by tuning the polarization of magnons. Besides, we show that the generation of the sidebands could be suppressed under the large dissipation condition. This study provides a novel way to engineer the low-threshold high-order sidebands in hybrid optical microcavities.
We investigate the enhanced generation of the optical second-order sideband (OSS) via magnon Kerr nonlinearity from a cavity magnonical hybrid system consisting of a single small yttrium iron garnet (YIG) crystal sphere and a three-dimensional (3D) rectangular cavity driven with a weak probe and a strong control field. Beyond the linear approximation, we solve the nonlinear Heisenberg–Langevin equations for achieving the analytical solutions by employing the perturbation technique. Using the experimentally achievable parameter settings, we demonstrate that the OSS generation can be significantly enhanced via increasing the magnon Kerr nonlinearity even if the coupling between the cavity and magnon is weak. Interestingly, two-color OSS generation can be observed when the cavity-magnon coupling is in the strong-coupling regime, which results from the magnonical polaritons induced by the hybrid of cavity and magnon modes. The present results illustrate the potential to utilize magnon Kerr nonlinearity for enhancing optical higher-order sidebands and controlling optical frequency combs, as well as to guide the design of experimental implementation.
It is quite important to enhance and control the optomechanically induced high-order sideband generation to achieve low-power optical comb and high-sensitivity sensing with an integrable structure. Here we present and analyze a proposal for enhancement and manipulation of optical nonlinearity and high-order sideband generation in a hybrid atom-cavity optomechanical system that is coherently driven by a bichromatic input field consisting of a control field and a probe field and that works beyond the perturbative regime. Our numerical analysis with experimentally achievable parameters confirms that robust high-order sideband generation and typical spectral structures with nonperturbative features can be created even under weak driven fields. The dependence of the high-order sideband generation on the atomic parameters are also discussed in detail, including the decay rate of the atoms and the coupling parameter between the atoms and the cavity field. We show that the cutoff order as well as the amplitude of the higher-order sidebands can be well tuned by the atomic coupling strength and the atomic decay rate. The proposed mechanism of enhancing optical nonlinearity is quite general and can be adopted to optomechanical systems with different types of cavity.
Cavity optomechanics, as a cross-discipline between nanophotonics and quantum mechanics, provides a unique platform for investigating optomechanical coupling between photons in microcavities and phonons from mechanical modes. It has a wide range of potential applications in quantum physics, and now it has become a hot topic. A theoretical scheme to enhance the sum sideband generation (SSG) via a two-level atom ensemble is proposed. The effect of the atomic ensemble’s detuning frequency on the efficiency of the SSG is considered by introducing a two-level atom medium. The results indicate that the efficiency of the generating sideband can be significantly enhanced under either red or blue detuning of the atoms, with greater dependence and more pronounced enhancement under the red detuning. In addition, we also consider the effect of pump power, which can effectively enhance the intensity of the output signal by selecting the appropriate pump power. More interestingly, the sensitivity of SSG to atomic detuning also indicates that the precise control of the atomic detuning frequency can achieve the fine-tuning of the SSG process. Furthermore, the cavity-atom coupling strength and atom decay rate are discussed for the transmission characteristics of the sum sideband signals. It is found that the efficiency of SSG can be effectively adjusted by the cavity-atom coupling strength and atom decay rate. The results show that the efficiency of SSG can be significantly improved by optimizing system parameters. The method of enhancing SSG may have potential application prospects in measuring high-precision weak forces and on-chip manipulation of light propagation.
Based on a single atom coupled to a fiber-coupled, chip-based microresonator [B. Dayan et al., Science 319, 1062 (2008)], we put forward a scheme to generate optical frequency combs at driving laser powers as low as a few nanowatts. Using state-of-the-art experimental parameters, we investigate in detail the influences of different atomic positions and taper-resonator coupling regimes on optical-frequency-comb generation. In addition to numerical simulations demonstrating this effect, a physical explanation of the underlying mechanism is presented. We find that the combination of the atom and the resonator can induce a large third-order nonlinearity which is significantly stronger than Kerr nonlinearity in Kerr frequency combs. Such enhanced nonlinearity can be used to generate optical frequency combs if driven with two continuous-wave control and probe lasers and significantly reduce the threshold of nonlinear optical processes. The comb spacing can be well tuned by changing the frequency beating between the driving control and probe lasers. The proposed method is versatile and can be adopted to different types of resonators, such as microdisks, microspheres, microtoroids or microrings.
Optical-frequency combs consisting of equally spaced sharp lines in frequency space have triggered substantial advances in optical-frequency metrology and precision measurements and in applications such as laser-based gas sensing and molecular fingerprinting. Here, we propose a scheme to generate a type of optical-frequency combs and convert them from one cavity to the other in a hybrid optical system composed of a pair of coupled photonic crystal cavities called a photonic molecule (PM) and a single semiconductor quantum dot (QD) embedded in one cavity of the molecule. Optical-frequency combs are formed by the interaction between a cavity mode and a continuous-wave (CW) two-tone driving laser consisting of a pump field and a seed field via QD-induced strong nonlinearity. In this situation, the initial input pump and seed CW lasers can interact among each other and produce optical higher-order sidebands with equal spacing via parametric frequency conversion provided by QD-induced nonlinear optical effects. Using numerical simulations, it is clearly shown that the beat frequency of the two-tone components plays an important role in determining the comb spacing and matched frequency combs can be formed in the PM. We also demonstrate that the present interacting QD-PM system can serve as a platform to generate large-scale quantum entanglement between two comb modes. The results obtained here may be useful for real experiments in a photonic crystal platform.