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Physical Review A

Magnetic-field-engineered optical nonlinearity and optical high-order sideband

Jiahua Li, Chunling Ding, Ying Wu

Published Dec 10, 2021• 5 citations
Publisher

Abstract

Achieving strong optical nonlinearity in a low excitation power level is crucial in micro- and nanophotonics, central to many applications. Here, we explore optical linear and nonlinear responses in a single quantum dot (QD) embedded into a single-mode cavity under the effect of an external magnetic field and a continuous-wave laser excitation in the weak-coupling regime. Using experimentally realistic parameters, we find that the magnetic field introduced in such a coupled cavity-QD system can drastically modify the properties of photons and thus can be employed as a flexible control parameter. Especially, the enhanced optical Kerr nonlinearity can be achieved by tuning the applied magnetic field appropriately, which can reach over 11-fold improvement as compared to the case without the magnetic field. Physically, this is the consequence of the magnetic-field-induced resonance shifts and the cavity-field-mediated interferences. As an example of its applications, in the basis of this attainable strong Kerr nonlinearity, we show a feasible way of generating an optical high-order sideband efficiently, with small sideband spacing, as small as a few tens of megahertz, and low input excitation power, as low as a few nanowatts. Moreover, the manipulation of the high-order sideband is also discussed by changing the magnetic field from 0 to 3 T, where the variation of the sideband power is in good agreement with that of the Kerr nonlinearity. Considering realistic experimental conditions we elaborate the possible implementation of our proposal. In addition to being of fundamental interest, the results of our paper hold potential in optical frequency combs, nonlinear optics, and high precision measurement.

DOI
10.1103/physreva.104.063506

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Achieving strong optical nonlinearity in a low excitation power level is crucial in micro- and nanophotonics, central to many applications. Here, we explore optical linear and nonlinear responses in a single quantum dot (QD) embedded into a single-mode cavity under the effect of an external magnetic field and a continuous-wave laser excitation in the weak-coupling regime. Using experimentally realistic parameters, we find that the magnetic field introduced in such a coupled cavity-QD system can drastically modify the properties of photons and thus can be employed as a flexible control parameter. Especially, the enhanced optical Kerr nonlinearity can be achieved by tuning the applied magnetic field appropriately, which can reach over 11-fold improvement as compared to the case without the magnetic field. Physically, this is the consequence of the magnetic-field-induced resonance shifts and the cavity-field-mediated interferences. As an example of its applications, in the basis of this attainable strong Kerr nonlinearity, we show a feasible way of generating an optical high-order sideband efficiently, with small sideband spacing, as small as a few tens of megahertz, and low input excitation power, as low as a few nanowatts. Moreover, the manipulation of the high-order sideband is also discussed by changing the magnetic field from 0 to 3 T, where the variation of the sideband power is in good agreement with that of the Kerr nonlinearity. Considering realistic experimental conditions we elaborate the possible implementation of our proposal. In addition to being of fundamental interest, the results of our paper hold potential in optical frequency combs, nonlinear optics, and high precision measurement.
Abstract We propose and analyze an effective scheme to enhance Kerr nonlinearity with a single quantum dot (QD) coupled to a gain cavity. Under the weak-excitation approximation, we derive the analytic formulas used to determine the coefficient of the nonlinear transmission by employing the perturbation technique. Using experimentally achievable parameters, we identify the conditions under which a QD gain cavity coupled system allows us to modify the linear transmission of the input probe field and enhance the Kerr nonlinearity beyond what is achievable in a QD loss cavity system. It is found that enhanced optical Kerr nonlinearity with high linear transmission rate and suppressed nonlinear absorption can be achievable even in the case of weak coupling between QD and gain cavity. The present results illustrate the potential to utilize gain cavity for enhancing optical Kerr nonlinearities and controlling the transmission of light, as well as guide the design of optical devices.
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.
Optical microresonators can greatly enhance light-matter interactions and reduce the power necessary to observe nonlinear optical effects. Manipulation and application of atom-resonator-coupling-induced strong nonlinearity have received much attention in recent years. Here, we present a scheme to realize quantum-squeezing-engineered third-order Kerr nonlinearity and optical high-order sideband comb in a composite system consisting of a two-level atom and two directly coupled whispering-gallery-mode optical microresonators. By quantum squeezing one of two coupled resonator modes in this system, the effective resonator-resonator and atom-resonator coupling rates as well as the frequency of the squeezed resonator mode can be effectively controlled. Based on this mechanism, we show that the Kerr nonlinearity of the composite system can be effectively engineered by using the resonator-mode squeezing when the system is monochromatically driven beyond the weak-excitation limit. On the other hand, when the composite system is bichromatically driven, the optical high-order sideband combs formed in the transmission spectra of the system can also be effectively engineered by the resonator-mode squeezing. Therefore, our scheme provides a novel mechanism to control the physical properties of composite resonator-atom systems for various applications, and demonstrates that optical nonlinear effects induced by the atom-resonator coupling can be effectively engineered via quantum squeezing.
We propose a scheme for high-order sideband generation (HSG) by utilizing strong coupling between a single quantum dot (QD) and a photonic crystal cavity beyond the weak-excitation approximation. Here the hybrid system is coherently driven by an external bichromatic field consisting of a continuous-wave (cw) control field and a cw probe field. We take account of nonlinear terms in the Heisenberg-Langevin equations, i.e., the nonlinear nature of the QD, and give an effective method to deal with such a problem. It is shown, due to the presence of nonlinear terms, that the HSG with large intensities can be realized with experimentally achievable system parameters. This investigation may provide further insight into the understanding of solid-state cavity quantum electrodynamics system and find applications in optical comb and communication in a photonic crystal platform. In addition, the present theory can also be applied to other similar systems, such as a single quantum emitter positioned close to a microtoroidal resonator with the whispering-gallery-mode fields propagating inside the resonator.
In the past few years, the emerging photon-magnon dissipative coupling offers us an effective way to design and exploit losses to fulfill quantum tasks in hybrid cavity magnonics systems. In this paper, we theoretically investigate the dissipative-coupling-induced transparency (DCIT) and the enhancement of the high-order sidebands in a dissipative photon-magnon coupling system with Kerr nonlinearity. We find that the DCIT can be observed with both a weak and strong driving field. Due to the existence of the Kerr nonlinearity and introduction of the strong driving field of magnon, the sidebands can be enhanced highly by choosing the optimized parameters. In order to find the optimized parameters to enhance sidebands, we utilize the eigenvalues of the effective Hamiltonian to find the critical point of the stability region, near which sidebands can be enhanced in maximal degree.