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Physical Review A

Fano resonance and amplification in a quadratically coupled optomechanical system with a Kerr medium

Sumei Huang, Aixi Chen

Published Feb 28, 2020• 24 citations
Publisher

Abstract

We discuss the Fano resonance and amplification in a quadratically coupled optomechanical system with a nonlinear Kerr medium. We find that effective cavity detuning and the strength of the Kerr nonlinearity lead to the appearance of the Fano resonance in the output probe field at room temperature, respectively. We show that the Kerr nonlinearity causes the asymmetric line shape to appear in the intensities of the output Stokes field and the second-order upper sideband generation. We also show that the Kerr nonlinearity can amplify the intensities of the output Stokes field and the second-order upper sideband generation, and the amplification factor is related to the strength of the Kerr nonlinearity. The findings of this study have potential applications in optical switching and frequency conversion.

DOI
10.1103/physreva.101.023841

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We discuss the Fano resonance and amplification in a quadratically coupled optomechanical system with a nonlinear Kerr medium. We find that effective cavity detuning and the strength of the Kerr nonlinearity lead to the appearance of the Fano resonance in the output probe field at room temperature, respectively. We show that the Kerr nonlinearity causes the asymmetric line shape to appear in the intensities of the output Stokes field and the second-order upper sideband generation. We also show that the Kerr nonlinearity can amplify the intensities of the output Stokes field and the second-order upper sideband generation, and the amplification factor is related to the strength of the Kerr nonlinearity. The findings of this study have potential applications in optical switching and frequency conversion.
Abstract Realizing and controlling a Fano resonance is of fundamental significance in physics and may find applications in optical switching and sensitivity-enhanced biochemical sensing. Here we present a practicable scheme to realize Fano resonance and slow light in a quadratically coupled optomechanical system with membranes. It is shown that Fano resonance generation is precisely controlled by changing the frequency detuning between the cavity field and the control field in the quadratically coupled optomechanical system, while additional membrane inside the system can considerably establish a tunable switch between a single Fano resonance and double Fano resonances. In particular, the asymmetric line shape and the number of Fano resonance can be well tuned by the reflectivity of the membranes, the wavelength of the control field and the environment temperature. Furthermore, it is also shown that the slow light effects of the transmitted probe field can be obtained under two-phonon resonance condition and the group delay of the transmitted probe field can be adjusted by the frequency and power of the control field. Our scheme may help to achieve the practical application of Fano resonances relevant to the nonlinear optics.
We theoretically analyse the optical and optomechanical nonlinearity present in a hybrid system consisting of a quantum dot(QD) coupled to an optomechanical cavity in the presence of a nonlinear Kerr medium, and show that this hybrid system can be used as an all optical switch. A high degree of control and tunability via the QD-cavity coupling strength, the Kerr and the optomechanical nonlinearity over the bistable behaviour shown by the mean intracavity optical field and the power transmission of the weak probe field can be achieved.The results obtained in this investigation has the potential to be used for designing efficient all-optical switch and high sensitive sensors for use in Telecom systems.
In this paper, we theoretically analyze optically-induced transparency and absorption properties of a weak probe field in a two-mode coupled micro-cavity system and explore the tunable asymmetric Fano line shape of the transmission rates of the probe field. Both the modes in our system consist of an optical Kerr medium, one of them being passive while the other mode can be either active or passive. The forward transmission and backward reflection profile of the probe field are investigated for both passive–passive and passive–active cavity systems by varying different system parameters such as probe field detuning, photon tunneling strength, gain-to-loss ratio, etc. The results of this study have the potential to be applied in construction of quantum telecommunication and photonic devices.
Abstract In this paper, we investigate the phenomena of electromagnetically induced transparency and the generation of second-order sideband in a Laguerre–Gaussian cavity optorotational system with a Kerr nonlinear medium. Using the perturbation method, we analyze the first- and second-order sideband generations in the output field from the system under the actions of a strong control field and a weak probe field. Numerical simulations show that the Kerr nonlinearity can lead to the occurrence of the asymmetric line shape in the transmission of the probe field. Comparing with traditional scheme for generating the second-order sideband, our spectral shape of the second-order sideband is amplified and becomes asymmetric, which has potential applications in precision measurement, high-sensitivity devices, and frequency conversion.
We discuss theoretically tunable optical amplification in a quadratically coupled optomechanical system in which two different cavity modes have been excited by two strong optical fields with different frequencies. We find that if cavity mode 1 is driven by the strong control field on red detuning, while cavity mode 2 is excited by the other strong control field on blue detuning, then the amplification of the output probe optical field can occur. On the contrary, when two cavity modes are driven by two strong control fields and both are in the red-detuned regime, the dissipation of the output probe field can occur. The characters of the amplification of the output probe field arising from blue detuning of the control field are analyzed. It is shown that the amplification of the output probe field can be adjusted by the strength of the control field under two-phonon resonance condition. In addition, we also find that the reflectivity of the membrane has a significant impact on the probe transmission spectrum. The amplification of the output probe field may have potential applications for quantum communication, optical complex technology, and all-optical networks.
We investigate theoretically an optomechanical system composed of an optical mode and a mechanical mode interacting through first-order coupling and second-order coupling in the presence of a Kerr nonlinear medium. We study how the nonlinearities (second-order optomechanical coupling and Kerr nonlinearity) alter the optical output spectrum, optical quadrature squeezing and optomechanical entanglement. It is shown that the intensity of the output optical spectrum decreases drastically with an increase in second-order optomechanical coupling while it increases significantly with an increase in Kerr nonlinear parameter. More interestingly, by choosing suitable second-order optomechanical coupling and detuning of the optical cavity field, one can achieve strong squeezing of the cavity light field. Further, these nonlinearities play an important role in creating robust optomechanical entanglement between optical and mechanical modes. Hence, the presence of various nonlinearities in the system can be a good platform for achieving the squeezing of light and robust optomechanical entanglement which can be used in realizing better quantum optomechanical devices.