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Journal of Modern Optics

Optical bistability and entanglement in two optically coupled cavities under the effect of a nonlinear medium

Surabhi Yadav, Vijay Bhatt, Aranya B. Bhattacherjee, Pradip K. Jha

Published Jun 25, 2023• 1 citation
Publisher

Abstract

We theoretically investigate optical bistability and entanglement in a hybrid nonlinear system of two coupled cavities via a single-mode waveguide. The left cavity contains an ensemble of N quantum dots (QDs) and a Kerr medium to enhance the nonlinearity as it causes to observe the bistable behaviour of the system. We study the Kerr medium, QD ensemble, and cavity coupling effect on bistability response shown by mean intracavity photons in the left cavity. In addition, we have shown entanglement between different subsystems and found that entanglement can be generated between the two coupled cavity photons, cavity photons, and QD ensembles. Additionally, we investigate the effect of different parameters on entanglement. Our findings show that Kerr nonlinearity and the hopping parameter between the two cavities can effectively control the optical properties of the proposed hybrid system, which can be used to design efficient optical devices and the entangled optical photons have applications such as quantum information transfer.

DOI
10.1080/09500340.2024.2333236

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We theoretically investigate optical bistability and entanglement in a hybrid nonlinear system of two coupled cavities via a single-mode waveguide. The left cavity contains an ensemble of N quantum dots (QDs) and a Kerr medium to enhance the nonlinearity as it causes to observe the bistable behaviour of the system. We study the Kerr medium, QD ensemble, and cavity coupling effect on bistability response shown by mean intracavity photons in the left cavity. In addition, we have shown entanglement between different subsystems and found that entanglement can be generated between the two coupled cavity photons, cavity photons, and QD ensembles. Additionally, we investigate the effect of different parameters on entanglement. Our findings show that Kerr nonlinearity and the hopping parameter between the two cavities can effectively control the optical properties of the proposed hybrid system, which can be used to design efficient optical devices and the entangled optical photons have applications such as quantum information transfer.
We investigate a hybrid optomechanical system consisting of two coupled cavities, one of them is composed of two-end fixed mirrors (called the traditional cavity), and the other has a one-end oscillating mirror (named as the optomechanical cavity). A Kerr medium is inside the traditional cavity to enhance the nonlinearity due to the fact that it can cause observing of bistable behavior in intracavity intensity for the optomechanical cavity. The Hamiltonian of the system is written in a rotating frame and its dynamics is described by quantum Langevin equations of motion. Our proposed system exhibits unconventional plots for the mean photon number of the optomechanical cavity which are not observed in previous works. The present results show a deep effect of the Kerr medium on optical bistability of intracavity intensity for the optomechanical cavity. Also, coupling strength of the cavities can effectively change the stability of the system.
We theoretically investigate optical bistability for a hybrid optomechanical system, where two cavities (an optomechanical cavity and a traditional one) are coupled together. A Kerr medium is inserted in the optomechanical cavity and there is an ultra-cold atomic gas inside the other. Dynamics of the system is described by Heisenberg-Langevin equations of motion in the steady-state regime. Bistability is observed in intracavity intensity for the optomechanical cavity, and the response of this phenomenon to optical parameters of the system is investigated. It is observed that the atomic medium has a deep effect on bistable behavior of intracavity intensity for the optomechanical cavity. Also, we determine a critical value for the Kerr coefficient of the Kerr medium to observe bistability in intracavity intensity for the optomechanical cavity.
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.
Abstract We theoretically investigate the optomechanical interaction between an optical field and a mechanical mode mediated by a Kerr nonlinear medium inside an optical cavity and simultaneously driven by an external amplitude-modulated pump field and a probe field. We show that switching between bistability and multistability is influenced by the rocking parameter and Kerr nonlinearity. Further, we study the quantum fluctuation dynamics of the system, which shows the quantum coherence and interference effects resulting in the transmission of the probe field from opacity to amplification. We also find that the rocking parameter, Kerr nonlinearity, and the optomechanical coupling influence the transmission spectrum. In addition, we also show that the rocking parameter significantly enhances the optomechanical coupling, which can be a new handle to control the entanglement between the optical and mechanical modes. The results show that such a hybrid optomechanical system has potential application in designing and optimizing all-optical switching and optical sensors.
Abstract Optical bistability is theoretically analyzed in a hybrid optomechanical system consisting of an optical cavity including a Kerr medium and an optomechanical cavity coupled by direct tunnel coupling. The dynamics of the system is described by Heisenberg–Langevin equations. It is numerically shown that there is a critical value of the Kerr coefficient to observe the bistability of the intracavity intensity for a given coupling rate, and the changing of the Kerr coefficient will lead to the changing of the critical point to observe the bistability as well. In addition, the first critical value to observe bistability becomes larger with the increasing coupling rate between the two cavities. It is also demonstrated that the pump beam required to realize the bistable behavior in the blue sideband regime is significantly smaller than that in the red sideband regime. And the mean intracavity photon number is relatively larger in the red sideband case than that in the blue sideband case. It is remarkable to observe that the mean intracavity photon numbers in both cavities are much lower than that in ordinary situations.
In this study, we theoretically investigate the optical bistability (OB) in hybrid triple-cavity optomechanical systems (OMSs) composed of three coupled cavities (two optical cavities and one optomechanical cavity) in the presence of semiconductor quantum dot molecules and a Kerr medium with a Kerr coefficient of χ when the optomechanical cavity is driven by a pump laser with frequency ωp and the amplitude Ep, which results in optical pressure on the movable mirror of the OMS. The dynamical equations of motion for this triple-cavity hybrid system in the steady state limit are solved using the Heisenberg-Langevin equations to achieve OB. We have demonstrated that it is possible to adjust both the width of the hysteresis loop and the switching threshold by controlling the Kerr coefficient . t is found that by properly tuning the physical parameters, the bistable thresholds of the system can be switched on and switched off, which is useful for designing and optimizing sensitive all-optical switching .