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Iranian Journal of Physics Research

Comparison of optical bistability in two different hybrid optomechanical systems: Impact of quantum dot molecules

Daneshfar, Nader, Foroughi, Hamidreza

Published Sep 1, 2024• 0 citations
Publisher

Abstract

In this paper, optical bistability in hybrid optomechanical systems consisting of two cavities (optomechanical and conventional) coupled to each other, which contain quantum dot molecules (QDMs), is investigated and compared. For this purpose, two different configurations are studied: in the first configuration, the quantum dot molecules (QDMs) are inside the optomechanical cavity, and in the second configuration, the quantum dot molecules are inside the conventional cavity. To calculate the dynamics of the system operators, the Heisenberg-Langevin approach is used under the mean field approximation. To achieve the phenomenon of optical bistability, which is used in optical switches and optical memories, the dynamic equations of the system are solved in a steady state. The effect of the system's physical parameters, including the detuning, the number of quantum dot molecules, and the tunneling intensity of the external field, on the phenomenon of optical bistability is studied. In addition, the switching threshold and the width of the optical bistability region in two different configurations are compared. Considering that the phenomenon of optical bistability can have potential applications in all-optical switches, optical transistors, quantum computing, and quantum communication, the obtained results can be useful for the mentioned applications and system optimization.

DOI
10.47176/ijpr.24.2.11833

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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 .
Abstract Objective: This paper theoretically studies a hybrid optomechanical system embedded with two coupled quantum dots (CQDs) and a third-order Kerr nonlinear medium inside the cavity. The optical bistability and absorption spectrum are analyzed for the proposed system. Methods: From the Hamiltonian which describes the proposed system, a set of quantum Langevin equations are derived. Using these equations of motion, the steady-state mean field analysis is done which gives the phenomena of optical bistability. The performance of the optical switch is also analyzed in terms of gain and switching ratio. Further, the absorption spectrum of the system is derived and analyzed from the fluctuation dynamics. Results: The optical bistability has the potential to design tunable all-optical switches. The absorption spectra display peculiar characteristics of negative absorption (transparency dip). The transparency dips are found to be strongly dependent on the frequency of the mechanical resonator. The results of our investigation reveal that the proposed system can be used as an optical switch and has numerous other applications in quantum communication systems.
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.
Optical bistability in a hybrid system consisting of cavity optomechanical and a four-level inverted Y-type atom is investigated numerically. Steady state solution of Heisenberg-Langevin equation is derived. When the configuration condition of the system in electromagnetically induced transparency( EIT) is satisfied and is not satisfied,the thresholds of optical bistability are studied respectively. When EIT condition is not satisfied,the up-threshold of bistability is adjustable while the down-threshold remains the same one. On the contrary,when EIT condition is satisfied,the up-threshold of bistability remains the same one while the down-threshold is adjustable. When the atom system is under the condition of EIT configuration,bistability can be achieved more easily than which is not under the condition of EIT configuration. Furthermore,after the system reaches the up-threshold,no matter the condition of EIT configuration is satisfied or not,the curve of bistability becomes a linear with the intensity of driving field.
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.
In this paper, the phenomenon of the optical bistability of a cavity field is theoretically investigated in an optomechanical system containing an N-type atomic ensemble. In this hybrid optomechanical system, the atoms are coupled with two controlling light fields besides coupling with the cavity field. Under the nonresonant condition, we analyze the influences of the coupling strength between cavity and atoms, Rabi frequencies of the controlling light field, the detuning between the controlling light field and atoms, and pump field power on the optical bistable behavior of mean intracavity photon number. The nonlinear distribution of the mean intracavity photon number has a potential application in field optical switches and optical bistable devices.