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Frontiers in Scientific Research and Technology

Optical bistabilities in cavity optomechanics

Yasser Amoun Sharaby, Ibrahim Mohamed Kandil, Shoukry S. Hassan, amna Mohamed

Published Aug 26, 2024• 2 citations
Publisher

Abstract

In this review, we will focus on optical bistability and the condition for its occurrence in cavity optomechanics. We study different optomechanical systems (basic optomechanical systems and hybrid optomechanical systems). we derived an equation that could predict the behavior of the system either bistable, transistor or monostable for each system considered depending on the value of its parameters. This equation is derived using analytical study for functional relation between the incident intensity field as a function of the optical cavity field intensity. Investigating the relation between any physical measurable quantity in the optomechanical system against the incident field intensity and its dependency on fundamental optical cavity field against the incident field intensity. Finally, studying the effects of integrating two types of atomic media into the optomechanical system, and tunability it could provide to the optomechanical system, each medium is separately studied. The atomic medium also tends to squeeze the domain of the bistability within the system relative to the basic optomechanical system

DOI
10.21608/fsrt.2024.311622.1134

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•Mar 29, 2015•0 citations
In this review, we will focus on optical bistability and the condition for its occurrence in cavity optomechanics. We study different optomechanical systems (basic optomechanical systems and hybrid optomechanical systems). we derived an equation that could predict the behavior of the system either bistable, transistor or monostable for each system considered depending on the value of its parameters. This equation is derived using analytical study for functional relation between the incident intensity field as a function of the optical cavity field intensity. Investigating the relation between any physical measurable quantity in the optomechanical system against the incident field intensity and its dependency on fundamental optical cavity field against the incident field intensity. Finally, studying the effects of integrating two types of atomic media into the optomechanical system, and tunability it could provide to the optomechanical system, each medium is separately studied. The atomic medium also tends to squeeze the domain of the bistability within the system relative to the basic optomechanical 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 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, 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.
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.
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.
We investigate theoretically the effect of optical feedback from a cavity containing an ultracold two level atomic ensemble, on the bistable behavior shown by mean intracavity optical field in an optomechanical cavity resonator. It turns out that the optical bistability can be controlled by tuning the frequency and power of the single driving laser as well as by varying different system parameters provided by the hybrid interaction. Significantly, even though the atomic cavity is not driven by any laser pump and there is no coupling with the mechanical oscillator directly, the intracavity optical field in the atomic cavity also exhibits bistability due to the optical coupling with the optomechanical cavity. In essence, our work emphasizes the possibility of realization of a better controllable optical switch depending on the hybrid interaction.