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Journal of Natural Science of Heilongjiang University

Study on optical bistability in an atom optomechanical cavity hybrid system

GE Ya

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

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.

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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.
Optical bistability in a four-level inverted Y-type atom system inside an optical ring cavity is investigated numerically. Atomic density matrix equations are derived by the density matrix theory. The effect of the Spontaneously Generated Coherence( SGC) on threshold of the optical bistability is studied.When the probing field and controlling field are in two-photon resonance,the atoms are trapped on the two lower states,probing field is transparent and there is no bistability in the system. But when the probing field and coupling field or coupling field and controlling field are in two-photon resonance,there is the optical bistability in the system. Under condition of the stable state,SGC can make the interference destructive from two transition channels. Population distribution on the higher levels is enhanced,transparency window becomes narrow,and the threshold of the bistability becomes large.
We present a comparative study of optical bistability (OB) in three-level atomic configurations, including $\Lambda $-, cascade-, and V- types under the conditions of electromagnetically induced transparency (EIT). In the steady regime, the input-output intensity relations for the OB in each configuration have been derived in analytical form. The model allows one to construct a clear picture on how the threshold intensity, and other characteristics of the OB are continuously modified with respects to controllable parameters of the laser fields, cooperation parameter, and other physical parameters of atomic system. The results showed that the threshold intensity of OB in Λ\Lambda Λ-type system is much less than the other ones and the threshold intensity of OB in V-type system is the largest one. The analytical result is convenient to choose excitation configuration for experimental observations and related applications in photonic devices.
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 .
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.
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 study the optical bistability and dynamics in a hybrid optomechanical system, where the cavity mode is coupled to the mechanical resonator via radiation pressure and to a two-level atom via the Jaynes–Cummings coupling. The nonlinearity due to optomechanical coupling and the addition of an atom leads to bistable behaviors of the steady-state intracavity photon number and atomic population inversion. We show that the optical bistability can be effectively controlled by the Rabi frequency of the atomic driving field, the cavity–atom coupling strength, and the amplitude and frequency of the cavity pump field. Moreover, the effects of different initial conditions of the cavity field and the amplitude of the cavity pump field on the dynamics of the system also have been discussed.