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Laser Physics Letters

Nonlinear dynamic instability of Landau-quantized graphene inside an optical ring cavity

Chunling Ding, Xiangying Hao, Duo Zhang, Jiahua Li

Published Jan 16, 2019• 2 citations
Publisher

Abstract

Abstract Controlling dynamic behaviors, such as instability and chaos, in various systems has been a central matter of nonlinear physics in recent years. Here we employ an effective density-matrix method for the study of laser beam propagation through an optical ring cavity containing Landau-quantized graphene nanostructures. By taking into account the linear and nonlinear phase shifts, we detailedly investigate and characterize the nonlinear dynamic behaviors of the transmission field and the results show that the system exhibits dynamic instability. The start and termination, as well as the periodicity of this dynamic oscillations inside the optical cavity can be manipulated by the experimentally achievable parameters, such as the laser intensity and frequency detuning. Such dynamic responses are attributed to the competition between optical saturation of the incident field and population oscillations induced by the control field in graphene system.

DOI
10.1088/1612-202x/aaf800

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Dynamic instability in the transmission field of an optical ring cavity containing three-level $\ensuremath{\Lambda}$-type rubidium atoms is studied in detail both experimentally and theoretically. The onset and periodicity of such dynamic oscillations in the cavity field can be controlled by the experimental parameters, such as intensity and frequency detuning of the coupling field and∕or cavity field. Such nonlinear dynamic behavior is caused by competition between optical saturation of the cavity field and optical population pumping by the coupling field in the three-level atomic system.
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The solution of input-output curves in an optical ring cavity containing Landau-quantized graphene is theoretically investigated taking the advantage of density-matrix method. It is found that under the action of strong magnetic and infrared laser fields, one can efficiently reduce the threshold of the onset of optical bistability (OB) at resonance condition. At non-resonance condition, we observed that graphene metamaterial can support the possibility to obtain optical multistability (OM), which is more practical in all-optical switching or coding elements. We present an analytical approach to elucidate our simulations. Due to very high infrared optical nonlinearity of graphene stemming from very unique and unusual properties of quantized Landau levels near the Dirac point, such controllability on OB and OM may provide new technological possibilities in solid state quantum information science.
Abstract The optical properties of a weak probe light by applying coupling fields in Landau-quantized graphene nanostructure is investigated. In this structure the electromagnetic field of terahertz-infrared radiations interfere with the electromagnetic field of the short-wavelength probe field and this effect changes the absorption and dispersion characteristics of the probe field. The linear dynamical properties of the graphene by means of perturbation theory and density matrix method are discussed. We show that the group velocity of a light pulse can be switched from superluminal to subluminal or vice versa by controlling the coupling field’s intensities and relative phase of the applied fields. Therefore, this model can be used as an all-optical switch which is suitable for next generation of future all optical quantum communicational system and networks.