Third-order Optical Nonlinearity And Its Regulation In Solid-state Optical Cavity Quantum Systems

According to the Cavity Quantum Electrodynamics,we know that the light field distribution can be changed and the interaction between matter and light field can be controlled by using the small resonator structure formed in the medium similar to the optical wave size.Kerr nonlinear effect has great application prospect in quantum information processing and optical switch.The optical Kerr effect belongs to the third order nonlinear effect,and generally the Kerr nonlinear coefficient is very small.Our work has studied the Kerr nonlinear optical effect in the cavity quantum system.The Kerr nonlinear coefficient can be enhanced and regulated,which is necessary to increase the information bandwidth and reduce the power loss in the information processor.Kerr nonlinear effect has very important application value in many fields,such as optical phase modulation and refractive index modulation.These modulations can be used in some promising technologies,such as optical communication,optical storage,optical computing and information processing.This paper mainly studies the third-order optical nonlinearity in the solid-state optical cavity quantum system,and more specifically studies the enhancement and regulation of Kerr nonlinearity.The main contents is as follows:(1)Taking the J-C model as an example,we introduce the full quantum theory of the interaction between light and atom,then obtain the Hamiltonian of the system under the Schrodinger representation and the interaction representation and give the solution method of Heisenberg Langevan equation of motion.(2)In a photonic crystal defect cavity,a hybrid system consisting of semiconductor quantum dots and metal nanoparticles interacts with the probe light.The Kerr nonlinear coefficient of the probe light increases due to the surface plasma action of the metal nanoparticles.First and third order absorption is very small.Under the condition of weak coupling,we can adjust the Kerr nonlinear coefficient by changing the relevant parameters.(3)Under the weak-excitation approximation,we have derived the analytic formulas used to determine the coefficient of the nonlinear transmission by employing the perturbation technique.In addition,we have provided a detailed mean-field analysis of the linear transmission and third-order optical nonlinear effects versus the system parameters.Compared with a single loss cavity,the linear transmission in the present QD gain cavity system exhibits a strong amplifying transmission peak of the weak-probe input field.Furthermore,it has been shown that large enhanced Kerr nonlinearities accompanied by high linear transmission and negligible nonlinear absorption can be obtained efficiently even in the case of weak coupling between QD and gain cavity.