Studying The Transmission Of A Single Photon In A 2D Coupled Cavity Arrays

With the rapid development of quantum information in recent years,many quantum optics devices are produced in the single-photon level,especially in the development of the single-photon quantum router.Many researchers both in theory and experiment have been put forward to study the realization of quantum routers,because they are the cores elements of quantum network.The coupled cavity arrays are composed of a set of low-loss cavities,with photon tunneling occurring between two nearest neighbor cavities,and its nonlinear dispersion relation causes new physical phenomena.Coupled cavity arrays have become a significant simulation platform in quantum optics for investigating the interaction of light and matter.Therefore,our researches on single-photon scattering transport properties are mainly based on coupled cavity arrays.This thesis will be developed from two different theoretical models.The first theoretical model is to study the transport properties of the single-photon in T-shaped coupled cavity arrays with modulating two emitters,the reflectivity,transmission and transfer rate of the single photon are solved analytically,and the position and the coupling strength of the second atom for single photon scattering has been explored.The results show that the single-photon transfer rate changes significantly with the position of the second atom,and the single photon transfer rate can reach maximum 1 when the atom is in a certain position,which breaks the limitations of previous routers.The influence of the coupling strength between the second atom and the cavity field on the single photon reflection increases with the coupling intensity increasing.As for the transfer rate,the effect of the coupling strength on the single photon transfer rate depends on the atomic position.The second theoretical model is to study the transmission properties of the singlephoton in an X-shaped coupled cavity array under the influence of the dissipation.Using the quasi-boson method,its essence is to eliminate the coordinates of the environment and redescribe the system with effective Hamiltonian,which is used to study the impact of the environment on the considered system.When there is a weak coupling between the environment and the cavity,we can regard the effects of the environment on the system as a constant,the advantages of this method can help us simplify the calculations.Analyzing the expressions of reflection,transmission and transfer rate of the single-photon,we investigate the effect of dissipation on the single-photon coherent control.The results show that when the incident energy of a single photon is in resonance with the transition energy of the?-type three-level atom,the cavity dissipation can significantly reduce the total transfer rate and increase the probability of the single photon found in CCA-A.At large detuning,the single photon can be completely confined to the incident channel where the weak dissipation of cavity almost has no obvious influence on the perfect transmission of the single-photon.Additionally,the coupling strength will affect the working performance of single-photon quantum routers.