Photon Blocking Effect Of Anisotropic Rabi Model And Preparation Of Two-mode Entangled States

The interaction between light and matter is an important subject in quantum optics,quantum electrodynamics and other research fields.The emergence of nonlinear optical phenomena makes the study of the interaction between light and matter more interesting.From the above perspective,this article focuses on the Rabi model describing the interaction between light and matter,and expands it from the standard mode to the general mode,so as to develop the study of the photon blocking effect and the preparation of entangled states.In the first part of this paper,we focused on the photon blocking effect of the anisotropic Rabi model with bias terms.Unlike the standard Rabi model,this generalized Rabi model has a bias term and allows the rotating terms and counter-rotating terms in the interaction terms to correspond to different coupling constants.This article is a detailed discussion based on the above model.Studies have shown that there is a photon blocking effect in the anisotropic Rabi model,and the bias term and anisotropic parameters have different effects on the photon blocking effect of the system.Among them,the existence of the bias term destroys the symmetry of the system and can cause different photon blocking effects than the standard Rabi model.When we choose different bias parameters,the results also change;and the anisotropic parameters existence does not cause the symmetry of the system to change,it can only change the energy levels of the system,and has weak impact on the photon statistical behavior.In the second part of this manuscript,we still continue the study of nonlinear optical phenomena and theoretically study a simple method for preparing entangled states.Utilizing when an artificial two-level atom is ultra-strong coupled to a cavity,these two systems can realize the photon exchange mechanism by coherent Rabi oscillation.Here we use a model of ultra-strong coupling of an atom and two cavities.Two systems can exchange photons in two detuned cavities by making atomic transitions.By adjusting the atomic transition frequency,this exchange can be precisely controlled.Through the generation and annihilation of virtual photons and adiabatic approximation techniques,the effective coupling between the two states of the system is obtained,and the effective Hamiltonian is obtained by numerical analysis.Considering the recent experimental progress in the super coupling of circuit QED and other systems,we believe that our scheme can be implemented using existing technologies and applied to a wider range of research.