Photon Blockade In A Driven Dispersive Jaynes-Cummings System

The generation of single photon is one of the important research topics in quantum optics.Single photon source has a great significance in quantum communication and quantum cryptography.Photon blockade effect provides one of the physical mechanisms for generation of single photons.It can create nonclassical light from a classical light,and the cavity field can exhibit antibunching statistics.There are two kinds of photon blockade: conventional photon blockade and unconventional photon blockade.The anharmonicity in the energy spectrum is the key element to induce the conventional photon blockade effect,while the unconventional photon blockade is induced by the quantum interference effect between different transition paths.In this thesis,we construct a transverse driven dispersive Jaynes-Cummings(J-C)model,and study the photon blockade effect in this system.The system under consideration is composed of a two-level atom and a single-mode cavity field.In the large detuning regime,the system can be described by the dispersive JC model.At the same time,we introduce a transversal driving to the atom.We find that in the large detuning case,there is no photon blockade effect in the absence of the transverse atomic driving in the system.Under appropriate drivings,the photon blockade effect will appear in the system.In this model,we consider the weak cavity driving,so the system can be restricted into the few-photon subspaces.Specifically,a quantum master equation is adopted to describe the model and the equation is solved by the numerical method,then the second-order correlation function can be calculated in steady state.The influence of atomic driving strength and other parameters on the photon blockade effect is analyzed.Our studies will enrich the research results of photon blockade effect in the dispersivelycoupled atom-cavity-field system,and presents a new theoretic proposal for experimental observation of photon blockade effect.The content of this thesis is organized as follows:In the first chapter,we introduce the research background,the significance and the main contents about the photon blockade effect.In the second chapter,we introduce some elementary knowledge,including two kinds of photon blockade,second-order correlation function,the dispersive J-C model,and study the photon blockade effect in the two systems.In the third chapter,we solve the probability amplitude equation to obtain the steady-state second-order correlation function in J-C model,we also solve the master equation to analyze the photon blockade effect in the Kerr nonlinear cavity.In the fourth chapter,we study the photon blockade effect in the driven dispersive J-C model,and analyze the influence of the system parameters on the photon blockade effect.In the fifth chapter,we summarize the thesis and present the prospect of the photon blockade effect.