Photon Blockade Effects In Several Typical Coupled Quantum Optical Systems

Quantum information science is an emerging discipline formed by the intersection of quantum mechanics and information science.Its main content includes quantum communication,quantum computation,and quantum precision measurement.In recent years,the research of quantum information science has attracted extensive attention,especially various quantum information processing schemes have been proposed.Quantum information processing can be implemented in many physical systems,among which optical systems are one of the important physical platforms for realizing quantum information processing.To realize optical information processing,single photon source is a very important resource.Photon blockade is one of the effective physical mechanisms for preparing single photon sources.According to the different physical mechanisms,the photon blockade effect can be divided into conventional and unconventional photon blockade effects.The physical mechanism of conventional photon blockade is the anharmonicity of the eigenenergy spectrum of the system,the physical mechanism of unconventional photon blockade is the quantum destructive interference between different transition paths of the system.The coupled quantum optical system is an ideal physical platform to realize these two physical mechanisms.Based on this,this thesis studies photon blockade effects in several typical coupled quantum optical systems,including the coupled Kerr cavity system,the two-photon Jaynes-Cummings system,the superconducting circuit optomechanical system,and the loop-coupled optomechanical system.This thesis consists of seven chapters.In Chapter 1,we briefly introduce the cavity quantum electrodynamics system and the cavity optomechanical system.We also briefly introduce the relevant research background of photon blockade effect.In Chapter 2,we introduce the basic theoretical knowledge of conventional photon blockade,unconventional photon blockade,and multiphoton blockade,including the probability amplitude equation method,the quantum master equation method,the correlation function,and the criteria for the characterization of photon blockade effect.In Chapter 3,based on the coupling model of linear optical cavity and Kerr nonlinear optical cavity,we study the influence of quantum interference on photon blockade effect.By analyzing and studying the interference terms of different photon transition paths,the analytical expressions of quantum interference conditions are clearly obtained.We find that there are quantum interference effects in both conventional and unconventional photon blockade effects,and we reveal the physical mechanism by which quantum interference enhances the photon blockade effect.This work has further promoted the theoretical research on photon blockade effect,and is of great significance in exploring quantum interference effect,which is a fundamental problem of quantum mechanics.In Chapter 4,based on the two-photon Jaynes-Cummings model,we study the influence of the multiphoton physical process on the multiphoton blockade effect.We propose a new criterion to characterize the multiphoton blockade effect,and give the physical conditions for the multiphoton blockade effect in this system.We also reveal the physical mechanism of the multiphoton physical process for the multiphoton blockade effect.This work has potential practical value in the research of multiphoton quantum coherent devices.In Chapter 5,based on the superconducting circuit optomechanical system with optomechanical and cross-Kerr interactions,we study the influence of the intrinsic cross-Kerr nonlinearity on photon blockade effect.By calculating the quantum second-order correlation function,we reveal the physical mechanism of the cross-Kerr nonlinearity enhancing photon blockade.We also find that the intrinsic cross-Kerr nonlinearity can modulate the phonon sidebands of the photon blockade effect.This work provides new solutions for the preparation of single-photon sources and entangled light sources,and has important applications in the fields of quantum communication and quantum computation.In Chapter 6,we study photon blockade effect in a loop-coupled optomechanical system composed of two optical modes and one mechanical mode.By calculating the quantum second-order correlation functions,we find a phenomenon of optical normal-mode induced phonon-sideband splitting.We reveal the detection mechanism of the photon transmission spectrum based on the quantum statistics.We also propose the physical method of frequency modulation of single photon source based on the controllable photon tunneling mechanism.This work provides a new detection method for the sideband splitting phenomenon.Chapter 7 is the summary and outlook.