Research Of Transport Characteristics Of The Optical Cavity And Mesoscopic Circuit Coupled

Electron transport and related properties of quantum dots system- single quantum dot, double quantum dots, quantum dot chain or quantum dot ring- has been very much studied, the study of optical cavity interacting with single-particle is relatively mature, however, the study of the hybrid system containing optical cavity, quantum dot and metal electrode and others is still small, It is now in the field of research. In the rapid development of quantum electrodynamics circuit, we consider a driven double quantum dots coupling with optical cavity environment mixing system, derivation and theoretical study with the master equation approach, the paper will show the entire derive process and results analysis in detail. In addition, we also studied the quantum dot coupling with topological superconducting majorana bound states and the electrode mixed system, proposing shot noise as a measure of the lifetime and energy splitting of majorana bound states, this article will show our model and findings in detail. Following is the content of this paper.In the first chapter, we introduces the basics related to the content of our research and related properties, including mesoscopic physics basics, transport and basic properties of quantum dots, the optical cavity physics knowledge, finally, experiments and theory progress of mixed system about mesoscopic circuit with optical cavity are briefly discussed. It is the recent developments progress of circuit quantum electrodynamics.In the second chapter, the master equation research methods is introduced, starting from the liouville equation, in case a mix system about a single quantum dot coupling to electrodes, that is single quantum dot transport, to demonstrate specifically master equation derivation process, at last, we obtaining the reduced density matrix elements of the system.In the third chapter, describing the transport of two-level quantum dot optical cavity mixed system, we use the quantum light field as a driving field, study the transport properties of two-level quantum dots mixed system coupled to the optical cavity, this chapter start with the basic background knowledge, our model, system derivation, results and the analysis of the current and noise are all described in detail.In the fourth chapter, we introduce our study of a hybrid system about a quantum dot coupling to majorana bound states of topological superconductivity and electrode, proposing a scheme to measure the lifetime and energy splitting of a pair of majorana bound states by using the shot noise. The background knowledge, our model, and the results were analyzed in detail.In the fifth chapter, a brief summary of this thesis, the develop of the study of mesoscopic transport and optical cavity mixed system were discussed.