Cavity-spin-orbit competition in quantum dot systems under a magnetic field
This extended work has the following three main objectives: to review the background of one or two interacting electrons in quantum dot with and without SOC, and systems inside a QED cavity; analyze our complete quantum system that combines SOC and cavity interactions; and to study many body systems...
| Autor: | |
|---|---|
| Tipo de recurso: | tesis de maestría |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2023 |
| País: | Colombia |
| Institución: | Universidad de los Andes |
| Repositorio: | Séneca: repositorio Uniandes |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uniandes.edu.co:1992/64136 |
| Acceso en línea: | http://hdl.handle.net/1992/64136 |
| Access Level: | acceso abierto |
| Palabra clave: | Quantum dot Spin-orbit coupling Quantum electrodynamics Spin field Ultra-strong coupling Cavity Ground state Física |
| Sumario: | This extended work has the following three main objectives: to review the background of one or two interacting electrons in quantum dot with and without SOC, and systems inside a QED cavity; analyze our complete quantum system that combines SOC and cavity interactions; and to study many body systems and further extensions of our problem are explained. According to this division, we suggest to the reader to review the most interesting part of this paper on radiation-matter interaction. The first aim is discussed in the three sections described below. In Section 1 we will describe the experimental and theoretical background of single-electron and two-interacting electrons in QDs, where we will make special emphasis on the interaction between particles and the effects of the magnetic field. Then, in Section 2 we will extend the Hamiltonian analysis to consider spin-orbit interactions, where we will recover the effects on electron densities and spin fields already published [45, 46]. On the other hand, in Section 3 we will delve into the study of systems in cavities at different regimes, in particular we will explain nonperturbative strategies for the study of radiation-matter interactions. Thanks to previous studies, we will develop the second objective in Sections 4 and 5. Respectively, the consequences of including one-electron and two interacting in electron QD in QED cavities and subjected to a magnetic field are exposed. In particular, changes in quantities such as angular momenta and photon numbers as well as in densities and socalled spin textures, due to the presence of the cavity, will be reviewed in detail. Finally, in the third part, a theoretical account of extended systems in cavities was performed in Section 6, where the application of tight-binding models stands out. And in Section 7 other theoretical paths to be studied in the future and the conclusions of the work carried out will be described. |
|---|