Thermalization of an isotropic quantum harmonic oscillator
This work describes the most important states used in the field of quantum information: coherent states. We start with the definition of a Hamiltonian for a two-dimesional harmonic oscillator from which we construct the eigenstates called Hermite-Gauss states and Laguerre-Gauss states, which allow t...
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| Formato: | tesis de maestría |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Universidad de Valladolid |
| Repositorio: | UVaDOC. Repositorio Documental de la Universidad de Valladolid |
| OAI Identifier: | oai:uvadoc.uva.es:10324/63444 |
| Acesso em linha: | https://uvadoc.uva.es/handle/10324/63444 |
| Access Level: | acceso abierto |
| Palavra-chave: | Laguerre-Gauss Hermite-Gauss BeamSplitter |
| Resumo: | This work describes the most important states used in the field of quantum information: coherent states. We start with the definition of a Hamiltonian for a two-dimesional harmonic oscillator from which we construct the eigenstates called Hermite-Gauss states and Laguerre-Gauss states, which allow to describe the modes of a beam system. We continue describing the main coherent and thermal states that can be defined from the same Hamiltonian, this time they are visualized as eigenstates of the SU(1, 1) group generators and then for SU(2). Subsequently, a theoretical system involving the input of a thermal state and an empty state in a beam splitter is discussed and experimentally compared. |
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