Topological phenomena in active arrays
One of the most exciting developing fields in optics is the non-Hermitian topological photonics theory. This new field not only promises the understanding of the theoretical properties of non-Hermitian systems, but has also generated the possibility to develop more efficient materials. This new fiel...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2019 |
| País: | México |
| Institución: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repositorio: | Repositorio Institucional del INAOE |
| Idioma: | inglés |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/1847 |
| Acceso en línea: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/1847 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/Inspec/Microring resonators info:eu-repo/classification/Inspec/Parity time symmetry info:eu-repo/classification/Inspec/Topology info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2209 |
| Sumario: | One of the most exciting developing fields in optics is the non-Hermitian topological photonics theory. This new field not only promises the understanding of the theoretical properties of non-Hermitian systems, but has also generated the possibility to develop more efficient materials. This new field have emerged from the merging of two frontiers research fields. One is the study of non-Hermitian Hamiltonians that has led to the study of the Parity-time symmetry theory (PT). Its application in Optics has originated diverse applications such as, invisibility metamaterials and metasurfaces and single mode selection, to selection a few. The second one is the application of topological concepts in physical systems. The main objective of this work is to analyze a topological system with PT symmetry. The conditions where the PT symmetry and the topological properties are conserved in this theoretical model are determined. The PT symmetry and the topology of a system have transition phases. In a PT symmetric system, it is called unbroken phase when the eigenvalues of the system are completely real and it is called broken phase when the symmetry is no longer fulfilled and generates imaginary eigenvalues. In the case of a topological system, the system presents the trivial topological phase and the non-trivial phase. We will study the relation between the PT symmetry phases and the non-trivial phase of the topological system. To achieve the main goal, the work is divided into two parts: *An optical PT symmetric system made by two coupled microring resonators are analyzed. Through this model, the broken and unbroken PT phases are verified. * Finally, through a finite SSH array composed of microrings resonators, we study the conditions to have PT symmetry in the system. The model analyzed has been taken from the work of M. Parto, et.al., Phys. Rev. Lett. 120, 113901 (2018). We corroborate that the system satisfies indeed the PT symmetry and topological conditions. |
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