Medina Ramos, Raimel A. (2018) Aspectos de información cuántica en teoría cuántica de campos. / Aspects of quantum information in quantum field theory. Maestría en Ciencias Físicas, Universidad Nacional de Cuyo, Instituto Balseiro.
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Resumen en español
Las entropías relativas cuánticas de Renyi proporcionan una familia monoparamétrica de distancias entre matrices densidad, que generalizan la entropía relativa y la delidad. En esta Tesis, estudiamos estas medidas para flujos del grupo de renormalizacion en Teoría Cuántica de Campos. Derivamos expresiones explícitas en Teorías de Campos libres basándonos en el enfoque en tiempo real. Al utilizar las propiedades de monotonicidad, obtenemos nuevas desigualdades que deben satisfacerse por trayectorias consistentes del grupo de renormalización en Teoría de Campos. Al enfocarnos en el límite del cono de luz, mostramos que estas medidas, que caracterizan la trayectoria completa del RG, están limitadas por cantidades intrínsecas a los puntos flujos, como la entropía de borde o la carga central. Estas desigualdades desempeñan el papel de una segunda ley de la termodinámica, en el contexto de los flujos del grupo de renormalización. Finalmente, aplicamos estos resultados a un modelo Kondo simplificado, donde evaluamos explícitamente las entropías relativas de Renyi, trabajando tanto en una superficie de Cauchy a tiempo constante, como en una superficie de Cauchy que se acerca al cono de luz. Un resultado de esto es que la catástrofe de ortogonalidad de Anderson puede evitarse trabajando en una superficie de Cauchy que se acerca al cono de luz.
Resumen en inglés
Quantum Renyi relative entropies provide a one-parameter family of distances between density matrices, which generalizes the relative entropy and the delity. In this Thesis we study these measures for renormalization group ows in quantum eld theory. We derive explicit expressions in free eld theory based on the real time approach. Using monotonicity properties, we obtain new inequalities that need to be satised by consistent renormalization group trajectories in eld theory. By focusing on the lightcone limit, we show that these measures, which characterize the full RG trajectory, are bounded by quantities intrinsic to the xed points, such as the boundary entropy or the central charge. These inequalities play the role of a second law of thermodynamics, in the context of renormalization group flows. Finally, we apply these results to a tractable Kondo model, where we evaluate the Renyi relative entropies explicitly, working both on a constant time Cauchy surface, and on a Cauchy surface that approaches the light cone. An outcome of this is that Anderson's orthogonality catastrophe can be avoided by working on a Cauchy surface that approaches the light-cone.
| Tipo de objeto: | Tesis (Maestría en Ciencias Físicas) |
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| Palabras Clave: | Entropy; Entropía; Quantum field theory;Teoría del campo cuántico; Renormalization; Renormalización; [Renyi; Kondo] |
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| Materias: | Física > Física de altas energías |
| Divisiones: | Gcia. de área de Investigación y aplicaciones no nucleares > Gcia. de Física > Sistemas complejos y altas energías > Partículas y campos |
| Código ID: | 751 |
| Depositado Por: | Tamara Cárcamo |
| Depositado En: | 07 Oct 2019 12:58 |
| Última Modificación: | 07 Oct 2019 12:58 |
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