Temporal dynamics in systems of qubits coupled to a bosonic mode

Through the numerical study of the properties of the temporal evolution of a state of a spin-boson system in the deep strong coupling regime, a rich structure of probability collapses and revivals is discovered. By analyzing the geometric properties of the trajectories of the Loschmidt amplitude associated to the problem, a connection between rotation directions and the probability collapses is made. The sources of this structure are then related to systems with a higher number of qubits, shedding light on the possible emergence of dynamic quantum phase transitions in these systems. Lastly, various perturbative approaches are presented to attempt a theoretical understanding for the emergence of such a structure.

• Autores: Betancourt Valencia, José Manuel
• Tipo de recurso: Trabajo de grado de pregrado
• Fecha de publicación: 2021
• Institución: Universidad de los Andes
• Repositorio: Séneca: repositorio Uniandes
• Idioma: eng
• OAI Identifier: oai:repositorio.uniandes.edu.co:1992/54582
• Acceso en línea: http://hdl.handle.net/1992/54582
• Palabra clave: Dynamic quantum phase transitions; Quantum optics; Perturbation theory; Qubit; Bosones; Física
• Rights: openAccess
• License: http://creativecommons.org/licenses/by-nd/4.0/