The dynamical Casimir effect and the generation of thermodynamic entropy

• Ano de defesa: 2024
• Autor(a) principal: Oliveira, Gustavo de
• Orientador(a): Céler, Lucas Chibebe
• Banca de defesa: Céler, Lucas Chibebe, Landi, Gabriel Teixeira, Maia Neto, Paulo Américo
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: eng
• Instituição de defesa: Universidade Federal de Goiás
• Programa de Pós-Graduação: Programa de Pós-graduação em Fisica (IF)
• Departamento: Instituto de Física - IF (RMG)
• País: Brasil
• Palavras-chave em Português: Efeito Casimir dinâmico; Produção de entropia; Termodinâmica quântica; Entropia diagona; Irreversibilidade
• Palavras-chave em Inglês: Dynamical Casimir effect; Entropy production; Quantum thermodynamics; Diagonal entropy; Irreversibility
• Área do conhecimento CNPq: CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::TRANSFERENCIA DE CALOR; PROCESSOS TERMICOS E TERMODINAMICOS
• Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tede/13424

In this dissertation, we investigate the dynamics of the thermodynamic entropy production in the dynamical Casimir effect. This is done by considering a quantum scalar field confined by a one-dimensional cavity composed of a pair of ideal mirrors, one fixed and the other allowed to move in a prescribed trajectory. The central goal of this work is to understand how the thermodynamic entropy of the field evolves over time due to the particle creation process induced by the non trivial boundary conditions imposed by the moving mirror. By employing an effective Hamiltonian approach, the system’s entropy production is shown to increase with the number of particles created within the short-time limit. Moreover, one can also demonstrate that this approach is directly related to the generation of quantum coherence in the energy basis of the field. Utilizing a distinct method, grounded in the theory of Gaussian states, we were able to analyze the long-time limit of the entropy production for a single mode of the field. The obtained results establish a relationship between the increase in thermodynamic entropy in the field mode and the entanglement between the considered mode and the rest of the field mode structure. In this way, we link the entropy production in the field due to the dynamical Casimir effect with two fundamental features of quantum mechanics: quantum coherence and entanglement.