Adiabatic Shortcuts Completion in Quantum Field Theory: Annihilation of Created Particles

Shortcuts to adiabaticity (STA) are relevant in the context of quantum systems, particularly regarding their control when they are subjected to time-dependent external conditions. In this paper, we investigate the completion of a nonadiabatic evolution into a shortcut to adiabaticity for a quantum f...

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Detalhes bibliográficos
Autores: del Grosso, Nicolas Francisco, Lombardo, Fernando Cesar, Mazzitelli, Francisco Diego, Villar, Paula Ines
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/228114
Acesso em linha:http://hdl.handle.net/11336/228114
Access Level:acceso abierto
Palavra-chave:OPTOMECHANICAL CAVITY
QUANTUM THERMODYNAMICS
SHORTCUTS TO ADIABATICITY
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Descrição
Resumo:Shortcuts to adiabaticity (STA) are relevant in the context of quantum systems, particularly regarding their control when they are subjected to time-dependent external conditions. In this paper, we investigate the completion of a nonadiabatic evolution into a shortcut to adiabaticity for a quantum field confined within a one-dimensional cavity containing two movable mirrors. Expanding upon our prior research, we characterize the field’s state using two Moore functions that enables us to apply reverse engineering techniques in constructing the STA. Regardless of the initial evolution, we achieve a smooth extension of the Moore functions that implements the STA. This extension facilitates the computation of the mirrors’ trajectories based on the aforementioned functions. Additionally, we draw attention to the existence of a comparable problem within nonrelativistic quantum mechanics.