Hybrid Koopman $C^*$–formalism and the hybrid quantum–classical master equation*

Bouthelier-Madre, C. (Universidad de Zaragoza) ; Clemente-Gallardo, J. (Universidad de Zaragoza) ; González-Bravo, L. ; Martínez-Crespo, D. (Universidad de Zaragoza)

Resumen: Based on Koopman formalism for classical statistical mechanics, we propose a formalism to define hybrid quantum–classical dynamical systems by defining (outer) automorphisms of the $C^*$ algebra of hybrid operators and realizing them as linear transformations on the space of hybrid states. These hybrid states are represented as density matrices on the Hilbert space obtained from the hybrid $C^*$–algebra by the GNS construction. We also classify all possible dynamical systems which are unitary and obtain the possible hybrid Hamiltonian operators.

Idioma: Inglés

DOI: 10.1088/1751-8121/aceed5

Año: 2023

Publicado en: Journal of Physics A-Mathematical and Theoretical 56, 37 (2023), 374001 [21 pp.]
ISSN: 1751-8113

Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2021-123251NB-I00
Financiación: info:eu-repo/grantAgreement/ES/DGA-CUS/581-2020
Financiación: info:eu-repo/grantAgreement/ES/DGA/E48-23R
Financiación: info:eu-repo/grantAgreement/ES/DGA-IIU/1408-2018

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)