Entropy and canonical ensemble of hybrid quantum classical systems

Alonso, J.L. (Universidad de Zaragoza) ; Bouthelier, C. (Universidad de Zaragoza) ; Castro, A. (Universidad de Zaragoza) ; Clemente-Gallardo, J. (Universidad de Zaragoza) ; Jover-Galtier, J.A. (Universidad de Zaragoza)

Resumen: In this work we generalize and combine Gibbs and von Neumann approaches to build, for the first time, a rigorous definition of entropy for hybrid quantum-classical systems. The resulting function coincides with the two cases above when the suitable limits are considered. Then, we apply the MaxEnt principle for this hybrid entropy function and obtain the natural candidate for the hybrid canonical ensemble (HCE). We prove that the suitable classical and quantum limits of the HCE coincide with the usual classical and quantum canonical ensembles since the whole scheme admits both limits, thus showing that the MaxEnt principle is applicable and consistent for hybrid systems.

Idioma: Inglés

DOI: 10.1103/PhysRevE.102.042118

Año: 2020

Publicado en: Physical Review E 102, 4 (2020), 042118 1-6
ISSN: 2470-0045

Factor impacto JCR: 2.529 (2020)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 8 / 55 = 0.145 (2020) - Q1 - T1
Categ. JCR: PHYSICS, FLUIDS & PLASMAS rank: 12 / 34 = 0.353 (2020) - Q2 - T2

Factor impacto SCIMAGO: 0.896 - Condensed Matter Physics (Q1) - Statistics and Probability (Q1) - Statistical and Nonlinear Physics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA-IIU/1408-2018
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2017-82426-P

Tipo y forma: Artículo (Versión definitiva)

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