96103 20240111111738.0 doi 10.1103/PhysRevE.102.042118 sideral 120567 ART-2020-120567 eng Alonso, J.L. Universidad de Zaragoza (orcid)0000-0003-0694-155X Entropy and canonical ensemble of hybrid quantum classical systems 2020 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/DGA-IIU/1408-2018 info:eu-repo/grantAgreement/ES/MINECO/FIS2017-82426-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.529 2020 PHYSICS, MATHEMATICAL 8 / 55 = 0.145 2020 Q1 T1 PHYSICS, FLUIDS & PLASMAS 12 / 34 = 0.353 2020 Q2 T2 0.896 2020 Condensed Matter Physics 2020 Q1 Statistics and Probability 2020 Q1 Statistical and Nonlinear Physics 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Bouthelier, C. Universidad de Zaragoza (orcid)0000-0003-1697-5710 Castro, A. Universidad de Zaragoza (orcid)0000-0002-9253-7926 Clemente-Gallardo, J. Universidad de Zaragoza (orcid)0000-0003-4721-7381 Jover-Galtier, J.A. Universidad de Zaragoza (orcid)0000-0001-9868-9368 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 102, 4 (2020), 042118 1-6 Phys. rev., E Physical Review E 2470-0045 173850 http://zaguan.unizar.es/record/96103/files/texto_completo.pdf Versión publicada 19152 http://zaguan.unizar.es/record/96103/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:96103 articulos driver 2024-01-11-10:59:59 ARTICLE