000096103 001__ 96103 000096103 005__ 20240111111738.0 000096103 0247_ $$2doi$$a10.1103/PhysRevE.102.042118 000096103 0248_ $$2sideral$$a120567 000096103 037__ $$aART-2020-120567 000096103 041__ $$aeng 000096103 100__ $$0(orcid)0000-0003-0694-155X$$aAlonso, J.L.$$uUniversidad de Zaragoza 000096103 245__ $$aEntropy and canonical ensemble of hybrid quantum classical systems 000096103 260__ $$c2020 000096103 5060_ $$aAccess copy available to the general public$$fUnrestricted 000096103 5203_ $$aIn 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. 000096103 536__ $$9info:eu-repo/grantAgreement/ES/DGA-IIU/1408-2018$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2017-82426-P 000096103 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000096103 590__ $$a2.529$$b2020 000096103 591__ $$aPHYSICS, MATHEMATICAL$$b8 / 55 = 0.145$$c2020$$dQ1$$eT1 000096103 591__ $$aPHYSICS, FLUIDS & PLASMAS$$b12 / 34 = 0.353$$c2020$$dQ2$$eT2 000096103 592__ $$a0.896$$b2020 000096103 593__ $$aCondensed Matter Physics$$c2020$$dQ1 000096103 593__ $$aStatistics and Probability$$c2020$$dQ1 000096103 593__ $$aStatistical and Nonlinear Physics$$c2020$$dQ1 000096103 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000096103 700__ $$0(orcid)0000-0003-1697-5710$$aBouthelier, C.$$uUniversidad de Zaragoza 000096103 700__ $$0(orcid)0000-0002-9253-7926$$aCastro, A.$$uUniversidad de Zaragoza 000096103 700__ $$0(orcid)0000-0003-4721-7381$$aClemente-Gallardo, J.$$uUniversidad de Zaragoza 000096103 700__ $$0(orcid)0000-0001-9868-9368$$aJover-Galtier, J.A.$$uUniversidad de Zaragoza 000096103 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000096103 773__ $$g102, 4 (2020), 042118 1-6$$pPhys. rev., E$$tPhysical Review E$$x2470-0045 000096103 8564_ $$s173850$$uhttps://zaguan.unizar.es/record/96103/files/texto_completo.pdf$$yVersión publicada 000096103 8564_ $$s19152$$uhttps://zaguan.unizar.es/record/96103/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000096103 909CO $$ooai:zaguan.unizar.es:96103$$particulos$$pdriver 000096103 951__ $$a2024-01-11-10:59:59 000096103 980__ $$aARTICLE