000170025 001__ 170025
000170025 005__ 20260316092629.0
000170025 0247_ $$2doi$$a10.1103/kjdp-1g12
000170025 0248_ $$2sideral$$a148576
000170025 037__ $$aART-2026-148576
000170025 041__ $$aeng
000170025 100__ $$0(orcid)0000-0003-0694-155X$$aAlonso, J. L.$$uUniversidad de Zaragoza
000170025 245__ $$aHybrid quantum-classical systems: Statistics, entropy, microcanonical ensemble and its connection to the canonical ensemble
000170025 260__ $$c2026
000170025 5060_ $$aAccess copy available to the general public$$fUnrestricted
000170025 5203_ $$aWe describe in detail a mathematical framework in which statistical ensembles of hybrid classical-quantum systems can be properly described. We show how a maximum entropy principle can be applied to derive the microcanonical ensemble of hybrid systems. We investigate its properties, and in particular how the microcanonical ensemble and its marginal classical and quantum ensembles can be defined for arbitrarily small range of energies for the whole system. We show how, in this situation, the ensembles are well defined for a continuum of energy values, unlike the purely quantum microcanonical ensemble, thus proving that hybrid systems translate properties of classical systems to the quantum realm. We also analyze the relation with the hybrid canonical ensemble by considering the microcanonical ensemble of a compound system composed of a hybrid subsystem weakly coupled to a reservoir and computing the marginal ensemble of the hybrid subsystem. Lastly, we apply the theory to the statistics of a toy model, which gives some insight on the different properties presented along the article.
000170025 536__ $$9info:eu-repo/grantAgreement/ES/AEI/CPP2021-008644$$9info:eu-repo/grantAgreement/ES/AEI/PID2021-122961NB-I00$$9info:eu-repo/grantAgreement/ES/AEI/PID2021-123251NB-I00$$9info:eu-repo/grantAgreement/ES/DGA/E24-23R$$9info:eu-repo/grantAgreement/ES/DGA/E48-23R
000170025 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000170025 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000170025 700__ $$0(orcid)0000-0003-1697-5710$$aBouthelier-Madre, C.
000170025 700__ $$0(orcid)0000-0002-9253-7926$$aCastro, A.
000170025 700__ $$0(orcid)0000-0003-4721-7381$$aClemente-Gallardo, J.$$uUniversidad de Zaragoza
000170025 700__ $$0(orcid)0000-0001-9868-9368$$aJover-Galtier, J. A.$$uUniversidad de Zaragoza
000170025 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000170025 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica
000170025 773__ $$g113, 3 (2026), [16 pp.]$$pPhys. rev., E$$tPhysical Review E$$x2470-0045
000170025 8564_ $$s531546$$uhttps://zaguan.unizar.es/record/170025/files/texto_completo.pdf$$yPostprint
000170025 8564_ $$s3107310$$uhttps://zaguan.unizar.es/record/170025/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000170025 909CO $$ooai:zaguan.unizar.es:170025$$particulos$$pdriver
000170025 951__ $$a2026-03-16-08:17:03
000170025 980__ $$aARTICLE