000127033 001__ 127033 000127033 005__ 20240111111743.0 000127033 0247_ $$2doi$$a10.1140/epjp/s13360-023-04266-w 000127033 0248_ $$2sideral$$a134363 000127033 037__ $$aART-2023-134363 000127033 041__ $$aeng 000127033 100__ $$0(orcid)0000-0003-0694-155X$$aAlonso, José Luis$$uUniversidad de Zaragoza 000127033 245__ $$aEffective nonlinear Ehrenfest hybrid quantum-classical dynamics 000127033 260__ $$c2023 000127033 5060_ $$aAccess copy available to the general public$$fUnrestricted 000127033 5203_ $$aThe definition of a consistent evolution equation for statistical hybrid quantum-classical systems is still an open problem. In this paper, we analyze the case of Ehrenfest dynamics on systems defined by a probability density and identify the relations of the nonlinearity of the dynamics with the obstructions to define a consistent dynamics for the first quantum moment of the distribution. This first quantum moment represents the physical states as a family of classically-parametrized density matrices ρˆ(ξ ), for ξ a classical point; and it is the most common representation of hybrid systems in the literature. Due to this obstruction, we consider higher order quantum moments, and argue that only a finite number of them are physically measurable. Because of this, we propose an effective solution for the hybrid dynamics problem based on approximating the distribution by those moments and representing the states by them 000127033 536__ $$9info:eu-repo/grantAgreement/ES/AEI/PID2021-123251NB-I00$$9info:eu-repo/grantAgreement/ES/DGA-CUS/581-2020$$9info:eu-repo/grantAgreement/ES/DGA/E48-23R$$9info:eu-repo/grantAgreement/ES/DGA-IIU/1408-2018 000127033 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000127033 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000127033 700__ $$0(orcid)0000-0003-1697-5710$$aBouthelier-Madre, Carlos$$uUniversidad de Zaragoza 000127033 700__ $$0(orcid)0000-0003-4721-7381$$aClemente-Gallardo, Jesús$$uUniversidad de Zaragoza 000127033 700__ $$0(orcid)0000-0002-6044-0337$$aMartínez-Crespo, David$$uUniversidad de Zaragoza 000127033 700__ $$aPomar, Javier 000127033 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000127033 773__ $$g138, 7 (2023), 649 [14 pp]$$pEUROPEAN PHYSICAL JOURNAL PLUS$$tEuropean Physical Journal Plus$$x2190-5444 000127033 8564_ $$s563888$$uhttps://zaguan.unizar.es/record/127033/files/texto_completo.pdf$$yVersión publicada 000127033 8564_ $$s2736390$$uhttps://zaguan.unizar.es/record/127033/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000127033 909CO $$ooai:zaguan.unizar.es:127033$$particulos$$pdriver 000127033 951__ $$a2024-01-11-11:02:14 000127033 980__ $$aARTICLE