127033 20241125101157.0 doi 10.1140/epjp/s13360-023-04266-w sideral 134363 ART-2023-134363 eng Alonso, José Luis Universidad de Zaragoza (orcid)0000-0003-0694-155X Effective nonlinear Ehrenfest hybrid quantum-classical dynamics 2023 Access copy available to the general public Unrestricted The 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 info:eu-repo/grantAgreement/ES/AEI/PID2021-123251NB-I00 info:eu-repo/grantAgreement/ES/DGA-CUS/581-2020 info:eu-repo/grantAgreement/ES/DGA/E48-23R info:eu-repo/grantAgreement/ES/DGA-IIU/1408-2018 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.8 2023 PHYSICS, MULTIDISCIPLINARY 32 / 112 = 0.286 2023 Q2 T1 0.473 2023 Physics and Astronomy (miscellaneous) 2023 Q2 Fluid Flow and Transfer Processes 2023 Q2 5.4 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Bouthelier-Madre, Carlos Universidad de Zaragoza (orcid)0000-0003-1697-5710 Clemente-Gallardo, Jesús Universidad de Zaragoza (orcid)0000-0003-4721-7381 Martínez-Crespo, David Universidad de Zaragoza (orcid)0000-0002-6044-0337 Pomar, Javier 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 138, 7 (2023), 649 [14 pp] EUROPEAN PHYSICAL JOURNAL PLUS European Physical Journal Plus 2190-5444 563888 http://zaguan.unizar.es/record/127033/files/texto_completo.pdf Versión publicada 2736390 http://zaguan.unizar.es/record/127033/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:127033 articulos driver 2024-11-22-12:09:58 ARTICLE