RT Journal Article T1 Phase space quantum-classical hybrid model A1 García Moreno, Gerardo A1 Ares Santos, Laura A1 Luis Aina, Alfredo AB In this work we provide a complete model of semiclassical theories by including back-reaction and correlation into the picture. We specially aim at the interaction between light and a two-level atom, and we also illustrate it via the coupling of two harmonic oscillators. Quantum and classical systems are treated on the same grounds via the Wigner-Weyl phase-space correspondence of the quantum theory. We show that this model provides a suitable mixture of the quantum and classical degrees of freedom, including the fact that the evolution transfers nonclassical features to the classical subsystem and nonquantum behaviour to the quantum subsystem. In that sense, we can no longer distinguish between classical and quantum variables and we need to talk about a hybrid model. (C) 2019 Elsevier Inc. All rights reserved. PB Academic Press Inc Elsevier Science SN 0003-4916 YR 2019 FD 2019-12 LK https://hdl.handle.net/20.500.14352/6009 UL https://hdl.handle.net/20.500.14352/6009 LA spa NO © 2019 Elsevier Inc.A.L. and L.A. acknowledge financial support from Spanish Ministerio de Economía y Competitividad Projects No, FIS2016-75199-P, and from the Comunidad Autónoma de Madrid research consortium QUITEMAD+ Grant No. S2013/ICE-2801.; L.A. acknowledges financial support from European Social Fund and the Spanish Ministerio de Ciencia Innovación y Universidades Contract Grant No. BES-2017-081942. NO Ministerio de Economia y Competitividad (MINECO) NO Ministerio de Ciencia e Innovación (MICINN) NO Comunidad de Madrid DS Docta Complutense RD 8 abr 2025