000109396 001__ 109396 000109396 005__ 20230519145454.0 000109396 0247_ $$2doi$$a10.1038/s41598-021-95259-1 000109396 0248_ $$2sideral$$a125153 000109396 037__ $$aART-2021-125153 000109396 041__ $$aeng 000109396 100__ $$aMaldonado-Villamizar, F.H. 000109396 245__ $$aUnderlying SUSY in a generalized Jaynes–Cummings model 000109396 260__ $$c2021 000109396 5060_ $$aAccess copy available to the general public$$fUnrestricted 000109396 5203_ $$aWe present a general qubit-boson interaction Hamiltonian that describes the Jaynes–Cummings model and its extensions as a single Hamiltonian class. Our model includes non-linear processes for both the free qubit and boson field as well as non-linear, multi-boson excitation exchange between them. It shows an underlying algebra with supersymmetric quantum mechanics features allowing an operator based diagonalization that simplifies the calculations of observables. As a practical example, we show the evolution of the population inversion and the boson quadratures for an initial state consisting of the qubit in the ground state interacting with a coherent field for a selection of cases covering the standard Jaynes–Cummings model and some of its extensions including Stark shift, Kerr-like, intensity dependent coupling, multi-boson exchange and algebraic deformations. 000109396 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/MAT2017-88358-C3-1-R 000109396 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000109396 590__ $$a4.997$$b2021 000109396 592__ $$a1.005$$b2021 000109396 591__ $$aMULTIDISCIPLINARY SCIENCES$$b19 / 74 = 0.257$$c2021$$dQ2$$eT1 000109396 593__ $$aMultidisciplinary$$c2021$$dQ1 000109396 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000109396 700__ $$0(orcid)0000-0002-1734-1405$$aGonzález-Gutiérrez, C.A.$$uUniversidad de Zaragoza 000109396 700__ $$aVillanueva-Vergara, L. 000109396 700__ $$aRodríguez-Lara, B.M. 000109396 7102_ $$12003$$2395$$aUniversidad de Zaragoza$$bDpto. Física Materia Condensa.$$cÁrea Física Materia Condensada 000109396 773__ $$g11 (2021), 16467 [15 pp.]$$pSci. rep. (Nat. Publ. Group)$$tScientific reports (Nature Publishing Group)$$x2045-2322 000109396 8564_ $$s6123772$$uhttps://zaguan.unizar.es/record/109396/files/texto_completo.pdf$$yVersión publicada 000109396 8564_ $$s2086131$$uhttps://zaguan.unizar.es/record/109396/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000109396 909CO $$ooai:zaguan.unizar.es:109396$$particulos$$pdriver 000109396 951__ $$a2023-05-18-14:48:34 000109396 980__ $$aARTICLE