Underlying SUSY in a generalized Jaynes–Cummings model

Maldonado-Villamizar, F.H. ; González-Gutiérrez, C.A. (Universidad de Zaragoza) ; Villanueva-Vergara, L. ; Rodríguez-Lara, B.M.

Resumen: We 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.

Idioma: Inglés

DOI: 10.1038/s41598-021-95259-1

Año: 2021

Publicado en: Scientific reports (Nature Publishing Group) 11 (2021), 16467 [15 pp.]
ISSN: 2045-2322

Factor impacto JCR: 4.997 (2021)

Categ. JCR: MULTIDISCIPLINARY SCIENCES rank: 19 / 74 = 0.257 (2021) - Q2 - T1

Factor impacto SCIMAGO: 1.005 - Multidisciplinary (Q1)

Financiación: info:eu-repo/grantAgreement/ES/MINECO/MAT2017-88358-C3-1-R

Tipo y forma: Article (Published version)

Área (Departamento): Área Física Materia Condensada (Dpto. Física Materia Condensa.)