Underlying SUSY in a generalized Jaynes–Cummings model

Abstract 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...

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Autores principales:	F. H. Maldonado-Villamizar, C. A. González-Gutiérrez, L. Villanueva-Vergara, B. M. Rodríguez-Lara
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/45047b1db6c8469db372222f7134594c
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spelling	oai:doaj.org-article:45047b1db6c8469db372222f7134594c2021-12-02T16:43:42ZUnderlying SUSY in a generalized Jaynes–Cummings model10.1038/s41598-021-95259-12045-2322https://doaj.org/article/45047b1db6c8469db372222f7134594c2021-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-95259-1https://doaj.org/toc/2045-2322Abstract 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.F. H. Maldonado-VillamizarC. A. González-GutiérrezL. Villanueva-VergaraB. M. Rodríguez-LaraNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-15 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q F. H. Maldonado-Villamizar C. A. González-Gutiérrez L. Villanueva-Vergara B. M. Rodríguez-Lara Underlying SUSY in a generalized Jaynes–Cummings model
description	Abstract 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.
format	article
author	F. H. Maldonado-Villamizar C. A. González-Gutiérrez L. Villanueva-Vergara B. M. Rodríguez-Lara
author_facet	F. H. Maldonado-Villamizar C. A. González-Gutiérrez L. Villanueva-Vergara B. M. Rodríguez-Lara
author_sort	F. H. Maldonado-Villamizar
title	Underlying SUSY in a generalized Jaynes–Cummings model
title_short	Underlying SUSY in a generalized Jaynes–Cummings model
title_full	Underlying SUSY in a generalized Jaynes–Cummings model
title_fullStr	Underlying SUSY in a generalized Jaynes–Cummings model
title_full_unstemmed	Underlying SUSY in a generalized Jaynes–Cummings model
title_sort	underlying susy in a generalized jaynes–cummings model
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/45047b1db6c8469db372222f7134594c
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_version_	1718383511725932544

Underlying SUSY in a generalized Jaynes–Cummings model

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