Matrix diagonalization and exact solution of the k-photon Jaynes–Cummings model

Research output: Contribution to journalArticleResearchpeer-review

Abstract

© 2018, EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature. Abstract: We study and exactly solve the two-photon and k-photon Jaynes–Cummings models by using a novelty algebraic method. This algebraic method is based on the Pauli matrices realization and the tilting transformation of the SU(2) group and let us diagonalize the Hamiltonian of these models by properly choosing the coherent state parameters of the transformation. Finally, we explicitly obtain the energy spectrum and eigenfunctions for each model. Graphical abstract: [Figure not available: see fulltext.].
Original languageAmerican English
JournalEuropean Physical Journal D
DOIs
StatePublished - 1 Aug 2018

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photons
Germany
eigenvectors
energy spectra
matrices

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title = "Matrix diagonalization and exact solution of the k-photon Jaynes–Cummings model",
abstract = "{\circledC} 2018, EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature. Abstract: We study and exactly solve the two-photon and k-photon Jaynes–Cummings models by using a novelty algebraic method. This algebraic method is based on the Pauli matrices realization and the tilting transformation of the SU(2) group and let us diagonalize the Hamiltonian of these models by properly choosing the coherent state parameters of the transformation. Finally, we explicitly obtain the energy spectrum and eigenfunctions for each model. Graphical abstract: [Figure not available: see fulltext.].",
author = "Enrique Chore{\~n}o and Didier Ojeda-Guill{\'e}n and Granados, {V{\'i}ctor David}",
year = "2018",
month = "8",
day = "1",
doi = "10.1140/epjd/e2018-90106-y",
language = "American English",
journal = "European Physical Journal D",
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Matrix diagonalization and exact solution of the k-photon Jaynes–Cummings model. / Choreño, Enrique; Ojeda-Guillén, Didier; Granados, Víctor David.

In: European Physical Journal D, 01.08.2018.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Matrix diagonalization and exact solution of the k-photon Jaynes–Cummings model

AU - Choreño, Enrique

AU - Ojeda-Guillén, Didier

AU - Granados, Víctor David

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N2 - © 2018, EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature. Abstract: We study and exactly solve the two-photon and k-photon Jaynes–Cummings models by using a novelty algebraic method. This algebraic method is based on the Pauli matrices realization and the tilting transformation of the SU(2) group and let us diagonalize the Hamiltonian of these models by properly choosing the coherent state parameters of the transformation. Finally, we explicitly obtain the energy spectrum and eigenfunctions for each model. Graphical abstract: [Figure not available: see fulltext.].

AB - © 2018, EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature. Abstract: We study and exactly solve the two-photon and k-photon Jaynes–Cummings models by using a novelty algebraic method. This algebraic method is based on the Pauli matrices realization and the tilting transformation of the SU(2) group and let us diagonalize the Hamiltonian of these models by properly choosing the coherent state parameters of the transformation. Finally, we explicitly obtain the energy spectrum and eigenfunctions for each model. Graphical abstract: [Figure not available: see fulltext.].

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