{"title":"Semiclassical spectra of the single- and two-photon Tavis-Cummings models","authors":"V. A. Beloiarov, I. F. Valtierra, A. B. Klimov","doi":"10.1364/josab.524023","DOIUrl":null,"url":null,"abstract":"We obtain explicit analytical expressions for the energy spectra of the resonant single- and two-photon Tavis-Cummings models in the asymptotic limit of a large number of atoms, <jats:italic>A</jats:italic>≫1, and a large number of total excitations, <jats:italic>N</jats:italic>≫1. We show that both the spectral singularities in the regime <jats:italic>N</jats:italic>/<jats:italic>A</jats:italic>∼1 and the equidistant spectra in the regime <jats:italic>N</jats:italic>/<jats:italic>A</jats:italic>≫1 can be accurately described in the semiclassical framework.","PeriodicalId":501621,"journal":{"name":"Journal of the Optical Society of America B","volume":"13 3 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Optical Society of America B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/josab.524023","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
We obtain explicit analytical expressions for the energy spectra of the resonant single- and two-photon Tavis-Cummings models in the asymptotic limit of a large number of atoms, A≫1, and a large number of total excitations, N≫1. We show that both the spectral singularities in the regime N/A∼1 and the equidistant spectra in the regime N/A≫1 can be accurately described in the semiclassical framework.
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