Spectral collapse in anisotropic two-photon Rabi model

Abstract In this communication, based upon a squeezed-state trial wave function, we have performed a simple variational study of the spectral collapse in the anisotropic two-photon Rabi model. Our analysis indicates that the light-matter interaction and the spin-flipping (together with the anisotrop...

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Autor principal:	C. F. Lo
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/39314e453e1b418eb40ead8649ae0f21
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spelling	oai:doaj.org-article:39314e453e1b418eb40ead8649ae0f212021-12-02T17:48:00ZSpectral collapse in anisotropic two-photon Rabi model10.1038/s41598-021-91915-82045-2322https://doaj.org/article/39314e453e1b418eb40ead8649ae0f212021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-91915-8https://doaj.org/toc/2045-2322Abstract In this communication, based upon a squeezed-state trial wave function, we have performed a simple variational study of the spectral collapse in the anisotropic two-photon Rabi model. Our analysis indicates that the light-matter interaction and the spin-flipping (together with the anisotropy) effectively constitute two competing impacts upon the radiation mode. Whilst the former tries to decrease the radiation mode frequency, the latter may counteract or reinforce it. The light-matter interaction appears to dominate the frequency modulation as its coupling strengths go beyond the critical values, leading to the emergence of the spectral collapse. However, at the critical couplings the dominance of the light-matter interaction is not complete, and incomplete spectral collapse appears. Accordingly, at the critical couplings the eigenenergy spectrum comprises both a set of discrete energy levels and a continuous energy spectrum. The discrete eigenenergy spectrum can be derived via a simple one-to-one mapping to the bound state problem of a particle of variable effective mass in a finite potential well, and the number of bound states available is determined by the energy difference between the two atomic levels. Each of these eigenenergies has a twofold degeneracy corresponding to the spin degree of freedom.C. F. LoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-7 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q C. F. Lo Spectral collapse in anisotropic two-photon Rabi model
description	Abstract In this communication, based upon a squeezed-state trial wave function, we have performed a simple variational study of the spectral collapse in the anisotropic two-photon Rabi model. Our analysis indicates that the light-matter interaction and the spin-flipping (together with the anisotropy) effectively constitute two competing impacts upon the radiation mode. Whilst the former tries to decrease the radiation mode frequency, the latter may counteract or reinforce it. The light-matter interaction appears to dominate the frequency modulation as its coupling strengths go beyond the critical values, leading to the emergence of the spectral collapse. However, at the critical couplings the dominance of the light-matter interaction is not complete, and incomplete spectral collapse appears. Accordingly, at the critical couplings the eigenenergy spectrum comprises both a set of discrete energy levels and a continuous energy spectrum. The discrete eigenenergy spectrum can be derived via a simple one-to-one mapping to the bound state problem of a particle of variable effective mass in a finite potential well, and the number of bound states available is determined by the energy difference between the two atomic levels. Each of these eigenenergies has a twofold degeneracy corresponding to the spin degree of freedom.
format	article
author	C. F. Lo
author_facet	C. F. Lo
author_sort	C. F. Lo
title	Spectral collapse in anisotropic two-photon Rabi model
title_short	Spectral collapse in anisotropic two-photon Rabi model
title_full	Spectral collapse in anisotropic two-photon Rabi model
title_fullStr	Spectral collapse in anisotropic two-photon Rabi model
title_full_unstemmed	Spectral collapse in anisotropic two-photon Rabi model
title_sort	spectral collapse in anisotropic two-photon rabi model
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/39314e453e1b418eb40ead8649ae0f21
work_keys_str_mv	AT cflo spectralcollapseinanisotropictwophotonrabimodel
_version_	1718379458026536960

Spectral collapse in anisotropic two-photon Rabi model

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