Spectral collapse in multiqubit two-photon Rabi model

Abstract We have shown that the smallest possible singel-qubit critical coupling strength of the N-qubit two-photon Rabi model is only 1/N times that of the two-photon Rabi model. The spectral collapse can thus occur at a more attainable value of the critical coupling. For both of the two-qubit and...

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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/084977195c254d1dacb404f9481838e0
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spelling	oai:doaj.org-article:084977195c254d1dacb404f9481838e02021-12-02T15:54:10ZSpectral collapse in multiqubit two-photon Rabi model10.1038/s41598-021-84934-y2045-2322https://doaj.org/article/084977195c254d1dacb404f9481838e02021-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-84934-yhttps://doaj.org/toc/2045-2322Abstract We have shown that the smallest possible singel-qubit critical coupling strength of the N-qubit two-photon Rabi model is only 1/N times that of the two-photon Rabi model. The spectral collapse can thus occur at a more attainable value of the critical coupling. For both of the two-qubit and three-qubit cases, we have also rigorously demonstrated that at the critical coupling the system not only has a set of discrete eigenenergies but also 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 the presence of a finite potential well and a nonlocal potential. The energy difference of each qubit, which specifies both the depth of the finite potential well and the strength of the nonlocal potential, determines the number of bound states available, implying that the extent of the incomplete spectral collapse can be monitored in a straightforward manner.C. F. LoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q C. F. Lo Spectral collapse in multiqubit two-photon Rabi model
description	Abstract We have shown that the smallest possible singel-qubit critical coupling strength of the N-qubit two-photon Rabi model is only 1/N times that of the two-photon Rabi model. The spectral collapse can thus occur at a more attainable value of the critical coupling. For both of the two-qubit and three-qubit cases, we have also rigorously demonstrated that at the critical coupling the system not only has a set of discrete eigenenergies but also 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 the presence of a finite potential well and a nonlocal potential. The energy difference of each qubit, which specifies both the depth of the finite potential well and the strength of the nonlocal potential, determines the number of bound states available, implying that the extent of the incomplete spectral collapse can be monitored in a straightforward manner.
format	article
author	C. F. Lo
author_facet	C. F. Lo
author_sort	C. F. Lo
title	Spectral collapse in multiqubit two-photon Rabi model
title_short	Spectral collapse in multiqubit two-photon Rabi model
title_full	Spectral collapse in multiqubit two-photon Rabi model
title_fullStr	Spectral collapse in multiqubit two-photon Rabi model
title_full_unstemmed	Spectral collapse in multiqubit two-photon Rabi model
title_sort	spectral collapse in multiqubit two-photon rabi model
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/084977195c254d1dacb404f9481838e0
work_keys_str_mv	AT cflo spectralcollapseinmultiqubittwophotonrabimodel
_version_	1718385431445241856

Spectral collapse in multiqubit two-photon Rabi model

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