Symmetries of the squeeze-driven Kerr oscillator

We study the symmetries of the static effective Hamiltonian of a driven superconducting nonlinear oscillator, the so-called squeeze-driven Kerr Hamiltonian, and discover a remarkable quasi-spin symmetry su(2) at integer values of the ratio η = ∆/K of the detuning parameter ∆ to the Kerr coef- ficien...

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Detalles Bibliográficos
Autores: Iachello, F., Cortiñas, Rodrigo G., Pérez Bernal, Francisco, Santos, Lea F.
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad de Huelva (UHU)
Repositorio:Arias Montano. Repositorio Institucional de la Universidad de Huelva
Idioma:inglés
OAI Identifier:oai:ariasmontano.uhu.es:10272/23098
Acceso en línea:https://hdl.handle.net/10272/23098
Access Level:acceso abierto
Palabra clave:Kerr parametric oscillator
Squeeze-driven Kerr oscillator
Local symmetry
Quasi-spin symmetry
Excited-state quantum phase transition
22 Física
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spelling Symmetries of the squeeze-driven Kerr oscillatorIachello, F.Cortiñas, Rodrigo G.Pérez Bernal, FranciscoSantos, Lea F.Kerr parametric oscillatorSqueeze-driven Kerr oscillatorLocal symmetryQuasi-spin symmetryExcited-state quantum phase transition22 FísicaWe study the symmetries of the static effective Hamiltonian of a driven superconducting nonlinear oscillator, the so-called squeeze-driven Kerr Hamiltonian, and discover a remarkable quasi-spin symmetry su(2) at integer values of the ratio η = ∆/K of the detuning parameter ∆ to the Kerr coef- ficient K. We investigate the stability of this newly discovered symmetry to high-order perturbations arising from the static effective expansion of the driven Hamiltonian. Our finding may find applications in the generation and stabilization of states useful for quantum computing. Finally, we discuss other Hamiltonians with similar properties and within reach of current technologies.IOP Publishing20232023-01-0120232023-01-01journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10272/23098reponame:Arias Montano. Repositorio Institucional de la Universidad de Huelvainstname:Universidad de Huelva (UHU)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:ariasmontano.uhu.es:10272/230982026-06-02T14:58:11Z
dc.title.none.fl_str_mv Symmetries of the squeeze-driven Kerr oscillator
title Symmetries of the squeeze-driven Kerr oscillator
spellingShingle Symmetries of the squeeze-driven Kerr oscillator
Iachello, F.
Kerr parametric oscillator
Squeeze-driven Kerr oscillator
Local symmetry
Quasi-spin symmetry
Excited-state quantum phase transition
22 Física
title_short Symmetries of the squeeze-driven Kerr oscillator
title_full Symmetries of the squeeze-driven Kerr oscillator
title_fullStr Symmetries of the squeeze-driven Kerr oscillator
title_full_unstemmed Symmetries of the squeeze-driven Kerr oscillator
title_sort Symmetries of the squeeze-driven Kerr oscillator
dc.creator.none.fl_str_mv Iachello, F.
Cortiñas, Rodrigo G.
Pérez Bernal, Francisco
Santos, Lea F.
author Iachello, F.
author_facet Iachello, F.
Cortiñas, Rodrigo G.
Pérez Bernal, Francisco
Santos, Lea F.
author_role author
author2 Cortiñas, Rodrigo G.
Pérez Bernal, Francisco
Santos, Lea F.
author2_role author
author
author
dc.contributor.none.fl_str_mv
dc.subject.none.fl_str_mv Kerr parametric oscillator
Squeeze-driven Kerr oscillator
Local symmetry
Quasi-spin symmetry
Excited-state quantum phase transition
22 Física
topic Kerr parametric oscillator
Squeeze-driven Kerr oscillator
Local symmetry
Quasi-spin symmetry
Excited-state quantum phase transition
22 Física
description We study the symmetries of the static effective Hamiltonian of a driven superconducting nonlinear oscillator, the so-called squeeze-driven Kerr Hamiltonian, and discover a remarkable quasi-spin symmetry su(2) at integer values of the ratio η = ∆/K of the detuning parameter ∆ to the Kerr coef- ficient K. We investigate the stability of this newly discovered symmetry to high-order perturbations arising from the static effective expansion of the driven Hamiltonian. Our finding may find applications in the generation and stabilization of states useful for quantum computing. Finally, we discuss other Hamiltonians with similar properties and within reach of current technologies.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-01-01
2023
2023-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10272/23098
url https://hdl.handle.net/10272/23098
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:Arias Montano. Repositorio Institucional de la Universidad de Huelva
instname:Universidad de Huelva (UHU)
instname_str Universidad de Huelva (UHU)
reponame_str Arias Montano. Repositorio Institucional de la Universidad de Huelva
collection Arias Montano. Repositorio Institucional de la Universidad de Huelva
repository.name.fl_str_mv
repository.mail.fl_str_mv
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