PT-symmetric dimer of coupled nonlinear oscillators

We provide a systematic analysis of a prototypical nonlinear oscillator system respecting PT symmetry i.e., one of them has gain and the other an equal and opposite amount of loss. Starting from the linear limit of the system, we extend considerations to the nonlinear case for both soft and hard cub...

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Autores: Cuevas-Maraver, Jesús, Kevrekidis, Panayotis G., Saxena, Avadh, Khare, Avinash
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23404
Acceso en línea:http://hdl.handle.net/11441/23404
https://doi.org/10.1103/PhysRevA.88.032108
Access Level:acceso abierto
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spelling PT-symmetric dimer of coupled nonlinear oscillatorsCuevas-Maraver, JesúsKevrekidis, Panayotis G.Saxena, AvadhKhare, AvinashWe provide a systematic analysis of a prototypical nonlinear oscillator system respecting PT symmetry i.e., one of them has gain and the other an equal and opposite amount of loss. Starting from the linear limit of the system, we extend considerations to the nonlinear case for both soft and hard cubic nonlinearities identifying symmetric and antisymmetric breather solutions, as well as symmetry-breaking variants thereof. We propose a reduction of the system to a Schrödinger-type PT-symmetric dimer, whose detailed earlier understanding can explain many of the phenomena observed herein, including the PT phase transition. Nevertheless, there are also significant parametric as well as phenomenological potential differences between the two models and we discuss where these arise and where they are most pronounced. Finally, we also provide examples of the evolution dynamics of the different states in their regimes of instability.MICINN project FIS2008-04848Física Aplicada IMinisterio de Ciencia e Innovación (MICIN). España2013info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/23404https://doi.org/10.1103/PhysRevA.88.032108reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésPhysical Review A, 88(3), 032108:1-11http://journals.aps.org/pra/abstract/10.1103/PhysRevA.88.032108http://dx.doi.org/10.1103/PhysRevA.88.032108http://dx.doi.org/10.1103/PhysRevA.88.032108info:eu-repo/semantics/openAccessoai:idus.us.es:11441/234042026-06-17T12:51:07Z
dc.title.none.fl_str_mv PT-symmetric dimer of coupled nonlinear oscillators
title PT-symmetric dimer of coupled nonlinear oscillators
spellingShingle PT-symmetric dimer of coupled nonlinear oscillators
Cuevas-Maraver, Jesús
title_short PT-symmetric dimer of coupled nonlinear oscillators
title_full PT-symmetric dimer of coupled nonlinear oscillators
title_fullStr PT-symmetric dimer of coupled nonlinear oscillators
title_full_unstemmed PT-symmetric dimer of coupled nonlinear oscillators
title_sort PT-symmetric dimer of coupled nonlinear oscillators
dc.creator.none.fl_str_mv Cuevas-Maraver, Jesús
Kevrekidis, Panayotis G.
Saxena, Avadh
Khare, Avinash
author Cuevas-Maraver, Jesús
author_facet Cuevas-Maraver, Jesús
Kevrekidis, Panayotis G.
Saxena, Avadh
Khare, Avinash
author_role author
author2 Kevrekidis, Panayotis G.
Saxena, Avadh
Khare, Avinash
author2_role author
author
author
dc.contributor.none.fl_str_mv Física Aplicada I
Ministerio de Ciencia e Innovación (MICIN). España
description We provide a systematic analysis of a prototypical nonlinear oscillator system respecting PT symmetry i.e., one of them has gain and the other an equal and opposite amount of loss. Starting from the linear limit of the system, we extend considerations to the nonlinear case for both soft and hard cubic nonlinearities identifying symmetric and antisymmetric breather solutions, as well as symmetry-breaking variants thereof. We propose a reduction of the system to a Schrödinger-type PT-symmetric dimer, whose detailed earlier understanding can explain many of the phenomena observed herein, including the PT phase transition. Nevertheless, there are also significant parametric as well as phenomenological potential differences between the two models and we discuss where these arise and where they are most pronounced. Finally, we also provide examples of the evolution dynamics of the different states in their regimes of instability.
publishDate 2013
dc.date.none.fl_str_mv 2013
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/23404
https://doi.org/10.1103/PhysRevA.88.032108
url http://hdl.handle.net/11441/23404
https://doi.org/10.1103/PhysRevA.88.032108
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Physical Review A, 88(3), 032108:1-11
http://journals.aps.org/pra/abstract/10.1103/PhysRevA.88.032108
http://dx.doi.org/10.1103/PhysRevA.88.032108
http://dx.doi.org/10.1103/PhysRevA.88.032108
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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