Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric Potentials

The subject of PT -symmetry and its areas of application have been blossoming over the past decade. Here, we consider a nonlinear Schrödinger model with a complex potential that can be tuned controllably away from being PT - symmetric, as it might be the case in realistic applications. We utilize tw...

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Autores: Cuevas-Maraver, Jesús, Kevrekidis, Panayotis G., Frantzeskakis, Dimitri J., Kominis, Yannis
Tipo de recurso: capítulo de libro
Estado:Versión aceptada para publicación
Fecha de publicación:2018
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/86682
Acceso en línea:https://hdl.handle.net/11441/86682
https://doi.org/10.1007/978-981-13-1247-2_20
Access Level:acceso abierto
Palabra clave:Solitons
Nonlinear Schrödinger Equation
Stability
PT-symmetry
Unbalanced gain and loss
Symmetry breaking
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spelling Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric PotentialsCuevas-Maraver, JesúsKevrekidis, Panayotis G.Frantzeskakis, Dimitri J.Kominis, YannisSolitonsNonlinear Schrödinger EquationStabilityPT-symmetryUnbalanced gain and lossSymmetry breakingThe subject of PT -symmetry and its areas of application have been blossoming over the past decade. Here, we consider a nonlinear Schrödinger model with a complex potential that can be tuned controllably away from being PT - symmetric, as it might be the case in realistic applications. We utilize two parameters: the first one breaks PT -symmetry but retains a proportionality between the imaginary and the derivative of the real part of the potential; the second one, detunes from this latter proportionality. It is shown that the departure of the potential from the PT -symmetric form does not allow for the numerical identification of exact stationary solutions. Nevertheless, it is of crucial importance to consider the dynamical evolution of initial beam profiles. In that light, we define a suitable notion of optimization and find that even for non PT -symmetric cases, the beam dynamics, both in 1D and 2D –although prone to weak growth or decay– suggests that the optimized profiles do not change significantly under propagation for specific parameter regimes.AEI/FEDER, UE project MAT2016-79866-RSpringer Nature SingapureFísica Aplicada IFQM280: Física no Lineal2018info:eu-repo/semantics/bookPartinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/86682https://doi.org/10.1007/978-981-13-1247-2_20reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésParity-time Symmetry and Its ApplicationsMAT2016-79866-Rhttps://link.springer.com/chapter/10.1007%2F978-981-13-1247-2_20#enumerationSingapurinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/866822026-06-17T12:51:07Z
dc.title.none.fl_str_mv Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric Potentials
title Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric Potentials
spellingShingle Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric Potentials
Cuevas-Maraver, Jesús
Solitons
Nonlinear Schrödinger Equation
Stability
PT-symmetry
Unbalanced gain and loss
Symmetry breaking
title_short Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric Potentials
title_full Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric Potentials
title_fullStr Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric Potentials
title_full_unstemmed Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric Potentials
title_sort Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric Potentials
dc.creator.none.fl_str_mv Cuevas-Maraver, Jesús
Kevrekidis, Panayotis G.
Frantzeskakis, Dimitri J.
Kominis, Yannis
author Cuevas-Maraver, Jesús
author_facet Cuevas-Maraver, Jesús
Kevrekidis, Panayotis G.
Frantzeskakis, Dimitri J.
Kominis, Yannis
author_role author
author2 Kevrekidis, Panayotis G.
Frantzeskakis, Dimitri J.
Kominis, Yannis
author2_role author
author
author
dc.contributor.none.fl_str_mv Física Aplicada I
FQM280: Física no Lineal
dc.subject.none.fl_str_mv Solitons
Nonlinear Schrödinger Equation
Stability
PT-symmetry
Unbalanced gain and loss
Symmetry breaking
topic Solitons
Nonlinear Schrödinger Equation
Stability
PT-symmetry
Unbalanced gain and loss
Symmetry breaking
description The subject of PT -symmetry and its areas of application have been blossoming over the past decade. Here, we consider a nonlinear Schrödinger model with a complex potential that can be tuned controllably away from being PT - symmetric, as it might be the case in realistic applications. We utilize two parameters: the first one breaks PT -symmetry but retains a proportionality between the imaginary and the derivative of the real part of the potential; the second one, detunes from this latter proportionality. It is shown that the departure of the potential from the PT -symmetric form does not allow for the numerical identification of exact stationary solutions. Nevertheless, it is of crucial importance to consider the dynamical evolution of initial beam profiles. In that light, we define a suitable notion of optimization and find that even for non PT -symmetric cases, the beam dynamics, both in 1D and 2D –although prone to weak growth or decay– suggests that the optimized profiles do not change significantly under propagation for specific parameter regimes.
publishDate 2018
dc.date.none.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/bookPart
info:eu-repo/semantics/acceptedVersion
format bookPart
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/86682
https://doi.org/10.1007/978-981-13-1247-2_20
url https://hdl.handle.net/11441/86682
https://doi.org/10.1007/978-981-13-1247-2_20
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Parity-time Symmetry and Its Applications
MAT2016-79866-R
https://link.springer.com/chapter/10.1007%2F978-981-13-1247-2_20#enumeration
Singapur
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.publisher.none.fl_str_mv Springer Nature Singapure
publisher.none.fl_str_mv Springer Nature Singapure
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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