Wave-packet dynamics in nonlinear Schrödinger equations

Autores
Moulieras, S.; Monastra, Alejandro Gabriel; Saraceno, Marcos; Leboeuf, P.
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Coherent states play an important role in quantum mechanics because of their unique properties under time evolution. Here we explore this concept for one-dimensional repulsive nonlinear Schrödinger equations, which describe weakly interacting Bose-Einstein condensates or light propagation in a nonlinear medium. It is shown that the dynamics of phase-space translations of the ground state of a harmonic potential is quite simple: The center follows a classical trajectory whereas its shape does not vary in time. The parabolic potential is the only one that satisfies this property. We study the time evolution of these nonlinear coherent states under perturbations of their shape or of the confining potential. A rich variety of effects emerges. In particular, in the presence of anharmonicities, we observe that the packet splits into two distinct components. A fraction of the wavepacket is transferred toward incoherent high-energy modes, while the amplitude of oscillation of the remaining coherent component is damped toward the bottom of the well.
Fil: Moulieras, S.. Laboratoire Physique Theorique Et Modeles Statistique; Francia
Fil: Monastra, Alejandro Gabriel. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Saraceno, Marcos. Comisión Nacional de Energía Atómica; Argentina
Fil: Leboeuf, P.. Laboratoire Physique Theorique Et Modeles Statistique; Francia
Materia
WAVE PAQUET DYNAMICS
BOSE-EINSTEIN CONDENSATION
NON-LINEAR OPTICS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/189046
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Wave-packet dynamics in nonlinear Schrödinger equationsMoulieras, S.Monastra, Alejandro GabrielSaraceno, MarcosLeboeuf, P.WAVE PAQUET DYNAMICSBOSE-EINSTEIN CONDENSATIONNON-LINEAR OPTICShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Coherent states play an important role in quantum mechanics because of their unique properties under time evolution. Here we explore this concept for one-dimensional repulsive nonlinear Schrödinger equations, which describe weakly interacting Bose-Einstein condensates or light propagation in a nonlinear medium. It is shown that the dynamics of phase-space translations of the ground state of a harmonic potential is quite simple: The center follows a classical trajectory whereas its shape does not vary in time. The parabolic potential is the only one that satisfies this property. We study the time evolution of these nonlinear coherent states under perturbations of their shape or of the confining potential. A rich variety of effects emerges. In particular, in the presence of anharmonicities, we observe that the packet splits into two distinct components. A fraction of the wavepacket is transferred toward incoherent high-energy modes, while the amplitude of oscillation of the remaining coherent component is damped toward the bottom of the well.Fil: Moulieras, S.. Laboratoire Physique Theorique Et Modeles Statistique; FranciaFil: Monastra, Alejandro Gabriel. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Saraceno, Marcos. Comisión Nacional de Energía Atómica; ArgentinaFil: Leboeuf, P.. Laboratoire Physique Theorique Et Modeles Statistique; FranciaAmerican Physical Society2012-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/189046Moulieras, S.; Monastra, Alejandro Gabriel; Saraceno, Marcos; Leboeuf, P.; Wave-packet dynamics in nonlinear Schrödinger equations; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 85; 1; 1-2012; 1-91050-2947CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://pra.aps.org/abstract/PRA/v85/i1/e013841info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.85.013841info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:08:51Zoai:ri.conicet.gov.ar:11336/189046instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:08:51.798CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Wave-packet dynamics in nonlinear Schrödinger equations
title Wave-packet dynamics in nonlinear Schrödinger equations
spellingShingle Wave-packet dynamics in nonlinear Schrödinger equations
Moulieras, S.
WAVE PAQUET DYNAMICS
BOSE-EINSTEIN CONDENSATION
NON-LINEAR OPTICS
title_short Wave-packet dynamics in nonlinear Schrödinger equations
title_full Wave-packet dynamics in nonlinear Schrödinger equations
title_fullStr Wave-packet dynamics in nonlinear Schrödinger equations
title_full_unstemmed Wave-packet dynamics in nonlinear Schrödinger equations
title_sort Wave-packet dynamics in nonlinear Schrödinger equations
dc.creator.none.fl_str_mv Moulieras, S.
Monastra, Alejandro Gabriel
Saraceno, Marcos
Leboeuf, P.
author Moulieras, S.
author_facet Moulieras, S.
Monastra, Alejandro Gabriel
Saraceno, Marcos
Leboeuf, P.
author_role author
author2 Monastra, Alejandro Gabriel
Saraceno, Marcos
Leboeuf, P.
author2_role author
author
author
dc.subject.none.fl_str_mv WAVE PAQUET DYNAMICS
BOSE-EINSTEIN CONDENSATION
NON-LINEAR OPTICS
topic WAVE PAQUET DYNAMICS
BOSE-EINSTEIN CONDENSATION
NON-LINEAR OPTICS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Coherent states play an important role in quantum mechanics because of their unique properties under time evolution. Here we explore this concept for one-dimensional repulsive nonlinear Schrödinger equations, which describe weakly interacting Bose-Einstein condensates or light propagation in a nonlinear medium. It is shown that the dynamics of phase-space translations of the ground state of a harmonic potential is quite simple: The center follows a classical trajectory whereas its shape does not vary in time. The parabolic potential is the only one that satisfies this property. We study the time evolution of these nonlinear coherent states under perturbations of their shape or of the confining potential. A rich variety of effects emerges. In particular, in the presence of anharmonicities, we observe that the packet splits into two distinct components. A fraction of the wavepacket is transferred toward incoherent high-energy modes, while the amplitude of oscillation of the remaining coherent component is damped toward the bottom of the well.
Fil: Moulieras, S.. Laboratoire Physique Theorique Et Modeles Statistique; Francia
Fil: Monastra, Alejandro Gabriel. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Saraceno, Marcos. Comisión Nacional de Energía Atómica; Argentina
Fil: Leboeuf, P.. Laboratoire Physique Theorique Et Modeles Statistique; Francia
description Coherent states play an important role in quantum mechanics because of their unique properties under time evolution. Here we explore this concept for one-dimensional repulsive nonlinear Schrödinger equations, which describe weakly interacting Bose-Einstein condensates or light propagation in a nonlinear medium. It is shown that the dynamics of phase-space translations of the ground state of a harmonic potential is quite simple: The center follows a classical trajectory whereas its shape does not vary in time. The parabolic potential is the only one that satisfies this property. We study the time evolution of these nonlinear coherent states under perturbations of their shape or of the confining potential. A rich variety of effects emerges. In particular, in the presence of anharmonicities, we observe that the packet splits into two distinct components. A fraction of the wavepacket is transferred toward incoherent high-energy modes, while the amplitude of oscillation of the remaining coherent component is damped toward the bottom of the well.
publishDate 2012
dc.date.none.fl_str_mv 2012-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/189046
Moulieras, S.; Monastra, Alejandro Gabriel; Saraceno, Marcos; Leboeuf, P.; Wave-packet dynamics in nonlinear Schrödinger equations; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 85; 1; 1-2012; 1-9
1050-2947
CONICET Digital
CONICET
url http://hdl.handle.net/11336/189046
identifier_str_mv Moulieras, S.; Monastra, Alejandro Gabriel; Saraceno, Marcos; Leboeuf, P.; Wave-packet dynamics in nonlinear Schrödinger equations; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 85; 1; 1-2012; 1-9
1050-2947
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://pra.aps.org/abstract/PRA/v85/i1/e013841
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.85.013841
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842270059846696960
score 13.13397

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