Lagrangian descriptor and escape time as tools to investigate the dynamics of laser-driven polar molecules
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevE.107.024209 http://hdl.handle.net/11449/248378 |
Resumo: | We consider the nonlinear dynamics of a diatomic polar molecule under a linearly polarized laser field. We assume a model in which the molecule dipole is coupled with a time-dependent electric field. This system presents a bound energy region where the atoms are bound, and a free-energy region where the atoms are dissociated. Due to the nonalignment between the dipole axis and the laser direction, and the time dependence of the external field, this system presents two and a half degrees of freedom, namely the vibrational degree, the rotation degree, and the time. To investigate the system dynamics, instead of using the Poincaré surface-of-section technique, we propose the use of the Lagrangian descriptor associated with the escape times. The Lagrangian descriptor is a quantity that reveals complex structures in the phase space, whereas the escape times are the time span in which a trajectory is initially in the bound region before escaping to the unbound region. The combination of these two quantities allows us to distinguish between real stability regions from other complex structures, including stickiness regions, and a different formation, which we call escape islands. With the help of these tools, we find that for high-field amplitudes the inclusion of rotation leads to an increase of the stability regions, which implies a decrease of the dissociation in comparison with the one-dimensional case. |
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Lagrangian descriptor and escape time as tools to investigate the dynamics of laser-driven polar moleculesWe consider the nonlinear dynamics of a diatomic polar molecule under a linearly polarized laser field. We assume a model in which the molecule dipole is coupled with a time-dependent electric field. This system presents a bound energy region where the atoms are bound, and a free-energy region where the atoms are dissociated. Due to the nonalignment between the dipole axis and the laser direction, and the time dependence of the external field, this system presents two and a half degrees of freedom, namely the vibrational degree, the rotation degree, and the time. To investigate the system dynamics, instead of using the Poincaré surface-of-section technique, we propose the use of the Lagrangian descriptor associated with the escape times. The Lagrangian descriptor is a quantity that reveals complex structures in the phase space, whereas the escape times are the time span in which a trajectory is initially in the bound region before escaping to the unbound region. The combination of these two quantities allows us to distinguish between real stability regions from other complex structures, including stickiness regions, and a different formation, which we call escape islands. With the help of these tools, we find that for high-field amplitudes the inclusion of rotation leads to an increase of the stability regions, which implies a decrease of the dissociation in comparison with the one-dimensional case.Universidade Estadual Paulista-UNESP Instituto de Geociências e Ciências Exatas-IGCE Departamento de Estatística Matemática Aplicada e Ciências da Computação, SPDepartamento de Física Universidade Federal de São Carlos, SPUniversidade Estadual Paulista-UNESP Instituto de Geociências e Ciências Exatas-IGCE Departamento de Estatística Matemática Aplicada e Ciências da Computação, SPUniversidade Estadual Paulista (UNESP)Universidade Federal de São Carlos (UFSCar)Forlevesi, M. D. [UNESP]Egydio De Carvalho, R. [UNESP]De Lima, Emanuel F.2023-07-29T13:42:20Z2023-07-29T13:42:20Z2023-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevE.107.024209Physical Review E, v. 107, n. 2, 2023.2470-00532470-0045http://hdl.handle.net/11449/24837810.1103/PhysRevE.107.0242092-s2.0-85148333437Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Einfo:eu-repo/semantics/openAccess2023-07-29T13:42:20Zoai:repositorio.unesp.br:11449/248378Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:59:42.763444Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Lagrangian descriptor and escape time as tools to investigate the dynamics of laser-driven polar molecules |
title |
Lagrangian descriptor and escape time as tools to investigate the dynamics of laser-driven polar molecules |
spellingShingle |
Lagrangian descriptor and escape time as tools to investigate the dynamics of laser-driven polar molecules Forlevesi, M. D. [UNESP] |
title_short |
Lagrangian descriptor and escape time as tools to investigate the dynamics of laser-driven polar molecules |
title_full |
Lagrangian descriptor and escape time as tools to investigate the dynamics of laser-driven polar molecules |
title_fullStr |
Lagrangian descriptor and escape time as tools to investigate the dynamics of laser-driven polar molecules |
title_full_unstemmed |
Lagrangian descriptor and escape time as tools to investigate the dynamics of laser-driven polar molecules |
title_sort |
Lagrangian descriptor and escape time as tools to investigate the dynamics of laser-driven polar molecules |
author |
Forlevesi, M. D. [UNESP] |
author_facet |
Forlevesi, M. D. [UNESP] Egydio De Carvalho, R. [UNESP] De Lima, Emanuel F. |
author_role |
author |
author2 |
Egydio De Carvalho, R. [UNESP] De Lima, Emanuel F. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universidade Federal de São Carlos (UFSCar) |
dc.contributor.author.fl_str_mv |
Forlevesi, M. D. [UNESP] Egydio De Carvalho, R. [UNESP] De Lima, Emanuel F. |
description |
We consider the nonlinear dynamics of a diatomic polar molecule under a linearly polarized laser field. We assume a model in which the molecule dipole is coupled with a time-dependent electric field. This system presents a bound energy region where the atoms are bound, and a free-energy region where the atoms are dissociated. Due to the nonalignment between the dipole axis and the laser direction, and the time dependence of the external field, this system presents two and a half degrees of freedom, namely the vibrational degree, the rotation degree, and the time. To investigate the system dynamics, instead of using the Poincaré surface-of-section technique, we propose the use of the Lagrangian descriptor associated with the escape times. The Lagrangian descriptor is a quantity that reveals complex structures in the phase space, whereas the escape times are the time span in which a trajectory is initially in the bound region before escaping to the unbound region. The combination of these two quantities allows us to distinguish between real stability regions from other complex structures, including stickiness regions, and a different formation, which we call escape islands. With the help of these tools, we find that for high-field amplitudes the inclusion of rotation leads to an increase of the stability regions, which implies a decrease of the dissociation in comparison with the one-dimensional case. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-07-29T13:42:20Z 2023-07-29T13:42:20Z 2023-02-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevE.107.024209 Physical Review E, v. 107, n. 2, 2023. 2470-0053 2470-0045 http://hdl.handle.net/11449/248378 10.1103/PhysRevE.107.024209 2-s2.0-85148333437 |
url |
http://dx.doi.org/10.1103/PhysRevE.107.024209 http://hdl.handle.net/11449/248378 |
identifier_str_mv |
Physical Review E, v. 107, n. 2, 2023. 2470-0053 2470-0045 10.1103/PhysRevE.107.024209 2-s2.0-85148333437 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review E |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129479670759424 |