Invariance of quantum optimal control fields to experimental parameters
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.89.043421 http://hdl.handle.net/11449/167604 |
Resumo: | We consider an ensemble of closed finite-level systems described by a density matrix where the goal is to find an optimal control field to maximize the expectation value of an observable. The eigenvalues of the initial density matrix are assumed to depend on an experimental parameter (e.g., the temperature), whereas the eigenvalues of the observable may depend on an additional application-specific experimental parameter. We show that an optimal control will remain optimal for all such experimental parameters, if the relative ordering, by magnitude, of the eigenvalues of the initial density matrix as well as of the observable is unaltered regardless of the parameter values. More generally, we show like invariance of a control associated with any particular critical point on the corresponding control landscape. The invariance of control laser fields with respect to temperature is illustrated for vibrational excitation of diatomic molecules and photoassociation of atoms. © 2014 American Physical Society. |
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Repositório Institucional da UNESP |
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Invariance of quantum optimal control fields to experimental parametersWe consider an ensemble of closed finite-level systems described by a density matrix where the goal is to find an optimal control field to maximize the expectation value of an observable. The eigenvalues of the initial density matrix are assumed to depend on an experimental parameter (e.g., the temperature), whereas the eigenvalues of the observable may depend on an additional application-specific experimental parameter. We show that an optimal control will remain optimal for all such experimental parameters, if the relative ordering, by magnitude, of the eigenvalues of the initial density matrix as well as of the observable is unaltered regardless of the parameter values. More generally, we show like invariance of a control associated with any particular critical point on the corresponding control landscape. The invariance of control laser fields with respect to temperature is illustrated for vibrational excitation of diatomic molecules and photoassociation of atoms. © 2014 American Physical Society.National Science FoundationInstituto de Geociências e Ciências Exatas, UNESP-Univ Estadual Paulista, Rio Claro, São Paulo 13506-900Department of Chemistry, Frick Laboratory, Princeton University, Princeton, NJ 08544Instituto de Geociências e Ciências Exatas, UNESP-Univ Estadual Paulista, Rio Claro, São Paulo 13506-900National Science Foundation: CHE-1058644National Science Foundation: DE-FG02-02ER15344National Science Foundation: W911NF-11-1-2068Universidade Estadual Paulista (Unesp)De Lima, Emanuel F. [UNESP]Ho, Tak-SanRabitz, Herschel2018-12-11T16:37:35Z2018-12-11T16:37:35Z2014-04-21info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1103/PhysRevA.89.043421Physical Review A - Atomic, Molecular, and Optical Physics, v. 89, n. 4, 2014.1094-16221050-2947http://hdl.handle.net/11449/16760410.1103/PhysRevA.89.0434212-s2.0-848991000492-s2.0-84899100049.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physics1,2881,288info:eu-repo/semantics/openAccess2023-12-03T06:12:01Zoai:repositorio.unesp.br:11449/167604Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:21:41.789263Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Invariance of quantum optimal control fields to experimental parameters |
title |
Invariance of quantum optimal control fields to experimental parameters |
spellingShingle |
Invariance of quantum optimal control fields to experimental parameters De Lima, Emanuel F. [UNESP] |
title_short |
Invariance of quantum optimal control fields to experimental parameters |
title_full |
Invariance of quantum optimal control fields to experimental parameters |
title_fullStr |
Invariance of quantum optimal control fields to experimental parameters |
title_full_unstemmed |
Invariance of quantum optimal control fields to experimental parameters |
title_sort |
Invariance of quantum optimal control fields to experimental parameters |
author |
De Lima, Emanuel F. [UNESP] |
author_facet |
De Lima, Emanuel F. [UNESP] Ho, Tak-San Rabitz, Herschel |
author_role |
author |
author2 |
Ho, Tak-San Rabitz, Herschel |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
De Lima, Emanuel F. [UNESP] Ho, Tak-San Rabitz, Herschel |
description |
We consider an ensemble of closed finite-level systems described by a density matrix where the goal is to find an optimal control field to maximize the expectation value of an observable. The eigenvalues of the initial density matrix are assumed to depend on an experimental parameter (e.g., the temperature), whereas the eigenvalues of the observable may depend on an additional application-specific experimental parameter. We show that an optimal control will remain optimal for all such experimental parameters, if the relative ordering, by magnitude, of the eigenvalues of the initial density matrix as well as of the observable is unaltered regardless of the parameter values. More generally, we show like invariance of a control associated with any particular critical point on the corresponding control landscape. The invariance of control laser fields with respect to temperature is illustrated for vibrational excitation of diatomic molecules and photoassociation of atoms. © 2014 American Physical Society. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-04-21 2018-12-11T16:37:35Z 2018-12-11T16:37:35Z |
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/PhysRevA.89.043421 Physical Review A - Atomic, Molecular, and Optical Physics, v. 89, n. 4, 2014. 1094-1622 1050-2947 http://hdl.handle.net/11449/167604 10.1103/PhysRevA.89.043421 2-s2.0-84899100049 2-s2.0-84899100049.pdf |
url |
http://dx.doi.org/10.1103/PhysRevA.89.043421 http://hdl.handle.net/11449/167604 |
identifier_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics, v. 89, n. 4, 2014. 1094-1622 1050-2947 10.1103/PhysRevA.89.043421 2-s2.0-84899100049 2-s2.0-84899100049.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics 1,288 1,288 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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_ |
1808129058926493696 |