Entropic Characterization of Quantum States with Maximal Evolution under Given Energy Constraints

A measure D[t1, t2] for the amount of dynamical evolution exhibited by a quantum system during a time interval [t1, t2] is defined in terms of how distinguishable from each other are, on average, the states of the system at different times. We investigate some properties of the measure D showing tha...

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Detalles Bibliográficos
Autores: Majtey, Ana P., Valdés Hernández, Andrea, Maglione, César G., Plastino, Ángel Ricardo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Argentina
Institución:Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
Repositorio:CIC Digital (CICBA)
Idioma:inglés
OAI Identifier:oai:digital.cic.gba.gob.ar:11746/11966
Acceso en línea:https://digital.cic.gba.gob.ar/handle/11746/11966
Access Level:acceso abierto
Palabra clave:Ciencias Naturales y Exactas
quantum evolution
distinguishability of quantum states
maximum entropy
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spelling Entropic Characterization of Quantum States with Maximal Evolution under Given Energy ConstraintsMajtey, Ana P.Valdés Hernández, AndreaMaglione, César G.Plastino, Ángel RicardoCiencias Naturales y Exactasquantum evolutiondistinguishability of quantum statesmaximum entropyA measure D[t1, t2] for the amount of dynamical evolution exhibited by a quantum system during a time interval [t1, t2] is defined in terms of how distinguishable from each other are, on average, the states of the system at different times. We investigate some properties of the measure D showing that, for increasing values of the interval’s duration, the measure quickly reaches an asymptotic value given by the linear entropy of the energy distribution associated with the system’s (pure) quantum state. This leads to the formulation of an entropic variational problem characterizing the quantum states that exhibit the largest amount of dynamical evolution under energy constraints given by the expectation value of the energy.2019-08-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttps://digital.cic.gba.gob.ar/handle/11746/11966enginfo:eu-repo/semantics/altIdentifier/doi/10.3390/e21080770info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/reponame:CIC Digital (CICBA)instname:Comisión de Investigaciones Científicas de la Provincia de Buenos Airesinstacron:CICBA2024-05-10T10:39:12Zoai:digital.cic.gba.gob.ar:11746/11966Institucionalhttp://digital.cic.gba.gob.arOrganismo científico-tecnológicoNo correspondehttp://digital.cic.gba.gob.ar/oai/snrdmarisa.degiusti@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:94412024-05-10 10:39:12.687CIC Digital (CICBA) - Comisión de Investigaciones Científicas de la Provincia de Buenos Airesfalse
dc.title.none.fl_str_mv Entropic Characterization of Quantum States with Maximal Evolution under Given Energy Constraints
title Entropic Characterization of Quantum States with Maximal Evolution under Given Energy Constraints
spellingShingle Entropic Characterization of Quantum States with Maximal Evolution under Given Energy Constraints
Majtey, Ana P.
Ciencias Naturales y Exactas
quantum evolution
distinguishability of quantum states
maximum entropy
title_short Entropic Characterization of Quantum States with Maximal Evolution under Given Energy Constraints
title_full Entropic Characterization of Quantum States with Maximal Evolution under Given Energy Constraints
title_fullStr Entropic Characterization of Quantum States with Maximal Evolution under Given Energy Constraints
title_full_unstemmed Entropic Characterization of Quantum States with Maximal Evolution under Given Energy Constraints
title_sort Entropic Characterization of Quantum States with Maximal Evolution under Given Energy Constraints
dc.creator.none.fl_str_mv Majtey, Ana P.
Valdés Hernández, Andrea
Maglione, César G.
Plastino, Ángel Ricardo
author Majtey, Ana P.
author_facet Majtey, Ana P.
Valdés Hernández, Andrea
Maglione, César G.
Plastino, Ángel Ricardo
author_role author
author2 Valdés Hernández, Andrea
Maglione, César G.
Plastino, Ángel Ricardo
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Naturales y Exactas
quantum evolution
distinguishability of quantum states
maximum entropy
topic Ciencias Naturales y Exactas
quantum evolution
distinguishability of quantum states
maximum entropy
description A measure D[t1, t2] for the amount of dynamical evolution exhibited by a quantum system during a time interval [t1, t2] is defined in terms of how distinguishable from each other are, on average, the states of the system at different times. We investigate some properties of the measure D showing that, for increasing values of the interval’s duration, the measure quickly reaches an asymptotic value given by the linear entropy of the energy distribution associated with the system’s (pure) quantum state. This leads to the formulation of an entropic variational problem characterizing the quantum states that exhibit the largest amount of dynamical evolution under energy constraints given by the expectation value of the energy.
publishDate 2019
dc.date.none.fl_str_mv 2019-08-07
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 https://digital.cic.gba.gob.ar/handle/11746/11966
url https://digital.cic.gba.gob.ar/handle/11746/11966
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3390/e21080770
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:CIC Digital (CICBA)
instname:Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
instacron:CICBA
instname_str Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
instacron_str CICBA
institution CICBA
reponame_str CIC Digital (CICBA)
collection CIC Digital (CICBA)
repository.name.fl_str_mv CIC Digital (CICBA) - Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
repository.mail.fl_str_mv marisa.degiusti@sedici.unlp.edu.ar
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