Experimentally accessible measure to quantify the non-Markovian character of the dynamics of open quantum systems

ABSTRACT: We use the divisibility approach to describe non-Markovian dynamics (memory effects) in open quantum systems coupled to an environment (reservoir). Specifically, sufficient and necessary criteria were incorporated in the energy domain that play a relevant role in dynamics of the system. In...

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Autores:
Triviño Navarro, Humberto
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2022
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/27335
Acceso en línea:
http://hdl.handle.net/10495/27335
Palabra clave:
Quantum systems
Open systems (Physics)
Markov processes
Stochastic processes
Sistemas abiertos (Física)
Procesos estocásticos
No markovianidad
http://id.loc.gov/authorities/subjects/sh2013002642
http://id.loc.gov/authorities/subjects/sh85094897
http://id.loc.gov/authorities/subjects/sh85081369
http://id.loc.gov/authorities/subjects/sh85128181
Rights
embargoedAccess
License
Atribución-NoComercial-CompartirIgual 2.5 Colombia (CC BY-NC-SA 2.5 CO)
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network_acronym_str UDEA2
network_name_str Repositorio UdeA
repository_id_str
dc.title.spa.fl_str_mv Experimentally accessible measure to quantify the non-Markovian character of the dynamics of open quantum systems
title Experimentally accessible measure to quantify the non-Markovian character of the dynamics of open quantum systems
spellingShingle Experimentally accessible measure to quantify the non-Markovian character of the dynamics of open quantum systems
Quantum systems
Open systems (Physics)
Markov processes
Stochastic processes
Sistemas abiertos (Física)
Procesos estocásticos
No markovianidad
http://id.loc.gov/authorities/subjects/sh2013002642
http://id.loc.gov/authorities/subjects/sh85094897
http://id.loc.gov/authorities/subjects/sh85081369
http://id.loc.gov/authorities/subjects/sh85128181
title_short Experimentally accessible measure to quantify the non-Markovian character of the dynamics of open quantum systems
title_full Experimentally accessible measure to quantify the non-Markovian character of the dynamics of open quantum systems
title_fullStr Experimentally accessible measure to quantify the non-Markovian character of the dynamics of open quantum systems
title_full_unstemmed Experimentally accessible measure to quantify the non-Markovian character of the dynamics of open quantum systems
title_sort Experimentally accessible measure to quantify the non-Markovian character of the dynamics of open quantum systems
dc.creator.fl_str_mv Triviño Navarro, Humberto
dc.contributor.advisor.none.fl_str_mv Pachón Contreras, Leonardo Augusto
dc.contributor.author.none.fl_str_mv Triviño Navarro, Humberto
dc.subject.lcsh.none.fl_str_mv Quantum systems
Open systems (Physics)
Markov processes
Stochastic processes
topic Quantum systems
Open systems (Physics)
Markov processes
Stochastic processes
Sistemas abiertos (Física)
Procesos estocásticos
No markovianidad
http://id.loc.gov/authorities/subjects/sh2013002642
http://id.loc.gov/authorities/subjects/sh85094897
http://id.loc.gov/authorities/subjects/sh85081369
http://id.loc.gov/authorities/subjects/sh85128181
dc.subject.lemb.none.fl_str_mv Sistemas abiertos (Física)
Procesos estocásticos
dc.subject.proposal.spa.fl_str_mv No markovianidad
dc.subject.lcshuri.none.fl_str_mv http://id.loc.gov/authorities/subjects/sh2013002642
http://id.loc.gov/authorities/subjects/sh85094897
http://id.loc.gov/authorities/subjects/sh85081369
http://id.loc.gov/authorities/subjects/sh85128181
description ABSTRACT: We use the divisibility approach to describe non-Markovian dynamics (memory effects) in open quantum systems coupled to an environment (reservoir). Specifically, sufficient and necessary criteria were incorporated in the energy domain that play a relevant role in dynamics of the system. In this case, we adopt the Feshbach partition in the space of (Hilbert-Liouville). On the other hand, to investigate both Markovianity and non-Markovianity, we study the divisibility of the Wigner function propagator. For this, within the framework of path integrals, we carry out an analysis of non-classical paths in phase space. Furthermore, we have used tools of topology to propose theorems intimately related to measures of non-Markovianity that are experementally accessible.
publishDate 2022
dc.date.accessioned.none.fl_str_mv 2022-04-06T14:05:45Z
dc.date.available.none.fl_str_mv 2022-04-06T14:05:45Z
dc.date.issued.none.fl_str_mv 2022
dc.type.spa.fl_str_mv info:eu-repo/semantics/doctoralThesis
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.hasversion.spa.fl_str_mv info:eu-repo/semantics/draft
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_db06
dc.type.redcol.spa.fl_str_mv https://purl.org/redcol/resource_type/TD
dc.type.local.spa.fl_str_mv Tesis/Trabajo de grado - Monografía - Doctorado
format http://purl.org/coar/resource_type/c_db06
status_str draft
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10495/27335
url http://hdl.handle.net/10495/27335
dc.language.iso.spa.fl_str_mv eng
language eng
dc.rights.spa.fl_str_mv info:eu-repo/semantics/embargoedAccess
dc.rights.*.fl_str_mv Atribución-NoComercial-CompartirIgual 2.5 Colombia (CC BY-NC-SA 2.5 CO)
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rights_invalid_str_mv Atribución-NoComercial-CompartirIgual 2.5 Colombia (CC BY-NC-SA 2.5 CO)
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dc.format.extent.spa.fl_str_mv 102
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.group.spa.fl_str_mv Grupo de Física Teórica y Matemática Aplicada
dc.publisher.place.spa.fl_str_mv Medellín, Colombia
institution Universidad de Antioquia
bitstream.url.fl_str_mv http://bibliotecadigital.udea.edu.co/bitstream/10495/27335/1/Trivi%c3%b1oHumberto_2022_ExperimentallyQuantumSystems.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad de Antioquia
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spelling Pachón Contreras, Leonardo AugustoTriviño Navarro, Humberto2022-04-06T14:05:45Z2022-04-06T14:05:45Z2022http://hdl.handle.net/10495/27335ABSTRACT: We use the divisibility approach to describe non-Markovian dynamics (memory effects) in open quantum systems coupled to an environment (reservoir). Specifically, sufficient and necessary criteria were incorporated in the energy domain that play a relevant role in dynamics of the system. In this case, we adopt the Feshbach partition in the space of (Hilbert-Liouville). On the other hand, to investigate both Markovianity and non-Markovianity, we study the divisibility of the Wigner function propagator. For this, within the framework of path integrals, we carry out an analysis of non-classical paths in phase space. Furthermore, we have used tools of topology to propose theorems intimately related to measures of non-Markovianity that are experementally accessible.102application/pdfenginfo:eu-repo/semantics/draftinfo:eu-repo/semantics/doctoralThesishttp://purl.org/coar/resource_type/c_db06https://purl.org/redcol/resource_type/TDTesis/Trabajo de grado - Monografía - Doctoradohttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/embargoedAccessAtribución-NoComercial-CompartirIgual 2.5 Colombia (CC BY-NC-SA 2.5 CO)http://creativecommons.org/licenses/by-nc-sa/2.5/co/http://purl.org/coar/access_right/c_f1cfhttps://creativecommons.org/licenses/by-nc-sa/4.0/Quantum systemsOpen systems (Physics)Markov processesStochastic processesSistemas abiertos (Física)Procesos estocásticosNo markovianidadhttp://id.loc.gov/authorities/subjects/sh2013002642http://id.loc.gov/authorities/subjects/sh85094897http://id.loc.gov/authorities/subjects/sh85081369http://id.loc.gov/authorities/subjects/sh85128181Experimentally accessible measure to quantify the non-Markovian character of the dynamics of open quantum systemsGrupo de Física Teórica y Matemática AplicadaMedellín, ColombiaDoctor en FísicaDoctoradoFacultad de Ciencias Exactas y Naturales. Doctorado en FísicaUniversidad de AntioquiaORIGINALTriviñoHumberto_2022_ExperimentallyQuantumSystems.pdfTriviñoHumberto_2022_ExperimentallyQuantumSystems.pdfTesis doctoralapplication/pdf1738351http://bibliotecadigital.udea.edu.co/bitstream/10495/27335/1/Trivi%c3%b1oHumberto_2022_ExperimentallyQuantumSystems.pdf5cf4c564a91e2c701b1debeddd08a187MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81051http://bibliotecadigital.udea.edu.co/bitstream/10495/27335/2/license_rdfe2060682c9c70d4d30c83c51448f4eedMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://bibliotecadigital.udea.edu.co/bitstream/10495/27335/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD5310495/27335oai:bibliotecadigital.udea.edu.co:10495/273352022-04-06 13:34:25.854Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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