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...
- 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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UDEA2 |
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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) |
dc.rights.uri.*.fl_str_mv |
http://creativecommons.org/licenses/by-nc-sa/2.5/co/ |
dc.rights.accessrights.spa.fl_str_mv |
http://purl.org/coar/access_right/c_f1cf |
dc.rights.creativecommons.spa.fl_str_mv |
https://creativecommons.org/licenses/by-nc-sa/4.0/ |
eu_rights_str_mv |
embargoedAccess |
rights_invalid_str_mv |
Atribución-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_f1cf https://creativecommons.org/licenses/by-nc-sa/4.0/ |
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 http://bibliotecadigital.udea.edu.co/bitstream/10495/27335/2/license_rdf http://bibliotecadigital.udea.edu.co/bitstream/10495/27335/3/license.txt |
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bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
repository.name.fl_str_mv |
Repositorio Institucional Universidad de Antioquia |
repository.mail.fl_str_mv |
andres.perez@udea.edu.co |
_version_ |
1812173076103692288 |
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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 |