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
- https://creativecommons.org/licenses/by-nc-sa/4.0/
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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.contributor.researchgroup.spa.fl_str_mv |
Grupo de Física Teórica y Matemática Aplicada |
| 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 |
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Tesis/Trabajo de grado - Monografía - Doctorado |
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http://purl.org/coar/resource_type/c_db06 |
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http://purl.org/coar/version/c_b1a7d7d4d402bcce |
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info:eu-repo/semantics/doctoralThesis |
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http://hdl.handle.net/10495/27335 |
| url |
http://hdl.handle.net/10495/27335 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
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https://creativecommons.org/licenses/by-nc-sa/4.0/ |
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http://creativecommons.org/licenses/by-nc-sa/2.5/co/ |
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Universidad de Antioquia |
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Medellín, Colombia |
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Facultad de Ciencias Exactas y Naturales. Doctorado en Física |
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Pachón Contreras, Leonardo AugustoTriviño Navarro, HumbertoGrupo de Física Teórica y Matemática Aplicada2022-04-06T14:05:45Z2022-04-06T14:05:45Z2022http://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.DoctoradoDoctor en Física102application/pdfengUniversidad de AntioquiaMedellín, ColombiaFacultad de Ciencias Exactas y Naturales. Doctorado en Físicahttps://creativecommons.org/licenses/by-nc-sa/4.0/http://creativecommons.org/licenses/by-nc-sa/2.5/co/info:eu-repo/semantics/embargoedAccessAtribución-NoComercial-CompartirIgual 2.5 Colombia (CC BY-NC-SA 2.5 CO)http://purl.org/coar/access_right/c_f1cfQuantum 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 systemsTesis/Trabajo de grado - Monografía - Doctoradohttp://purl.org/coar/resource_type/c_db06https://purl.org/redcol/resource_type/TDhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/draftPublicationORIGINALTriviñoHumberto_2022_ExperimentallyQuantumSystems.pdfTriviñoHumberto_2022_ExperimentallyQuantumSystems.pdfTesis doctoralapplication/pdf1738351https://bibliotecadigital.udea.edu.co/bitstreams/7e4a9b03-8491-4a38-80ec-c5425ce03bd2/download5cf4c564a91e2c701b1debeddd08a187MD51trueAnonymousREAD2022-07-31CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81051https://bibliotecadigital.udea.edu.co/bitstreams/9679cd95-113c-4ead-9728-a9a0f98fe91f/downloade2060682c9c70d4d30c83c51448f4eedMD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/5ec25a58-7615-4885-929e-73a972c99349/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADTEXTTriviñoHumberto_2022_ExperimentallyQuantumSystems.pdf.txtTriviñoHumberto_2022_ExperimentallyQuantumSystems.pdf.txtExtracted texttext/plain111720https://bibliotecadigital.udea.edu.co/bitstreams/45def394-97aa-424d-9d6c-2190f907c4a9/downloadc7918d2e6a836c8ddb6e9104334c30c7MD58falseAnonymousREAD2022-07-31THUMBNAILTriviñoHumberto_2022_ExperimentallyQuantumSystems.pdf.jpgTriviñoHumberto_2022_ExperimentallyQuantumSystems.pdf.jpgGenerated Thumbnailimage/jpeg7840https://bibliotecadigital.udea.edu.co/bitstreams/b9f0ac01-2b4a-4ec0-bd0e-7adbb98b32ca/download3eec39eb496e9175f534c424e5a950d8MD59falseAnonymousREAD2022-07-3110495/27335oai:bibliotecadigital.udea.edu.co:10495/273352025-03-26 17:10:46.415https://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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 |