Stochastic processes applied to classical physics and quantum mechanics

The dynamics in physical systems when subject to environmental fluctuations is usually described by ensemble averages, providing information on the probability of the described system to reside in a possible state. Classical description differs from quantum mechanical, since the latter includes stat...

Full description

Autores:
Caycedo Soler, Felipe
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2010
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
spa
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/7762
Acceso en línea:
http://hdl.handle.net/1992/7762
Palabra clave:
Proteobacteria
Excitones - Investigaciones
Fotosíntesis - Investigaciones
Física
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/4.0/
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dc.title.es_CO.fl_str_mv Stochastic processes applied to classical physics and quantum mechanics
title Stochastic processes applied to classical physics and quantum mechanics
spellingShingle Stochastic processes applied to classical physics and quantum mechanics
Proteobacteria
Excitones - Investigaciones
Fotosíntesis - Investigaciones
Física
title_short Stochastic processes applied to classical physics and quantum mechanics
title_full Stochastic processes applied to classical physics and quantum mechanics
title_fullStr Stochastic processes applied to classical physics and quantum mechanics
title_full_unstemmed Stochastic processes applied to classical physics and quantum mechanics
title_sort Stochastic processes applied to classical physics and quantum mechanics
dc.creator.fl_str_mv Caycedo Soler, Felipe
dc.contributor.advisor.none.fl_str_mv Rodríguez Dueñas, Ferney Javier
dc.contributor.author.none.fl_str_mv Caycedo Soler, Felipe
dc.subject.keyword.es_CO.fl_str_mv Proteobacteria
Excitones - Investigaciones
Fotosíntesis - Investigaciones
topic Proteobacteria
Excitones - Investigaciones
Fotosíntesis - Investigaciones
Física
dc.subject.themes.none.fl_str_mv Física
description The dynamics in physical systems when subject to environmental fluctuations is usually described by ensemble averages, providing information on the probability of the described system to reside in a possible state. Classical description differs from quantum mechanical, since the latter includes state superpositions. However, the progression among both remains a subject of current research, and the investigation beyond averages, concerning the distributions upon which they are calculated, can unveil the features involved in quantum-to-classical descriptions. Without loosing sight on the optics-matter interaction involved in photosynthetic membranes, the quantum realm is studied with use of stochastic realizations for the description of photon time traces from fluorescent quantum multilevel systems, consistent with continous monitoring of the quantized surrounding electromagnetic field. We study non-renewal statistics, happening when a fluorescent system maintains information of its state after photon detection occurs. When a process is renewal, the distribution of consecutive inter-photon times factors out, and allows quantification of memory after photon detection, relying in the moments of inter-photon distributions. We study the feasibility to experimental verify this measure. Finally, physical realizations show that quantum systems are vulnerable to ensemble averaging. In particular, it is shown that entanglement is modeled on equal footing in very different systems at the level of a density operator due to the averaging effect, and that at such resolution, a prediction of quantum correlations is in general, misleading. Continuous environmental observation is shown to lift this ambiguity, while opens the possibility to witness entanglement on situations where the ensemble averaged state predict none. It is shown that entanglement can be experimentally verified there when none is expected from mixed state available measure, or enhanced by ?decoherent? mechanisms and witnessed through observables when pure dephasing is involved.The quantum-classical middle realm investigated in photosynthesis will provide insight on this progression and on the consequences of quantum properties at macroscopic scale
publishDate 2010
dc.date.issued.none.fl_str_mv 2010
dc.date.accessioned.none.fl_str_mv 2018-09-27T16:37:57Z
dc.date.available.none.fl_str_mv 2018-09-27T16:37:57Z
dc.type.spa.fl_str_mv Trabajo de grado - Doctorado
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dc.publisher.program.es_CO.fl_str_mv Doctorado en Ciencias - Física
dc.publisher.faculty.es_CO.fl_str_mv Facultad de Ciencias
dc.publisher.department.es_CO.fl_str_mv Departamento de Física
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spelling Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Rodríguez Dueñas, Ferney Javiervirtual::10218-1Caycedo Soler, Felipe5aba6d79-098e-4b05-bba4-8fdaa1961db85002018-09-27T16:37:57Z2018-09-27T16:37:57Z2010http://hdl.handle.net/1992/776210.57784/1992/7762u429262.pdfinstname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/The dynamics in physical systems when subject to environmental fluctuations is usually described by ensemble averages, providing information on the probability of the described system to reside in a possible state. Classical description differs from quantum mechanical, since the latter includes state superpositions. However, the progression among both remains a subject of current research, and the investigation beyond averages, concerning the distributions upon which they are calculated, can unveil the features involved in quantum-to-classical descriptions. Without loosing sight on the optics-matter interaction involved in photosynthetic membranes, the quantum realm is studied with use of stochastic realizations for the description of photon time traces from fluorescent quantum multilevel systems, consistent with continous monitoring of the quantized surrounding electromagnetic field. We study non-renewal statistics, happening when a fluorescent system maintains information of its state after photon detection occurs. When a process is renewal, the distribution of consecutive inter-photon times factors out, and allows quantification of memory after photon detection, relying in the moments of inter-photon distributions. We study the feasibility to experimental verify this measure. Finally, physical realizations show that quantum systems are vulnerable to ensemble averaging. In particular, it is shown that entanglement is modeled on equal footing in very different systems at the level of a density operator due to the averaging effect, and that at such resolution, a prediction of quantum correlations is in general, misleading. Continuous environmental observation is shown to lift this ambiguity, while opens the possibility to witness entanglement on situations where the ensemble averaged state predict none. It is shown that entanglement can be experimentally verified there when none is expected from mixed state available measure, or enhanced by ?decoherent? mechanisms and witnessed through observables when pure dephasing is involved.The quantum-classical middle realm investigated in photosynthesis will provide insight on this progression and on the consequences of quantum properties at macroscopic scaleDoctor en Ciencias - FísicaDoctorado190 hojasapplication/pdfspaUniandesDoctorado en Ciencias - FísicaFacultad de CienciasDepartamento de Físicainstname:Universidad de los Andesreponame:Repositorio Institucional SénecaStochastic processes applied to classical physics and quantum mechanicsTrabajo de grado - Doctoradoinfo:eu-repo/semantics/doctoralThesishttp://purl.org/coar/resource_type/c_db06http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/TDProteobacteriaExcitones - InvestigacionesFotosíntesis - InvestigacionesFísicaPublication0000-0001-5383-4218virtual::10218-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000077216virtual::10218-1e30cee58-f835-4d1b-97c9-3146b481c8b1virtual::10218-1e30cee58-f835-4d1b-97c9-3146b481c8b1virtual::10218-1TEXTu429262.pdf.txtu429262.pdf.txtExtracted texttext/plain365624https://repositorio.uniandes.edu.co/bitstreams/d745dac5-a6e1-433c-a9ed-d1499a299e08/download9e041c36749b011f97ec658f7a902b84MD54ORIGINALu429262.pdfapplication/pdf12348250https://repositorio.uniandes.edu.co/bitstreams/f37d1897-33cc-4120-9100-4a58f1566839/downloadccbebf1227e3479061d1190e10c44542MD51THUMBNAILu429262.pdf.jpgu429262.pdf.jpgIM Thumbnailimage/jpeg4937https://repositorio.uniandes.edu.co/bitstreams/9b6ceb86-ecec-4128-a9a8-5f09c2b1ee4f/download0192136f468312f87254ba6f228c05acMD551992/7762oai:repositorio.uniandes.edu.co:1992/77622024-08-26 15:24:00.586http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co