Quantum szilard engines and breakdown of adiabaticity

Recent advances in experimental control over mesoscopic systems through optical trapping techniques have led to a renewed theoretical interest in the study of thermodynamic properties at small scales (Takahiro Sagawa and Sano, 2010) (Martínez et al., 2016). In this context, several works have stumbl...

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Autores:
Méndez Valderrama, Juan Felipe
Tipo de recurso:
Fecha de publicación:
2018
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/34705
Acceso en línea:
http://hdl.handle.net/1992/34705
Palabra clave:
Física cuántica - Investigaciones
Termodinámica - 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 Quantum szilard engines and breakdown of adiabaticity
title Quantum szilard engines and breakdown of adiabaticity
spellingShingle Quantum szilard engines and breakdown of adiabaticity
Física cuántica - Investigaciones
Termodinámica - Investigaciones
Física
title_short Quantum szilard engines and breakdown of adiabaticity
title_full Quantum szilard engines and breakdown of adiabaticity
title_fullStr Quantum szilard engines and breakdown of adiabaticity
title_full_unstemmed Quantum szilard engines and breakdown of adiabaticity
title_sort Quantum szilard engines and breakdown of adiabaticity
dc.creator.fl_str_mv Méndez Valderrama, Juan Felipe
dc.contributor.advisor.none.fl_str_mv Téllez Acosta, Gabriel
dc.contributor.author.none.fl_str_mv Méndez Valderrama, Juan Felipe
dc.contributor.jury.none.fl_str_mv Botero Mejía, Alonso
Rodríguez Parrondo, Juan Manuel
dc.subject.keyword.es_CO.fl_str_mv Física cuántica - Investigaciones
Termodinámica - Investigaciones
topic Física cuántica - Investigaciones
Termodinámica - Investigaciones
Física
dc.subject.themes.none.fl_str_mv Física
description Recent advances in experimental control over mesoscopic systems through optical trapping techniques have led to a renewed theoretical interest in the study of thermodynamic properties at small scales (Takahiro Sagawa and Sano, 2010) (Martínez et al., 2016). In this context, several works have stumbled upon seeming violations of the minimal work principle that revealed an intricate relationship between thermodynamics and information processing (Parrondo, Horowitz, and Sagawa, 2015) (Crooks, 1999). A recurrent model that displays these violations is the microcanonical Szilard engine from which one can, in principle, extract work without the need of a thermal reservoir (Parrondo, Horowitz, and Sagawa, 2015) (Jarzynski, 2013). The present thesis reviews some of the latest theoretical efforts to understand these systems and seeks to advance the discussion by studying quantum versions of the microcanonical engines. We report that by operating these engines adiabatically, work extraction is not feasible. However, by inducing diabatic transitions in the system, it is possible to create superpositions with an average energy lower than that of the initial state. Moreover, there is a range of operation times for which the system can almost achieve maximal performance, i.e., a transition to the ground state.
publishDate 2018
dc.date.issued.none.fl_str_mv 2018
dc.date.accessioned.none.fl_str_mv 2020-06-10T09:17:43Z
dc.date.available.none.fl_str_mv 2020-06-10T09:17:43Z
dc.type.spa.fl_str_mv Trabajo de grado - Maestría
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dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/1992/34705
dc.identifier.pdf.none.fl_str_mv u808329.pdf
dc.identifier.instname.spa.fl_str_mv instname:Universidad de los Andes
dc.identifier.reponame.spa.fl_str_mv reponame:Repositorio Institucional Séneca
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identifier_str_mv u808329.pdf
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dc.language.iso.es_CO.fl_str_mv eng
language eng
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eu_rights_str_mv openAccess
dc.format.extent.es_CO.fl_str_mv 71 hojas
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dc.publisher.es_CO.fl_str_mv Uniandes
dc.publisher.program.es_CO.fl_str_mv Maestría 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_abf2Téllez Acosta, Gabrielce6d43a2-90b6-4ec6-8c19-d3cc782c25b9500Méndez Valderrama, Juan Felipe94d0afbe-db6b-4623-81a6-b15ee524b60f500Botero Mejía, AlonsoRodríguez Parrondo, Juan Manuel2020-06-10T09:17:43Z2020-06-10T09:17:43Z2018http://hdl.handle.net/1992/34705u808329.pdfinstname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/Recent advances in experimental control over mesoscopic systems through optical trapping techniques have led to a renewed theoretical interest in the study of thermodynamic properties at small scales (Takahiro Sagawa and Sano, 2010) (Martínez et al., 2016). In this context, several works have stumbled upon seeming violations of the minimal work principle that revealed an intricate relationship between thermodynamics and information processing (Parrondo, Horowitz, and Sagawa, 2015) (Crooks, 1999). A recurrent model that displays these violations is the microcanonical Szilard engine from which one can, in principle, extract work without the need of a thermal reservoir (Parrondo, Horowitz, and Sagawa, 2015) (Jarzynski, 2013). The present thesis reviews some of the latest theoretical efforts to understand these systems and seeks to advance the discussion by studying quantum versions of the microcanonical engines. We report that by operating these engines adiabatically, work extraction is not feasible. However, by inducing diabatic transitions in the system, it is possible to create superpositions with an average energy lower than that of the initial state. Moreover, there is a range of operation times for which the system can almost achieve maximal performance, i.e., a transition to the ground state.Avances recientes en técnicas de atrapamiento óptico para el control experimental de sistemas mesoscópicos han llevado a un resurgimiento del interés teórico en el estudio de propiedades termodinámicas a escalas pequeñas (Takahiro Sagawa and Sano, 2010) (Martínez et al., 2016). En este contexto, varios trabajos han encontrado violaciones aparentes al principio de mínimo trabajo que revelan una relación estrecha entre termodinámica y procesamiento de información (Parrondo, Horowitz, and Sagawa, 2015) (Crooks, 1999). Un modelo recurrente que muestra estas violaciones es el motor microcanónico de Szilard del se que puede, en principio, extraer trabajo sin necesidad de un reservorio térmico (Parrondo, Horowitz, and Sagawa, 2015) (Jarzynski, 2013). En esta tésis se hace un recuento de los últimos avances teóricos que pretenden entender estos sistemas y se busca avanzar la discusión estudiando versiones cuánticas de los motores microcanónicos. Reportamos que al operar estos motores de manera adiabática, la extracción de trabajo no es fesíble. Sin embargo, al introducir transiciones diabáticas en el sistema, es posible crear superposiciones con una energía menor que la del estado inicial. Adicionalmente, hay un rango de tiempos de operación para los cuales el sistema puede casi alcanzar un rendimiento máximo, i.e., una transición al estado base.Magíster en FísicaMaestría71 hojasapplication/pdfengUniandesMaestría en Ciencias - FísicaFacultad de CienciasDepartamento de Físicainstname:Universidad de los Andesreponame:Repositorio Institucional SénecaQuantum szilard engines and breakdown of adiabaticityTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesishttp://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/TMFísica cuántica - InvestigacionesTermodinámica - InvestigacionesFísicaPublicationORIGINALu808329.pdfapplication/pdf4457269https://repositorio.uniandes.edu.co/bitstreams/2a2ba869-f26c-480f-b69e-d104bb85df8b/download1bbf9524b3ae4c42594631e85c50601dMD51TEXTu808329.pdf.txtu808329.pdf.txtExtracted texttext/plain159943https://repositorio.uniandes.edu.co/bitstreams/d5d04ac6-6563-4012-8343-cd02b4b14f5e/download5086153b6082f1d7c6d3168dfebb7548MD54THUMBNAILu808329.pdf.jpgu808329.pdf.jpgIM Thumbnailimage/jpeg6549https://repositorio.uniandes.edu.co/bitstreams/83bf8e00-9018-4ab8-867a-a0508e621bf3/download2f4149a1bf3c1b62ead3aec3a1b527e4MD551992/34705oai:repositorio.uniandes.edu.co:1992/347052023-10-10 16:37:48.587http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co