Weak value amplification in optomechanical system with Mach-Zehnder interferometer

In this work an optomechanical system inside a Mach-Zehnder interferometer is studied from the perspective of the weak value amplification effect. The optomechanical system consists of a Fabry-Pérot cavity with a moving mirror in the middle. Single photons are post-selected in the detector located i...

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Detalles Bibliográficos
Autor: Carrasco-Novoa, Sergio José
Tipo de recurso: tesis doctoral
Estado:Versión publicada
Fecha de publicación:2021
País:Chile
OAI Identifier:oai:repositorio.anid.cl:10533/253063
Acceso en línea:https://hdl.handle.net/10533/253063
Access Level:acceso abierto
Palabra clave:Ciencias Naturales
Ciencias Físicas
Otras Especialidades de la Física
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dc.title.es_CL.fl_str_mv Weak value amplification in optomechanical system with Mach-Zehnder interferometer
Weak value amplification in an optomechanical system with mach-zehnder interferometer
title Weak value amplification in optomechanical system with Mach-Zehnder interferometer
spellingShingle Weak value amplification in optomechanical system with Mach-Zehnder interferometer
Carrasco-Novoa, Sergio José
Ciencias Naturales
Ciencias Físicas
Otras Especialidades de la Física
title_short Weak value amplification in optomechanical system with Mach-Zehnder interferometer
title_full Weak value amplification in optomechanical system with Mach-Zehnder interferometer
title_fullStr Weak value amplification in optomechanical system with Mach-Zehnder interferometer
title_full_unstemmed Weak value amplification in optomechanical system with Mach-Zehnder interferometer
title_sort Weak value amplification in optomechanical system with Mach-Zehnder interferometer
dc.creator.none.fl_str_mv Carrasco-Novoa, Sergio José
author Carrasco-Novoa, Sergio José
author_facet Carrasco-Novoa, Sergio José
author_role author
dc.contributor.advisor.none.fl_str_mv Orszag-Posa, Miguel Antonio
dc.contributor.institution.es_CL.fl_str_mv PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE
dc.subject.oecd1n.es_CL.fl_str_mv Ciencias Naturales
topic Ciencias Naturales
Ciencias Físicas
Otras Especialidades de la Física
dc.subject.oecd2n.es_CL.fl_str_mv Ciencias Físicas
dc.subject.oecd3n.es_CL.fl_str_mv Otras Especialidades de la Física
description In this work an optomechanical system inside a Mach-Zehnder interferometer is studied from the perspective of the weak value amplification effect. The optomechanical system consists of a Fabry-Pérot cavity with a moving mirror in the middle. Single photons are post-selected in the detector located in one of the output ports of the interferometer (dark port), which allows to enlarge the displacement caused by a single photon over the moving mirror of the cavity. Since the interaction between a single photon and the mirror is weak, the amplification factor of the displacement corresponds to a weak value. By making the initial and final states of the photon quasi-orthogonal, the weak value becomes large and the radiation pressure force exerted by the photon is increased, making a single photon behave as ``many photons'' will do. However, the amplification effect comes at the cost of the lost of data. The usefulness of weak values for parameter estimation in our setup is analyzed from the perspective of the Fisher information. Although the maximum precision of the estimation does not change either by using weak values or by implementing weak measurements without post-selection, in the first scenario all the information can be put in a small amount of post-selected events, which allows to construct an estimator of optomechanical parameters at a lower cost (fewer observations of the measurement device are needed). The scenarios in which the weak measurement is affected by white and time-correlated classical noise were also analyzed; in the first case, the maximum precision is the same in both measurement strategies (with or without post-selection), while in the second case the maximum precision is increased when weak values are employed.
publishDate 2021
dc.date.accessioned.none.fl_str_mv 2021-12-09T13:35:25Z
2022-08-23T12:54:14Z
dc.date.available.none.fl_str_mv 2021-12-09T13:35:25Z
2022-08-23T12:54:14Z
dc.date.issued.es_CL.fl_str_mv 2021
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dc.type.openaire.none.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.tesis.none.fl_str_mv Tesis
format doctoralThesis
status_str publishedVersion
dc.identifier.folio.es_CL.fl_str_mv 21161071
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10533/253063
identifier_str_mv 21161071
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spelling PONTIFICIA UNIVERSIDAD CATOLICA DE CHILECarrasco-Novoa, Sergio José2021https://hdl.handle.net/10533/253063http://purl.org/coar/access_right/c_abf2Otras Especialidades de la FísicaCiencias FísicasCiencias NaturalesWeak value amplification in optomechanical system with Mach-Zehnder interferometerOrszag-Posa, Miguel AntonioPONTIFICIA UNIVERSIDAD CATOLICA DE CHILEChileCarrasco-Novoa, Sergio José2021-12-09T13:35:25Z2022-08-23T12:54:14Z2021-12-09T13:35:25Z2022-08-23T12:54:14Z2021In this work an optomechanical system inside a Mach-Zehnder interferometer is studied from the perspective of the weak value amplification effect. The optomechanical system consists of a Fabry-Pérot cavity with a moving mirror in the middle. Single photons are post-selected in the detector located in one of the output ports of the interferometer (dark port), which allows to enlarge the displacement caused by a single photon over the moving mirror of the cavity. Since the interaction between a single photon and the mirror is weak, the amplification factor of the displacement corresponds to a weak value. By making the initial and final states of the photon quasi-orthogonal, the weak value becomes large and the radiation pressure force exerted by the photon is increased, making a single photon behave as ``many photons'' will do. However, the amplification effect comes at the cost of the lost of data. The usefulness of weak values for parameter estimation in our setup is analyzed from the perspective of the Fisher information. Although the maximum precision of the estimation does not change either by using weak values or by implementing weak measurements without post-selection, in the first scenario all the information can be put in a small amount of post-selected events, which allows to construct an estimator of optomechanical parameters at a lower cost (fewer observations of the measurement device are needed). The scenarios in which the weak measurement is affected by white and time-correlated classical noise were also analyzed; in the first case, the maximum precision is the same in both measurement strategies (with or without post-selection), while in the second case the maximum precision is increased when weak values are employed.21161071https://hdl.handle.net/10533/253063instname: Conicytreponame: Repositorio Digital RI2.0info:eu-repo/grantAgreement//21161071info:eu-repo/semantics/dataset/hdl.handle.net/10533/93488https://repositorio.uc.cl/handle/11534/62915info:eu-repo/semantics/openAccessCiencias NaturalesCiencias FísicasOtras Especialidades de la FísicaWeak value amplification in optomechanical system with Mach-Zehnder interferometerWeak value amplification in an optomechanical system with mach-zehnder interferometerinfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/publishedVersionTesisTesishttps://hdl.handle.net/10533/253063fdf97f01-ad2d-4fa8-b02d-ee3575fa2e56virtual::60903-1fdf97f01-ad2d-4fa8-b02d-ee3575fa2e56virtual::60903-1THUMBNAILTesis Doctoral Sergio Jose Carrasco Novoa.pdf.jpgIM Thumbnailimage/jpeg4653https://repositorio.anid.cl/bitstreams/6398e7b6-0097-4012-bbf6-5d31198f93bd/download5c36b058746bfb55ee9b5eed5a45ad00MD51TEXTTesis Doctoral Sergio Jose Carrasco Novoa.pdf.txtExtracted texttext/plain344717https://repositorio.anid.cl/bitstreams/7e50076d-8300-4de9-812e-e0be97ceb7cf/download4f61e51291214c9a292323d76ae689deMD52LICENSElicense.txttext/plain1779https://repositorio.anid.cl/bitstreams/4d5865b1-ea1f-44e1-805c-a7d5ccac1c23/download593a6e7305c66c56041a9f9e15a649c1MD53ORIGINALTesis Doctoral Sergio Jose Carrasco Novoa.pdfAdjunto tesis doctoral.application/pdf3488735https://repositorio.anid.cl/bitstreams/00909591-6005-45d1-b193-169926ba003e/downloade79fc734440e8805312157f3acc83b10MD5410533/253063oai:repositorio.anid.cl:10533/2530632023-07-24 05:47:09.624https://repositorio.anid.clRepositorio ANIDaletelier@anid.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