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...
| Autor: | |
|---|---|
| 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 |
| dc.type.driver.es_CL.fl_str_mv |
info:eu-repo/semantics/doctoralThesis |
| dc.type.openaire.none.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
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Tesis |
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doctoralThesis |
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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 |
| url |
https://hdl.handle.net/10533/253063 |
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instname: Conicyt reponame: Repositorio Digital RI2.0 |
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info:eu-repo/grantAgreement//21161071 |
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info:eu-repo/semantics/dataset/hdl.handle.net/10533/93488 |
| dc.relation.uri.es_CL.fl_str_mv |
https://repositorio.uc.cl/handle/11534/62915 |
| dc.rights.es_CL.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
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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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 |
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