Spatial Propagation and Characterization of Quantum States of Light in Integrated Photonic Devices

In this dissertation we introduce a quantum theory of propagation of light in integrated photonic devices. The necessity of this theory is justi ed due to the conceptual and formal inconsistencies the Hamiltonian theory presents when dealing with propagation problems. Taking into account the orthono...

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Autor: Barral Raña, David
Tipo de recurso: tesis doctoral
Fecha de publicación:2015
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/13702
Acceso en línea:http://hdl.handle.net/10347/13702
Access Level:acceso abierto
Palabra clave:Materias::Investigación::22 Física::2209 Óptica::220904 Espectroscopia de emisión
Materias::Investigación::22 Física::2209 Óptica::220919 Óptica física
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spelling Spatial Propagation and Characterization of Quantum States of Light in Integrated Photonic DevicesBarral Raña, DavidMaterias::Investigación::22 Física::2209 Óptica::220904 Espectroscopia de emisiónMaterias::Investigación::22 Física::2209 Óptica::220919 Óptica físicaIn this dissertation we introduce a quantum theory of propagation of light in integrated photonic devices. The necessity of this theory is justi ed due to the conceptual and formal inconsistencies the Hamiltonian theory presents when dealing with propagation problems. Taking into account the orthonormalization property and the modal norms, we carry out a canonical quantization of the ux of Momentum and derive Heisenberg equations. We apply it to coupling devices with di erent features of the refractive index: inhomogeneities, nonlinear response and losses; like N N linear and nonli- near directional couplers and spontaneous parametric down conversion and spontaneous four wave mixing-based nonlinear inhomogeneous waveguides. Likewise, we introduce the optical eld-strength space and the amplitude probability distributions in this representation, and by means of a spatial- type Lagrangian theory we derive by path integration propagators in this space for di erent-media based devices. In this way we solve the propagation for discrete and continuous variables. Next, we present a new method of characterization of quantum states introducing a generalized quantum polarization, based on the con nement in particular regions of the optical eld space of the probability distributions of quantum states. Likewise, we propose a consistent polarization degree, a gure which measures how di erent a state is from a full unpolarized one, showing its application to the characterization of various examples of stationary and dynamic quantum states. The last aim of this dissertation is to measure quantum states of light propagating in integrated photonic devices. We designe a versatile and relia- ble electro-optic integrated device to accomplish this goal. This device allows carrying out any SU(2) unitary transformation and is able to be nested as well, allowing its extension to SU(N) transformations. Likewise, it outper- forms other current schemes based on pasive directional couplers due to its ability to reduce the e ect produced by fabrication errors, a very important fact when complex circuits are involved. We perform simulations and show possible applications. In summary, in this thesis we develop tools to design and simulate the performance of photonic devices, as well as propose a characterization me- thod for quantum states propagating within, with interest in the conti- nuously growing eld of integrated quantum photonics.Liñares Beiras, JesúsMoreno de las Cuevas, VicenteUniversidade de Santiago de Compostela. Facultade de Física. Facultade de Óptica e Optiometría. Departamento de Física Aplicada. Programa de Doutoramento: Láser, Fotónica e Visión20152015-11-2320152015-11-23doctoral thesishttp://purl.org/coar/resource_type/c_db06info:eu-repo/semantics/doctoralThesisapplication/pdfhttp://hdl.handle.net/10347/13702reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Esta obra atópase baixo unha licenza internacional Creative Commons BY-NC-ND 4.0. Calquera forma de reprodución, distribución, comunicación pública ou transformación desta obra non incluída na licenza Creative Commons BY-NC-ND 4.0 só pode ser realizada coa autorización expresa dos titulares, salvo excepción prevista pola lei. Pode acceder Vde. ao texto completo da licenza nesta ligazón: https://creativecommons.org/licenses/by-nc-nd/4.0/deed.glhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.glinfo:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/137022026-06-15T12:47:27Z
dc.title.none.fl_str_mv Spatial Propagation and Characterization of Quantum States of Light in Integrated Photonic Devices
title Spatial Propagation and Characterization of Quantum States of Light in Integrated Photonic Devices
spellingShingle Spatial Propagation and Characterization of Quantum States of Light in Integrated Photonic Devices
Barral Raña, David
Materias::Investigación::22 Física::2209 Óptica::220904 Espectroscopia de emisión
Materias::Investigación::22 Física::2209 Óptica::220919 Óptica física
title_short Spatial Propagation and Characterization of Quantum States of Light in Integrated Photonic Devices
title_full Spatial Propagation and Characterization of Quantum States of Light in Integrated Photonic Devices
title_fullStr Spatial Propagation and Characterization of Quantum States of Light in Integrated Photonic Devices
title_full_unstemmed Spatial Propagation and Characterization of Quantum States of Light in Integrated Photonic Devices
title_sort Spatial Propagation and Characterization of Quantum States of Light in Integrated Photonic Devices
dc.creator.none.fl_str_mv Barral Raña, David
author Barral Raña, David
author_facet Barral Raña, David
author_role author
dc.contributor.none.fl_str_mv Liñares Beiras, Jesús
Moreno de las Cuevas, Vicente
Universidade de Santiago de Compostela. Facultade de Física. Facultade de Óptica e Optiometría. Departamento de Física Aplicada. Programa de Doutoramento: Láser, Fotónica e Visión
dc.subject.none.fl_str_mv Materias::Investigación::22 Física::2209 Óptica::220904 Espectroscopia de emisión
Materias::Investigación::22 Física::2209 Óptica::220919 Óptica física
topic Materias::Investigación::22 Física::2209 Óptica::220904 Espectroscopia de emisión
Materias::Investigación::22 Física::2209 Óptica::220919 Óptica física
description In this dissertation we introduce a quantum theory of propagation of light in integrated photonic devices. The necessity of this theory is justi ed due to the conceptual and formal inconsistencies the Hamiltonian theory presents when dealing with propagation problems. Taking into account the orthonormalization property and the modal norms, we carry out a canonical quantization of the ux of Momentum and derive Heisenberg equations. We apply it to coupling devices with di erent features of the refractive index: inhomogeneities, nonlinear response and losses; like N N linear and nonli- near directional couplers and spontaneous parametric down conversion and spontaneous four wave mixing-based nonlinear inhomogeneous waveguides. Likewise, we introduce the optical eld-strength space and the amplitude probability distributions in this representation, and by means of a spatial- type Lagrangian theory we derive by path integration propagators in this space for di erent-media based devices. In this way we solve the propagation for discrete and continuous variables. Next, we present a new method of characterization of quantum states introducing a generalized quantum polarization, based on the con nement in particular regions of the optical eld space of the probability distributions of quantum states. Likewise, we propose a consistent polarization degree, a gure which measures how di erent a state is from a full unpolarized one, showing its application to the characterization of various examples of stationary and dynamic quantum states. The last aim of this dissertation is to measure quantum states of light propagating in integrated photonic devices. We designe a versatile and relia- ble electro-optic integrated device to accomplish this goal. This device allows carrying out any SU(2) unitary transformation and is able to be nested as well, allowing its extension to SU(N) transformations. Likewise, it outper- forms other current schemes based on pasive directional couplers due to its ability to reduce the e ect produced by fabrication errors, a very important fact when complex circuits are involved. We perform simulations and show possible applications. In summary, in this thesis we develop tools to design and simulate the performance of photonic devices, as well as propose a characterization me- thod for quantum states propagating within, with interest in the conti- nuously growing eld of integrated quantum photonics.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-11-23
2015
2015-11-23
dc.type.none.fl_str_mv doctoral thesis
http://purl.org/coar/resource_type/c_db06
dc.type.openaire.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
dc.identifier.none.fl_str_mv http://hdl.handle.net/10347/13702
url http://hdl.handle.net/10347/13702
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.gl
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.gl
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
instname:Universidad de Santiago de Compostela (USC)
instname_str Universidad de Santiago de Compostela (USC)
reponame_str Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
collection Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
repository.name.fl_str_mv
repository.mail.fl_str_mv
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