Deflection of mesoscopic atomic superpositions via superradiance and superabsorption

Detalhes bibliográficos
Autor(a) principal: Rocha, Leandro Manoel Rocha da
Data de Publicação: 2024
Tipo de documento: Dissertação
Idioma: eng
Título da fonte: Biblioteca Digital de Teses e Dissertações da USP
Texto Completo: https://www.teses.usp.br/teses/disponiveis/76/76134/tde-29042024-085425/
Resumo: In this work we will deal with the effects of a coherent electromagnetic field acting on an atomic dipole gas confined to a cavity. It is known from (5) that in such conditions, if we a have moderately dense sample of N 2-level atoms, we can observe the presence of superradiance, i.e., the enhanced emission of a coherent pulse of intensity proportional to N2 and, in a smaller scale, the enhanced absorption as well (14). When coupling this sample to a quantum electromagnetic field via Tavis-Cummings interaction we are able to enhance even more the superabsorption as well as the superemission to a lesser degree in such a way as to almost equate the intensities of both processes and give rise to interleaved oscillations between them in both field and sample resulting in the phenomenon of many-body Rabi oscillations described in (1). However, it is to expect that, due to momentum conservation, such a phenomenon would cause a deflection on the atoms of the sample in a small time interval, after which we would have a mesoscopic superposition containing all the information related to the prior state. Our main goal is the study of the deflection suffered by the atoms of such a sample and how it relates to the state before the emission. We solve the time-dependent non-linear Hamiltonian related to the superradiant emission/superabsorption via the Lewis-Riesenfeld invariant method. At the end we will show how the macroscopic states were prepared to obtain our results.
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spelling Deflection of mesoscopic atomic superpositions via superradiance and superabsorptionDeflexão de superposições atômicas mesoscópicas via superradiância e superabsorçãoDeflectionDeflexãoSuperabsorçãoSuperabsorptionSuperradianceSuperradiânciaTomografiaTomographyIn this work we will deal with the effects of a coherent electromagnetic field acting on an atomic dipole gas confined to a cavity. It is known from (5) that in such conditions, if we a have moderately dense sample of N 2-level atoms, we can observe the presence of superradiance, i.e., the enhanced emission of a coherent pulse of intensity proportional to N2 and, in a smaller scale, the enhanced absorption as well (14). When coupling this sample to a quantum electromagnetic field via Tavis-Cummings interaction we are able to enhance even more the superabsorption as well as the superemission to a lesser degree in such a way as to almost equate the intensities of both processes and give rise to interleaved oscillations between them in both field and sample resulting in the phenomenon of many-body Rabi oscillations described in (1). However, it is to expect that, due to momentum conservation, such a phenomenon would cause a deflection on the atoms of the sample in a small time interval, after which we would have a mesoscopic superposition containing all the information related to the prior state. Our main goal is the study of the deflection suffered by the atoms of such a sample and how it relates to the state before the emission. We solve the time-dependent non-linear Hamiltonian related to the superradiant emission/superabsorption via the Lewis-Riesenfeld invariant method. At the end we will show how the macroscopic states were prepared to obtain our results.Neste trabalho lidaremos com os efeitos de um campo eletromagnético agindo sobre um gás de dipolos atômicos confinado a uma cavidade. Sabe-se por (5) que sob tais condições, se tivermos uma amostra moderadamente densa de N átomos de dois níveis, podemos observar a presença do fenômeno da super-radiância, i.e., a emissão amplificada de um pulso coerente com intensidade proporcional a N2 bem como, em menor escala, uma absorção amplificada (14). Ao acoplar esta amostra a um campo eletromagnético através da interação de Tavis-Cummings somos capazes de aumentar ainda mais a intensidade da super-absorção assim como a da super-emissão em menor grau, de tal forma que estas serão praticamente igualadas e darão origem a oscilações que irão intercalar cada processo em ambos campo e amostra resultando no fenômeno de oscilações de Rabi de muitos corpos descritas em (1). No entanto, é esperado que devido a conservação de momento tal fenônemo cause uma deflexão nos átomos da amostra em um pequeno intervalo de tempo, depois do que teríamos uma superposição mesoscópica contendo toda informação do estado anterior. Nosso principal objetivo é o estudo da deflexão sofrida pelos átomos dessa amostra e a relação dessa com o estado antes da emissão. Nós resolveremos o problema da Hamiltoniana não-linear dependente do tempo através do método de invariantes de Lewis- Riesenfeld. E por fim mostraremos como os estados macroscópicos foram preparados para obter os resultados.Biblioteca Digitais de Teses e Dissertações da USPMoussa, Miled Hassan YoussefRocha, Leandro Manoel Rocha da2024-01-25info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfhttps://www.teses.usp.br/teses/disponiveis/76/76134/tde-29042024-085425/reponame:Biblioteca Digital de Teses e Dissertações da USPinstname:Universidade de São Paulo (USP)instacron:USPLiberar o conteúdo para acesso público.info:eu-repo/semantics/openAccesseng2024-08-23T15:28:02Zoai:teses.usp.br:tde-29042024-085425Biblioteca Digital de Teses e Dissertaçõeshttp://www.teses.usp.br/PUBhttp://www.teses.usp.br/cgi-bin/mtd2br.plvirginia@if.usp.br|| atendimento@aguia.usp.br||virginia@if.usp.bropendoar:27212024-08-23T15:28:02Biblioteca Digital de Teses e Dissertações da USP - Universidade de São Paulo (USP)false
dc.title.none.fl_str_mv Deflection of mesoscopic atomic superpositions via superradiance and superabsorption
Deflexão de superposições atômicas mesoscópicas via superradiância e superabsorção
title Deflection of mesoscopic atomic superpositions via superradiance and superabsorption
spellingShingle Deflection of mesoscopic atomic superpositions via superradiance and superabsorption
Rocha, Leandro Manoel Rocha da
Deflection
Deflexão
Superabsorção
Superabsorption
Superradiance
Superradiância
Tomografia
Tomography
title_short Deflection of mesoscopic atomic superpositions via superradiance and superabsorption
title_full Deflection of mesoscopic atomic superpositions via superradiance and superabsorption
title_fullStr Deflection of mesoscopic atomic superpositions via superradiance and superabsorption
title_full_unstemmed Deflection of mesoscopic atomic superpositions via superradiance and superabsorption
title_sort Deflection of mesoscopic atomic superpositions via superradiance and superabsorption
author Rocha, Leandro Manoel Rocha da
author_facet Rocha, Leandro Manoel Rocha da
author_role author
dc.contributor.none.fl_str_mv Moussa, Miled Hassan Youssef
dc.contributor.author.fl_str_mv Rocha, Leandro Manoel Rocha da
dc.subject.por.fl_str_mv Deflection
Deflexão
Superabsorção
Superabsorption
Superradiance
Superradiância
Tomografia
Tomography
topic Deflection
Deflexão
Superabsorção
Superabsorption
Superradiance
Superradiância
Tomografia
Tomography
description In this work we will deal with the effects of a coherent electromagnetic field acting on an atomic dipole gas confined to a cavity. It is known from (5) that in such conditions, if we a have moderately dense sample of N 2-level atoms, we can observe the presence of superradiance, i.e., the enhanced emission of a coherent pulse of intensity proportional to N2 and, in a smaller scale, the enhanced absorption as well (14). When coupling this sample to a quantum electromagnetic field via Tavis-Cummings interaction we are able to enhance even more the superabsorption as well as the superemission to a lesser degree in such a way as to almost equate the intensities of both processes and give rise to interleaved oscillations between them in both field and sample resulting in the phenomenon of many-body Rabi oscillations described in (1). However, it is to expect that, due to momentum conservation, such a phenomenon would cause a deflection on the atoms of the sample in a small time interval, after which we would have a mesoscopic superposition containing all the information related to the prior state. Our main goal is the study of the deflection suffered by the atoms of such a sample and how it relates to the state before the emission. We solve the time-dependent non-linear Hamiltonian related to the superradiant emission/superabsorption via the Lewis-Riesenfeld invariant method. At the end we will show how the macroscopic states were prepared to obtain our results.
publishDate 2024
dc.date.none.fl_str_mv 2024-01-25
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://www.teses.usp.br/teses/disponiveis/76/76134/tde-29042024-085425/
url https://www.teses.usp.br/teses/disponiveis/76/76134/tde-29042024-085425/
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv
dc.rights.driver.fl_str_mv Liberar o conteúdo para acesso público.
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Liberar o conteúdo para acesso público.
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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dc.publisher.none.fl_str_mv Biblioteca Digitais de Teses e Dissertações da USP
publisher.none.fl_str_mv Biblioteca Digitais de Teses e Dissertações da USP
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reponame:Biblioteca Digital de Teses e Dissertações da USP
instname:Universidade de São Paulo (USP)
instacron:USP
instname_str Universidade de São Paulo (USP)
instacron_str USP
institution USP
reponame_str Biblioteca Digital de Teses e Dissertações da USP
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repository.name.fl_str_mv Biblioteca Digital de Teses e Dissertações da USP - Universidade de São Paulo (USP)
repository.mail.fl_str_mv virginia@if.usp.br|| atendimento@aguia.usp.br||virginia@if.usp.br
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