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Doctoral Thesis
DOI
https://doi.org/10.11606/T.76.2022.tde-17012023-093931
Document
Author
Full name
Flávio de Oliveira Neto
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2022
Supervisor
Committee
Moussa, Miled Hassan Youssef (President)
Almeida, Norton Gomes de
Barranco, Antonio Vidiella
Castro, Antonio Sergio Magalhaes de
Napolitano, Reginaldo de Jesus
Title in English
Effective lasers and enhancement of the radiation-matter interaction via pseudo-Hermitian Hamiltonians
Keywords in English
Laser theory
Non-Hermitian quantum mechanics
Quantum optics
Abstract in English
In this work we propose a method using atom-field effective interactions along with reservoir engineering techniques into laser theory. Our proposal consists of creating generalized operators with which we can re-write the Hamiltonian in the Jaynes-Cummings bilinear form allowing us to build an isomorphism, between the conventional field operators and those of our effective laser, that guarantees the stationary solution in this new basis to be that of the usual theory. Mapping this steady state into the Fock basis we have a new laser state, different from the coherent state, that depends on the choosing of the generalized operator, having no diffusion from cavity losses due to a particular reservoir engineering technique. Moreover, we present a strategy for strengthening the atom-field interaction through a pseudo-Hermitian Jaynes-Cummings Hamiltonian. Apart from the engineering of an effective non-Hermitian Hamiltonian, our method also relies on the accomplishment of short-time measurements on canonically conjugate variables. The resulting fast Rabi oscillations may be used for many quantum optics purposes and specially to shorten the processing time of quantum information.
Title in Portuguese
Lasers efetivos e fortalecimento da interação radiação-matéria via Hamiltonianos pseudo-Hermitianos
Keywords in Portuguese
Mecânica quântica não-Hermitiana
Ótica quântica
Teoria do laser
Abstract in Portuguese
Neste trabalho propomos um método fazendo uso de interações efetivas átomo-campo, juntamente com técnicas de engenharia de reservatório, aplicadas na teoria do laser. Nossa proposta consiste em criar operadores generalizados com os quais reescrevemos o Hamiltoniano na forma bilinear de Jaynes-Cummings, de forma que possamos construir um isomorfismo, entre os operadores de campo convencionais e aqueles de nosso laser efetivo, que garanta que a solução estacionária nessa nova base seja igual à da teoria usual. Mapeando esse estado estacionário na base de Fock nós obtemos um novo estado para o laser, diferente do estado coerente, que depende da escolha do operador generalizado e é livre de processos de difusão, oriundos das perdas da cavidade, devido à uma técnica específica de engenharia de reservatório. Nós também apresentamos uma estratégia para fortalecer o acoplamento átomo-campo através de um Hamiltoniano de Jaynes- Cummings pseudo-Hermitiano. Além da engenharia de um Hamiltoniano não-Hermitiano, nosso método também conta com medições de curto tempo de variáveis canonicamente conjugadas. As oscilações de Rabi resultantes podem ser utilizadas para vários propósitos em ótica quântica, especialmente para encurtar o tempo de processamento em informação quântica.
 
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Publishing Date
2023-01-24
 
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