Alunos da Faculdade de Física da Universidade de Varsóvia (UW) e pesquisadores do QOT Center for Quantum Optical Technologies desenvolveram um método inovador que permite que a Transformada de Fourier fracionária de pulsos ópticos...
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)
Alunos no laboratório apresentando rotação dos estados do gato de Schrödinger. Nenhum gato real foi ferido durante o projeto. Crédito: S. Kurzyna e B. Niewelt, fonte: Universidade de Varsóvia
Alunos da Faculdade de Física da Universidade de Varsóvia (UW) e pesquisadores do QOT Center for Quantum Optical Technologies desenvolveram um método inovador que permite que a Transformada de Fourier fracionária de pulsos ópticos seja realizada usando memória quântica. Esta conquista é única à escala global, pois a equipa foi a primeira a apresentar uma implementação experimental da referida transformação neste tipo de sistema.
Os resultados da pesquisa foram publicados na revista Physical Review Letters . Em seu trabalho, os alunos testaram a implementação da Transformada de Fourier fracionária usando um pulso óptico duplo, também conhecido como estado "gato de Schrödinger".
O espectro do pulso e a distribuição temporal
As ondas, como a luz, têm propriedades próprias — duração e frequência do pulso (correspondente, no caso da luz, à sua cor). Acontece que essas características estão relacionadas entre si por meio de uma operação chamada Transformada de Fourier, que permite passar da descrição de uma onda no tempo para a descrição de seu espectro em frequências.
A Transformada de Fourier fracionária é uma generalização da Transformada de Fourier que permite uma transição parcial de uma descrição de uma onda no tempo para uma descrição em frequência. Intuitivamente, pode ser entendido como uma rotação de uma distribuição (por exemplo, a função cronocíclica de Wigner) do sinal considerado por um determinado ângulo no domínio do tempo-frequência.
Acontece que as transformadas desse tipo são excepcionalmente úteis no projeto de filtros espectrotemporais especiais para eliminar o ruído e permitir a criação de algoritmos que permitem usar a natureza quântica da luz para distinguir pulsos de diferentes frequências com mais precisão do que os tradicionais métodos. Isso é especialmente importante na espectroscopia, que ajuda a estudar as propriedades químicas da matéria, e nas telecomunicações, que requer a transmissão e o processamento de informações com alta precisão e velocidade.
Uma lente de vidro comum é capaz de focalizar um feixe monocromático de luz que incide sobre ela em quase um único ponto (foco). Alterar o ângulo de incidência da luz na lente resulta em uma mudança na posição do foco. Isso nos permite converter ângulos de incidência em posições, obtendo a analogia da Transformada de Fourier, no espaço de direções e posições. Um espectrômetro clássico baseado em uma grade de difração usa esse efeito para converter as informações de comprimento de onda da luz em posições, permitindo-nos distinguir entre as linhas espectrais.
Lentes de tempo e frequência
Da mesma forma que as lentes de vidro, as lentes de tempo e frequência permitem a conversão da duração de um pulso em sua distribuição espectral ou, efetivamente, realizam uma transformada de Fourier no tempo e no espaço de frequência. A seleção correta das potências de tais lentes possibilita a realização de uma Transformada de Fourier fracionária. No caso dos pulsos ópticos, a ação das lentes de tempo e frequência corresponde à aplicação de fases quadráticas ao sinal.
Para processar o sinal, os pesquisadores usaram uma memória quântica – ou mais precisamente uma memória equipada com recursos de processamento de luz quântica – baseada em uma nuvem de átomos de rubídio colocados em uma armadilha magneto-óptica. Os átomos foram resfriados a uma temperatura de dezenas de milhões de graus acima do zero absoluto. A memória foi colocada em um campo magnético variável, permitindo que componentes de diferentes frequências fossem armazenados em diferentes partes da nuvem. O pulso foi submetido a uma lente de tempo durante a escrita e leitura, e uma lente de frequência atuou sobre ele durante o armazenamento.
O dispositivo desenvolvido na UW permite a implementação dessas lentes em uma gama muito ampla de parâmetros e de forma programável. Um pulso duplo é muito propenso à descoerência, por isso é frequentemente comparado ao famoso gato de Schrödinger - uma superposição macroscópica de estar morto e vivo, quase impossível de ser alcançada experimentalmente. Ainda assim, a equipe conseguiu implementar operações fiéis nesses frágeis estados de pulso duplo.
Antes da aplicação direta em telecomunicações, o método deve primeiro ser mapeado para outros comprimentos de onda e faixas de parâmetros. A transformada de Fourier fracionária, no entanto, pode ser crucial para receptores ópticos em redes de última geração, incluindo links ópticos de satélite. Um processador de luz quântica desenvolvido na UW permite encontrar e testar esses novos protocolos de maneira eficiente.
Mais informações: Bartosz Niewelt et al, Implementação Experimental da Transformada de Fourier Fracionária Óptica no Domínio do Tempo-Frequência, Cartas de Revisão Física (2023). DOI: 10.1103/PhysRevLett.130.240801
Informações do periódico: cartas de revisão física