Com uma 'compressão' quântica, os relógios poderiam manter o tempo ainda mais preciso, propõem pesquisadores do MIT
Relógios mais estáveis ??poderiam medir fenômenos quânticos, incluindo a presença de matéria escura.
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)
Relógios, lasers e outros osciladores poderiam ser ajustados com precisão superquântica, permitindo aos pesquisadores rastrear diferenças infinitamente pequenas no tempo, de acordo com um novo estudo do MIT. Créditos: Imagem: Notícias do MIT; iStock
A prática de manter o tempo depende de oscilações estáveis. Num relógio de pêndulo, a duração de um segundo é marcada por uma única oscilação do pêndulo. Num relógio digital, as vibrações de um cristal de quartzo marcam frações de tempo muito menores. E nos relógios atômicos, os cronometristas de última geração do mundo, as oscilações de um feixe de laser estimulam os átomos a vibrar 9,2 bilhões de vezes por segundo. Estas divisões de tempo mais pequenas e mais estáveis ??definem o tempo para as atuais comunicações por satélite, sistemas GPS e mercados financeiros.
A estabilidade de um relógio depende do ruído em seu ambiente. Um vento fraco pode dessincronizar o balanço de um pêndulo. E o calor pode perturbar as oscilações dos átomos num relógio atômico. A eliminação de tais efeitos ambientais pode melhorar a precisão do relógio. Mas apenas até certo ponto.
Um novo estudo do MIT conclui que mesmo que todo o ruído do mundo exterior seja eliminado, a estabilidade dos relógios, raios laser e outros osciladores ainda seria vulnerável aos efeitos da mecânica quântica. A precisão dos osciladores seria, em última análise, limitada pelo ruído quântico.
Mas, em teoria, existe uma maneira de ultrapassar esse limite quântico. No seu estudo, os investigadores também mostram que ao manipular, ou “comprimir”, os estados que contribuem para o ruído quântico, a estabilidade de um oscilador pode ser melhorada, mesmo ultrapassando o seu limite quântico.
“O que mostramos é que na verdade há um limite para a estabilidade de osciladores como lasers e relógios, que é definido não apenas pelo ambiente, mas pelo fato de que a mecânica quântica os força a balançar um pouco”, diz Vivishek. Sudhir, professor assistente de engenharia mecânica no MIT. “Então, mostramos que existem maneiras de contornar esse tremor da mecânica quântica. Mas você tem que ser mais inteligente do que apenas isolar a coisa do seu ambiente. Você tem que brincar com os próprios estados quânticos.”
A equipe está trabalhando em um teste experimental de sua teoria. Se conseguirem demonstrar que podem manipular os estados quânticos num sistema oscilante, os investigadores preveem que relógios, lasers e outros osciladores poderão ser ajustados para uma precisão superquântica. Esses sistemas poderiam então ser usados ??para rastrear diferenças infinitamente pequenas no tempo, como as flutuações de um único qubit em um computador quântico ou a presença de uma partícula de matéria escura flutuando entre os detectores.
“Planejamos demonstrar vários exemplos de lasers com capacidade de cronometragem aprimorada quântica nos próximos anos”, diz Hudson Loughlin, estudante de pós-graduação do Departamento de Física do MIT. “Esperamos que nossos recentes desenvolvimentos teóricos e experimentos futuros aprimorem nossa capacidade fundamental de manter o tempo com precisão e possibilitem novas tecnologias revolucionárias.”
Loughlin e Sudhir detalham seu trabalho em um artigo de acesso aberto publicado na revista Nature Communications .
Precisão do laser
Ao estudar a estabilidade dos osciladores, os pesquisadores olharam primeiro para o laser – um oscilador óptico que produz um feixe semelhante a uma onda de fótons altamente sincronizados. A invenção do laser é amplamente creditada aos físicos Arthur Schawlow e Charles Townes, que cunharam o nome a partir de sua sigla descritiva: amplificação de luz por emissão estimulada de radiação.
O design de um laser centra-se num “meio laser” – uma coleção de átomos, geralmente incorporados em vidro ou cristais. Nos primeiros lasers, um tubo de flash envolvendo o meio de laser estimularia os elétrons nos átomos a aumentarem a energia. Quando os elétrons relaxam de volta para uma energia mais baixa, eles emitem alguma radiação na forma de um fóton. Dois espelhos, em cada extremidade do meio de laser, refletem o fóton emitido de volta aos átomos para estimular mais elétrons e produzir mais fótons. Um espelho, juntamente com o meio de laser, atua como um “amplificador” para aumentar a produção de fótons, enquanto o segundo espelho é parcialmente transmissivo e atua como um “acoplador” para extrair alguns fótons como um feixe concentrado de luz laser.
Desde a invenção do laser, Schawlow e Townes apresentaram a hipótese de que a estabilidade do laser deveria ser limitada pelo ruído quântico. Desde então, outros testaram suas hipóteses modelando as características microscópicas de um laser. Através de cálculos muito específicos, eles mostraram que, de fato, interações quânticas imperceptíveis entre os fótons e átomos do laser poderiam limitar a estabilidade de suas oscilações.
“Mas esse trabalho envolveu cálculos extremamente detalhados e delicados, de forma que o limite fosse compreendido, mas apenas para um tipo específico de laser”, observa Sudhir. “Queríamos simplificar enormemente isso, para entender os lasers e uma ampla gama de osciladores”.
Colocando o “aperto”
Em vez de se concentrar nas complexidades físicas do laser, a equipe procurou simplificar o problema.
“Quando um engenheiro elétrico pensa em fazer um oscilador, ele pega um amplificador e alimenta a saída do amplificador em sua própria entrada”, explica Sudhir. “É como uma cobra comendo o próprio rabo. É uma forma de pensar extremamente libertadora. Você não precisa conhecer os detalhes de um laser. Em vez disso, você tem uma imagem abstrata, não apenas de um laser, mas de todos os osciladores.”
Em seu estudo, a equipe elaborou uma representação simplificada de um oscilador semelhante a um laser. Seu modelo consiste em um amplificador (como os átomos de um laser), uma linha de atraso (por exemplo, o tempo que a luz leva para viajar entre os espelhos de um laser) e um acoplador (como um espelho parcialmente reflexivo).
A equipe então escreveu as equações da física que descrevem o comportamento do sistema e realizou cálculos para ver onde o ruído quântico surgiria no sistema.
“Ao abstrair este problema para um oscilador simples, podemos identificar onde as flutuações quânticas entram no sistema, e elas entram em dois lugares: o amplificador e o acoplador que nos permite obter um sinal do oscilador”, diz Loughlin. “Se soubermos essas duas coisas, saberemos qual é o limite quântico para a estabilidade desse oscilador.”
Sudhir diz que os cientistas podem usar as equações que apresentam em seus estudos para calcular o limite quântico em seus próprios osciladores.
Além do mais, a equipe mostrou que esse limite quântico poderia ser superado, se o ruído quântico em uma das duas fontes pudesse ser “comprimido”. A compressão quântica é a ideia de minimizar as flutuações quânticas em um aspecto de um sistema às custas de aumentar proporcionalmente as flutuações em outro aspecto. O efeito é semelhante a espremer o ar de uma parte de um balão para outra.
No caso de um laser, a equipe descobriu que se as flutuações quânticas no acoplador fossem comprimidas, isso poderia melhorar a precisão, ou o tempo das oscilações, no feixe de laser de saída, mesmo que o ruído na potência do laser aumentasse como resultado. .
“Quando você encontra algum limite da mecânica quântica, sempre há a dúvida de quão maleável é esse limite?” Sudhir diz. “É realmente uma parada difícil ou ainda há algum suco que você pode extrair manipulando alguma mecânica quântica? Neste caso, descobrimos que sim, o que é um resultado aplicável a uma enorme classe de osciladores.”
Esta pesquisa é apoiada, em parte, pela National Science Foundation.