Precisão sem precedentes em eletrodina¢mica qua¢ntica: salto gigante para resolver o quebra-cabea§a do raio de carga do pra³ton
Essa alta precisão foi alcana§ada pela técnica do pente de frequência ganhadora do Praªmio Nobel, que estreou aqui pela primeira vez para excitar a¡tomos em espectroscopia de alta resolua§a£o
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)
Alexey Grinin e Dery Taray estãotrabalhando no sistema de va¡cuo do experimento 1S-3S. Crédito: Max Planck Society
Fasicos do Instituto Max Planck de a“ptica Qua¢ntica testaram a meca¢nica qua¢ntica em umnívelcompletamente novo de precisão usando espectroscopia de hidrogaªnio e, ao fazer isso, chegaram muito mais perto de resolver o conhecido quebra-cabea§a do raio de carga do pra³ton.
Cientistas do Instituto Max Planck de a“ptica Qua¢ntica (MPQ) conseguiram testar a eletrodina¢mica qua¢ntica com uma precisão sem precedentes de 13 casas decimais. A nova medição équase duas vezes mais precisa do que todas as medições anteriores de hidrogaªnio combinadas e leva a ciência um passo mais perto de resolver o quebra-cabea§a do tamanho do pra³ton. Essa alta precisão foi alcana§ada pela técnica do pente de frequência ganhadora do Praªmio Nobel, que estreou aqui pela primeira vez para excitar a¡tomos em espectroscopia de alta resolução. Os resultados são publicados hoje na Science .
A física éconsiderada uma ciência exata. Isso significa que as previsaµes das teorias físicas - números exatos - podem ser verificadas ou falsificadas por experimentos. O experimento éo maior juiz de qualquer teoria. A eletrodina¢mica qua¢ntica, a versão relativastica da meca¢nica qua¢ntica, ésem daºvida a teoria mais bem-sucedida atéhoje. Ele permite que ca¡lculos extremamente precisos sejam realizados, por exemplo, a descrição do espectro do hidrogaªnio ata´mico com 12 casas decimais. O hidrogaªnio éo elemento mais comum no universo e ao mesmo tempo o mais simples com apenas um elanãtron. E ainda, ele hospeda um mistério ainda desconhecido. Â
O quebra-cabea§a do tamanho do pra³ton
O elanãtron no a¡tomo de hidrogaªnio "percebe" o tamanho do pra³ton, que se reflete emmudanças manimas nos naveis de energia. Por muitas décadas, inconta¡veis ​​medições do hidrogaªnio produziram um raio de pra³ton consistente. Mas as investigações espectrosca³picas do chamado hidrogaªnio mua´nico, em que o elanãtron foi substituado por seu gaªmeo 200 vezes mais pesado - o maºon - revelaram um mistanãrio. As medições foram realizadas em 2010 em colaboração com Randolf Pohl, então lider do grupo de Espectroscopia a Laser do Prof. Ha¤nsch (MPQ) e agora professor da Universidade Johannes Gutenberg em Mainz. O valor para o raio do pra³ton que pode ser derivado desses experimentos équatro por cento menor do que o do hidrogaªnio comum. Se todos os experimentos forem considerados corretos, surge uma contradição com a teoria da eletrodina¢mica qua¢ntica, pois todas as medições no hidrogaªnio mua´nico e comum devem relatar o mesmo raio do pra³ton, quando todos os termos teóricos estãocorretos. Em conseqa¼aªncia, esse "quebra-cabea§a do raio do pra³ton" motivou novas medições de precisão em todo o mundo. No entanto, enquanto novas medições de Garching e Toronto confirmaram o menor raio do pra³ton, uma medição de Paris novamente apoiou o valor anterior maior.
Comparando medidas
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A ciência prospera em comparações independentes. a‰ por isso que a equipe de Garching liderada por Alexey Grinin, Arthur Matveev e Thomas Udem do Departamento de Espectroscopia a Laser de Theodor Ha¤nsch queria medir a mesma transição de Paris usando um manãtodo completamente diferente e, portanto, complementar. Usando a chamada espectroscopia em pente de freqa¼aªncia de dois fa³tons livre de Doppler, eles agora conseguiram melhorar a precisão por um fator de quatro. O resultado para o raio do pra³ton era agora duas vezes mais preciso do que todas as medições anteriores do hidrogaªnio juntas. a‰ a primeira vez que a meca¢nica qua¢ntica éverificada atéa danãcima terceira casa decimal. O valor para o raio do pra³ton determinado desta forma confirma o menor raio do pra³ton e, portanto, exclui a teoria como causa. Porque para a mesma transição, os resultados experimentais devem concordar, independentemente da teoria. A figura a seguir (fig. 1) mostra a situação atual.
Avaliações sobre a validade da eletrodina¢mica qua¢ntica são possaveis apenas com várias medições independentes sendo comparadas. Se a teoria e sua aplicação forem verdadeiras, e todos os experimentos forem conduzidos corretamente, os valores do raio do pra³ton devem concordar uns com os outros dentro dos limites da incerteza experimental. Mas não éesse o caso, como podemos ver na foto. A revelação dessa discrepa¢ncia - o quebra-cabea§a do pra³ton - abriu a possibilidade de que a eletrodina¢mica qua¢ntica, a teoria física mais precisa, pode estar carregando uma falha fundamental. O novo resultado, entretanto, sugere que o problema éde natureza experimental e não fundamental. E a eletrodina¢mica qua¢ntica teria tido sucesso mais uma vez.
Novo marco na espectroscopia de pente de frequência
A luz laser azul (410nm) égerada como o segundo harma´nico de um tita¢nio pulsado: laser de safira que utiliza um cristal não linear.
O sucesso da espectroscopia de pente de frequência realizada neste projeto também significa um marco importante na ciência por outro motivo. A espectroscopia de precisão em hidrogaªnio e outros a¡tomos e moléculas tem sido realizada quase exclusivamente com lasers de onda contanua. Em contraste, o pente de frequência égerado por um laser pulsado. Com esses lasers, épossível penetrar em comprimentos de onda muito mais curtos atéa faixa ultravioleta extrema. Com lasers de ondas contanuas, isso parece um esfora§o impossível. aons altamente interessantes, como o aon hanãlio semelhante ao hidrogaªnio, tem suas transições nessa faixa espectral, mas mesmo mais de 100 anos após o desenvolvimento da primeira teoria qua¢ntica, eles não podem ser estudados com precisão, ou seja, com luz laser. O experimento agora apresentado éuma etapa essencial para mudar essa situação insatisfata³ria. Além disso, espera-se que esses pentes de frequência ultravioleta permitam que elementos importantes biológica e quimicamente, como hidrogaªnio e carbono, sejam resfriados diretamente por laser, permitindo que a ciência os estude com precisão ainda maior.