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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Asymptotic Gaussian law for noninteracting indistinguishable particles in random networks

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Autor(es):
Shchesnovich, Valery S.
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: SCIENTIFIC REPORTS; v. 7, FEB 16 2017.
Citações Web of Science: 2
Resumo

For N indistinguishable bosons or fermions impinged on a M-port Haar-random unitary network the average probability to count n(1), ... n(r) particles in a small number r << N of binned-together output ports takes a Gaussian form as N >> 1. The discovered Gaussian asymptotic law is the well-known asymptotic law for distinguishable particles, governed by a multinomial distribution, modified by the quantum statistics with stronger effect for greater particle density N/M. Furthermore, it is shown that the same Gaussian law is the asymptotic form of the probability to count particles at the output bins of a fixed multiport with the averaging performed over all possible configurations of the particles in the input ports. In the limit N -> infinity, the average counting probability for indistinguishable bosons, fermions, and distinguishable particles differs only at a non-vanishing particle density N/M and only for a singular binning K/M -> 1, where K output ports belong to a single bin. (AU)

Processo FAPESP: 15/23296-8 - Comportamento de partículas idênticas em redes quânticas e o Boson Sampling
Beneficiário:Valery Shchesnovich
Modalidade de apoio: Auxílio à Pesquisa - Regular