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Simple quantum graphs proposal for quantum devices

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Abstract

The control of the quantum transport is an issue of current interest for the construction of new devices. In this work, we investigate this possibility in the realm of quantum graphs. The study allows the identification of two distinct periodic quantum effects which are related to quantum complexity, one being the identification of transport inefficiency, and the other the presence of peaks of full transmission inside regions of suppression of transport in some elementary arrangements of graphs. Motivated by the power of quantum graphs, we elaborate on the construction of simple devices, based on microwave and optical fibers networks, and also on quantum dots, nanowires and nanorings. The elementary devices can be used to construct composed structures with important quantum properties, which may be used to manipulate the quantum transport.

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Acknowledgements

This work was partially supported by the Brazilian agencies Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Fundação Araucária (FAPPR, Grant 09/2016), Instituto Nacional de Ciência e Tecnologia de Informação Quântica (INCT-IQ), and Paraiba State Research Foundation (FAPESQ-PB, Grant 0015/2019). It was also financed by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES, Finance Code 001). FMA and DB also acknowledge CNPq Grants 313274/2017-7 (FMA), 434134/2018-0 (FMA), 306614/2014-6 (DB) and 404913/2018-0 (DB).

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Authors and Affiliations

  1. Programa de Pós-Graduação em Ciências/Física, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR, 84030-900, Brazil

    A. Drinko & F. M. Andrade

  2. Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR, 84030-900, Brazil

    F. M. Andrade

  3. Departamento de Física, Universidade Federal da Paraíba, João Pessoa, PB, 58051-900, Brazil

    D. Bazeia

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  1. A. Drinko
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Correspondence to F. M. Andrade.

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Drinko, A., Andrade, F.M. & Bazeia, D. Simple quantum graphs proposal for quantum devices. Eur. Phys. J. Plus 135, 451 (2020). https://doi.org/10.1140/epjp/s13360-020-00459-9

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