https://doi.org/10.1140/epjp/s13360-024-05460-0
Regular Article
Scattering entropies of quantum graphs with several channels
1
Programa de Pós-Graduação em Ciências/Física, Universidade Estadual de Ponta Grossa, 84030-900, Ponta Grossa, Paraná, Brazil
2
Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, 84030-900, Ponta Grossa, Paraná, Brazil
3
Departamento de Física, Universidade Federal da Paraíba, 58051-900, João Pessoa, Paraíba, Brazil
Received:
1
February
2024
Accepted:
14
July
2024
Published online:
26
July
2024
This work deals with the scattering entropy of quantum graphs in many different circumstances. We first consider the case of the Shannon entropy and then the Rényi and Tsallis entropies, which are more adequate to study distinct quantitative behavior such as entanglement and nonextensive behavior, respectively. We describe many results associated with different types of quantum graphs in the presence of several vertices, edges, and leads. In particular, we think the results may be used as quantifiers in models related to the transport in quantum graphs.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
