Unsupervised techniques to detect quantum chaos

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorShamoon College of Engineering-
Autor(es): dc.contributorUniversity of Luxembourg-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorInstitute for Basic Science (IBS)-
Autor(es): dc.creatorNemirovsky, Dmitry-
Autor(es): dc.creatorShir, Ruth-
Autor(es): dc.creatorRosa, Dario-
Autor(es): dc.creatorKagalovsky, Victor-
Data de aceite: dc.date.accessioned2025-08-21T18:29:11Z-
Data de disponibilização: dc.date.available2025-08-21T18:29:11Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2023-12-31-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/303372-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/303372-
Descrição: dc.descriptionConventional spectral probes of quantum chaos require eigenvalues, and sometimes, eigenvectors of the quantum Hamiltonian. This involves computationally expensive diagonalization procedures. We test whether an unsupervised neural network can detect quantum chaos directly from the Hamiltonian matrix. We use a single-body Hamiltonian with an underlying random graph structure and random coupling constants, with a parameter that determines the randomness of the graph. The spectral analysis shows that increasing the amount of randomness in the underlying graph results in a transition from integrable spectral statistics to chaotic ones. We show that the same transition can be detected via unsupervised neural networks, or more specifically, self-organizing maps by feeding the Hamiltonian matrix directly into the neural network, without any diagonalization procedure.-
Descrição: dc.descriptionShamoon College of Engineering-
Descrição: dc.descriptionDepartment of Physics and Materials Science University of Luxembourg-
Descrição: dc.descriptionICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP — Univ. Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz 271, SP-
Descrição: dc.descriptionCenter for Theoretical Physics of Complex Systems Institute for Basic Science (IBS)-
Descrição: dc.descriptionICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP — Univ. Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz 271, SP-
Formato: dc.format1255-1263-
Idioma: dc.languageen-
Relação: dc.relationFizika Nizkikh Temperatur-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectquantum chaos-
Palavras-chave: dc.subjectquantum Hamiltonian-
Palavras-chave: dc.subjectrandom matrix theory-
Palavras-chave: dc.subjectself-organizing maps-
Palavras-chave: dc.subjectspectral analysis-
Palavras-chave: dc.subjectunsupervised neural network-
Título: dc.titleUnsupervised techniques to detect quantum chaos-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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