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From Dyson models to many-body quantum chaos

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Autor(es):
Andreanov, Alexei ; Carrega, Matteo ; Murugan, Jeff ; Olle, Jan ; Rosa, Dario ; Shir, Ruth
Número total de Autores: 6
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW B; v. 111, n. 3, p. 9-pg., 2025-01-24.
Resumo

A deep understanding of the mechanisms underlying many-body quantum chaos is one of the big challenges in contemporary theoretical physics. We tackle this problem in the context of a set of perturbed quadratic SachdevYe-Kitaev (SYK) Hamiltonians defined on graphs. This allows us to disentangle the geometrical properties of the underlying single-particle problem and the importance of the interaction terms, showing that the former is the dominant feature ensuring the single-particle to many-body chaotic transition. Our results are verified numerically with state-of-the-art numerical techniques, capable of extracting eigenvalues in a desired energy window of very large Hamiltonians. Our approach essentially provides a new way of viewing many-body chaos from a single-particle perspective. (AU)

Processo FAPESP: 21/14335-0 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para Física Teórica
Beneficiário:Nathan Jacob Berkovits
Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais
Processo FAPESP: 23/11832-9 - Sistemas quânticos de muitos corpos: do caos quântico até tecnologias quânticas
Beneficiário:Dario Rosa
Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores