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From Dyson models to many-body quantum chaos

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Author(s):
Andreanov, Alexei ; Carrega, Matteo ; Murugan, Jeff ; Olle, Jan ; Rosa, Dario ; Shir, Ruth
Total Authors: 6
Document type: Journal article
Source: PHYSICAL REVIEW B; v. 111, n. 3, p. 9-pg., 2025-01-24.
Abstract

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)

FAPESP's process: 21/14335-0 - ICTP South American Institute for Fundamental Research: a regional center for Theoretical Physics
Grantee:Nathan Jacob Berkovits
Support Opportunities: Special Projects
FAPESP's process: 23/11832-9 - Quantum many-body systems: from quantum chaos to quantum technologies
Grantee:Dario Rosa
Support Opportunities: Research Grants - Young Investigators Grants