Spectral form factor in chaotic, localized, and integrable open quantum many-body systems

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Two transitions in complex eigenvalue statistics: Hermiticity and integrability breaking

G Akemann, F Balducci, A Chenu, P Päßler… - arxiv preprint arxiv …, 2024 - arxiv.org
Open quantum systems have complex energy eigenvalues which are expected to follow non-
Hermitian random matrix statistics when chaotic, or 2-dimensional (2d) Poisson statistics …
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Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model

P Nandy, T Pathak, M Tezuka - arxiv preprint arxiv:2406.11969, 2024 - arxiv.org
Utilizing singular value decomposition, our investigation focuses on the spectrum of the
singular values within a sparse non-Hermitian Sachdev-Ye-Kitaev (SYK) model. Unlike the …
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