Articles with "spectral form" as a keyword



Spectral form factor of quadratic R-para-particle SYK model with random matrix coupling

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Published in 2025 at "Journal of High Energy Physics"

DOI: 10.1007/jhep10(2025)225

Abstract: This paper investigates the spectral form factor (SFF) of the quadratic R-para-particle Sachdev-Ye-Kitaev (R-PSYK2) model with various random matrix ensemble couplings. We generalize previous work on Gaussian Unitary Ensemble (GUE) couplings to all three Gaussian… read more here.

Keywords: quadratic para; random matrix; para particle; form factor ... See more keywords

Spectral form factor in a minimal bosonic model of many-body quantum chaos.

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Published in 2022 at "Physical review. E"

DOI: 10.1103/physreve.106.024208

Abstract: We study spectral form factor in periodically kicked bosonic chains. We consider a family of models where a Hamiltonian with the terms diagonal in the Fock space basis, including random chemical potentials and pairwise interactions,… read more here.

Keywords: many body; form factor; spectral form;

Generalized spectral form factor in random matrix theory.

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Published in 2024 at "Physical review. E"

DOI: 10.1103/physreve.109.064208

Abstract: The spectral form factor (SFF) plays a crucial role in revealing the statistical properties of energy-level distributions in complex systems. It is one of the tools to diagnose quantum chaos and unravel the universal dynamics… read more here.

Keywords: generalized spectral; spectral form; level; form factor ... See more keywords

Many-Body Quantum Chaos and Emergence of Ginibre Ensemble.

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Published in 2022 at "Physical review letters"

DOI: 10.1103/physrevlett.130.140403

Abstract: We show that non-Hermitian Ginibre random matrix behaviors emerge in spatially extended many-body quantum chaotic systems in the space direction, just as Hermitian random matrix behaviors emerge in chaotic systems in the time direction. Starting… read more here.

Keywords: body quantum; many body; spectral form; ginibre ensemble ... See more keywords