Note on the q=2 R-para-fermionic SYK model

2025/03/31 by Li, Tingfei · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2503.23967

Abstract

We investigate the q=2 SYK model with R-para-particles (R-PSYK₂), analyzing its thermodynamics and spectral form factor (SFF) using random matrix theory. The Hamiltonian is quadratic, with coupling coefficients randomly drawn from the Gaussian Unitary Ensemble (GUE). The model displays self-averaging behavior and exhibits an exponential ramp in its SFF dynamics: K(t) ∼ e^C₀t. The growth rate C₀ tends toward either a constant or infinity in the N→ ∞ limit, depending on specific statistics of the model. These results provide novel perspectives on quantum systems with unconventional statistics.

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• Spectral form factor of quadratic R-para-particle SYK model with Random Matrix Coupling

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