Work

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

Year: 2025

Type: article

Abstract: We investigate the q = 2 SYK model with R -para-particles ( R − PSYK 2 ), 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. The model displays self-averaging behavior and exhibits an exponential ramp in its SFF dynamics: K ( t ) ∼ e C 0 t . The growth rate C 0 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.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/vw3x-mmgt

Author: Tingfei Li

Institutions: Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Hebei University, Zhejiang University

Language: English

Topic: Quantum chaos and dynamical systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Natural Science Foundation of China

Award: G4966918070