Dataset for "Generalized Spectral Statistics in the Kicked Ising model"

2025/06/18 by Gupta, Divij, Swingle, Brian
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.2506.15816

openalex publication_date 2025/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Dataset and code for manuscript "Generalized Spectral Statistics in the Kicked Ising model". Data eig6,7,0.6,314.1593,c.csv - Ising eigenvalue data used for Fig. 1 eig6,7,0.6,31.4159,c.csv - Ising eigenvalue data used for Figs. 2, 3, 4 eig6,7,0.6,31.4159,c.csv - Ising eigenvalue data used for Figs. 5, 6, 7 coe6,7.csv - COE eigenvalue data used for Figs. 1, 2, 3, 5, 6, 18 Code sff_fig.m - Code to process Ising data for Figs. 1, 2, 3, 5, 6 coe_fig.m - Code to process COE data for Figs. 1, 2, 3, 5, 6, 18 lsff_eig.m - Code to generate LSFF eigenvalues for Figs. 8, 9a, 11, 12a, 14, 16 lsff_plots.m - Code to process LSFF data for Figs. 8, 9a, 14 lsff4_plots.m - Code to process LSFF data for Figs. 11, 12a, 16 sff_direct.m - Code to generate Ising data for Fig. 18 sff_eig.m - Dependency for sff_direct.m to generate Loschmidt time evolution matrices kron_mult.m - Dependency for lsff_eig.m, sff_eig.m to take repeated Kronecker products

Citations

• Statistics of the Random Matrix Spectral Form Factor
• The moments of the spectral form factor in SYK
• Particle-Time Duality in the Kicked Ising Chain I: The Dual Operator
• Random matrix ensembles associated to compact symmetric spaces

Related

• Extreme value statistics and eigenstate thermalization in kicked quantum chaotic spin-1/2 chains
• The moments of the spectral form factor in SYK
• Spectral form factor in chaotic, localized, and integrable open quantum many-body systems
• Quantum Ising model in transverse and longitudinal fields: chaotic wave functions
• Integrability and Chaos via fractal analysis of Spectral Form Factors: Gaussian approximations and exact results