Published October 31, 2026
| Version v4
Software
Open
Codes for "Quantum typicality survives non-Abelian gauge constraints: exact analytical prediction in SU(2) lattice gauge theory"
Description
The model is pure SU(2) lattice gauge theory on L_x x L_y periodic lattices. It is
truncated at j_max = 1/2, with j_max = 1 as a check, and works in the spin-network basis
of the gauge-invariant Hilbert space with the Kogut-Susskind Hamiltonian
H = g^2 sum_e j_e(j_e+1) - g^-2 sum_p Re Tr U_p (g^2 = 1). The quantity studied is the
mutual information (in bits) between two links, chiefly the strictly disjoint pair
h(0,0), h(0,1).
This version includes numerics/check_tails_2x5_2x6.py and its output numerics/tails_2x5_2x6.txt.
This version also includes independent_checks/, a second implementation of the Hamiltonian written separately
from numerics/su2ham.py, with the checks of SM Secs. SIV and SVIII built on it and their
outputs; table numbers updated to the revised manuscript.