Fig. 7
Lyapunov Spectrum for a thermofield MPS respresentation of Ising model dynamics. a Non-integrable case with J = 1, hx = 0.5, hz = 1. b Integrable case with J = 1, hx = 0.5, hz = 0. c Nearly integrable case with J = 1, hx = 0.5, hz = 0.1. In all cases, the spectrum is obtained for a wavefunction MPS at bond order \({\Bbb D} = 16\). The non-integrable case appears to fit a semi-circle distribution with radius r = 0.39, the integrable case appears to be Gaussian with standard deviation σ = 0.167 and the nearly integrable case appears to be Gaussian with standard deviation σ = 0.161
