Fig. 5: Random transverse field Ising model on a chain.
From: Foundation neural-networks quantum states as a unified Ansatz for multiple hamiltonians
a Relative error of the variational energy on a cluster of N = 64 sites, fixing h0 = 1.0 on different train (left) and test (right) disorder realizations increasing the number of systems \({{{\mathcal{R}}}}\). The integer numbers (seeds) shown on the x-axis label different disorder realizations. Specifically, integers from 0 to 6 correspond to a set of seven different training disorder realizations, while those from 10 to 16 correspond to a set of test realizations. b Spin-spin correlation function averaged over \({{{\mathcal{R}}}}=1000\) disorder realizations at h0 = 1. The dashed line represent the theoretical power law behaviour with exponent η ≈ 0.382. c Square magnetization \({m}_{{h}_{0}}^{2}\) as a function of h0. At fixed h0 order parameter is obtained by averaging over \({{{\mathcal{R}}}}=1000\) different disorder realizations. The numerically exact results are reported as comparison with solid lines.
