Indicator values for the many-body localization of the Heisenberg spin chain at various energies, system sizes and disorder magnitude

This data set accompanies the preprint Scalable approach to many-body localization via quantum data (arXiv: 2202.08853) and its code, available at GitHub.

It consists of the numerically obtained indicator values for the many-body localization for the Heisenberg model (see preprint for details and background) for various values of the energy density \(\epsilon = 0.05, 0.1, \dots, 0.9, 0.95\) and for chain lengths \(L = 10, 12, 14\). For each tuple \((\epsilon,L)\), there exist two files, representing the training and the test set, respectively. Each such file contains various values of the disorder parameter \(h = 0.5, 1, \dots, 14.5, 15\) with \(N = 1000\ (100)\) sampled realizations of the disorder vector for each \(h\) for the training (test) set, followed by the three calculated values of the three indicators.

The data is automatically processable by the code provided in the GitHub repository.