Data associated to the paper "Phase diagram detection via Gaussian fitting of number probability distribution"

We investigate the number probability density function that characterizes subportions of a quantum many-body system with globally conserved number of particles. We put forward a linear fitting protocol capable of mapping out the ground-state phase diagram of the rich one-dimensional extended Bose-Hubbard model: The results are quantitatively comparable with more sophisticated traditional and machine learning techniques. We argue that the studied quantity should be considered among the most informative bipartite properties, being moreover readily accessible in atomic gases experiments.The dataset contains the entanglement spectra of several configurations of the extended Bose-Hubbard model ground state for different systems' sizes.