Using entanglement to discern phases in the disordered one-dimensional Bose-Hubbard model

We perform a matrix-product-state–based density matrix renormalisation group analysis of the phases for the disordered one-dimensional Bose-Hubbard model. For particle densities $N/L = 1$ , 1/2 and 2 we show that it is possible to obtain a full phase diagram using only the entanglement properties, which come for free when performing an update. We confirm the presence of Mott insulating, superfluid and Bose glass phases when $N/L = 1$ and 1/2 (without the Mott insulator) as found in previous studies. For the $N/L = 2$ system we find a double-lobed superfluid phase with possible re-entrance