Density matrix renormalization group for disordered bosons in one dimension

We calculate the zero-temperature phase diagram of the disordered Bose-Hubb ard model in one dimension using the density matrix renormalization group. For integer filling the Mott insulator is always separated from the superfl uid by a Bose glass phase. There is a re-entrance of the Bose glass both as a function of the repulsive interaction and of disorder. At half-filling w here no Mott insulator exists, the superfluid density has a maximum where t he kinetic and repulsive energies are about the same. Superfluidity is supp ressed both for small and very strong repulsion but is always monotonic in disorder.