Operationally Accessible Entanglement in the 1D Bose-Hubbard Model*

Conserved quantities, such as the total particle number in a many-body system, may reduce the amount of entanglement that is operationally accessible as a resource for quantum information processing. This reduction can be quantified via the accessible or symmetry-resolved entanglement entropies, which take these conservation laws into account. In this talk, we present quantum Monte Carlo results for the Rényi generalized accessible entanglement in the ground state of the Bose-Hubbard model accross the superfluid-insulator quantum phase transition in one dimension. We move beyond previous exact diagonalization studies and present results for the scaling with respect to the size of the spatial biparition at the critical point and discuss the role of particle number fluctuations in reducing the entanglement.