  In this paper, we study symmetry-resolved entanglement entropy in free
bosonic quantum many-body systems. Precisely, by making use of the lattice
regularization scheme, we compute symmetry-resolved R\'enyi entropies for free
complex scalar fields as well as for a simple class of non-local field theories
in which entanglement entropy exhibits volume-law scaling. We present effective
and approximate eigenvalues for the correlation matrix used to compute the
symmetry-resolved entanglement entropy and show that they are consistent with
the numerical results. Furthermore, we explore the equipartition of
entanglement entropy and verify an effective equipartition in the massless
limit. Finally, we make a comment on the entanglement entropy in the non-local
quantum field theories and write down an explicit expression for the
symmetry-resolved R\'enyi entropies.
