  We compute the bulk entanglement entropy across the Ryu-Takayanagi surface
for a one-particle state in a scalar field theory in AdS$_3$. We work directly
within the bulk Hilbert space and include the spatial spread of the scalar
wavefunction. We give closed form expressions in the limit of small interval
sizes and compare the result to a CFT computation of entanglement entropy in an
excited primary state at large $c$. Including the contribution from the
backreacted minimal area, we find agreement between the CFT result and the FLM
and JLMS formulas for quantum corrections to holographic entanglement entropy.
This provides a non-trivial check in a state where the answer is not dictated
by symmetry. Along the way, we provide closed-form expressions for the scalar
field Bogoliubov coefficients that relate the global and Rindler slicings of
AdS$_3$.
