SciPost Phys. 5, 024 (2018) ·
published 20 September 2018

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We compute the bulk entanglement entropy across the RyuTakayanagi surface
for a oneparticle 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 nontrivial check in a state where the answer is not dictated
by symmetry. Along the way, we provide closedform expressions for the scalar
field Bogoliubov coefficients that relate the global and Rindler slicings of
AdS$_3$.
Mr Lokhande: "We thank the referee for their..."
in Report on Bulk entanglement entropy in perturbative excited states