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Durham University

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Publication details for Nabil Iqbal

Belin, Alexandre, Iqbal, Nabil & Lokhande, Sagar F. (2018). Bulk entanglement entropy in perturbative excited states. SciPost Physics 5(3): 024.

Author(s) from Durham

Abstract

We compute the bulk entanglement entropy across the Ryu-Takayanagi surface for a oneparticle
state in a scalar field theory in AdS3
. 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 AdS3.