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Bulk entanglement entropy in perturbative excited states
by Alexandre Belin, Nabil Iqbal, Sagar F. Lokhande
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Submission summary
Authors (as registered SciPost users):  Alexandre Belin · Nabil Iqbal · Sagar F. Lokhande 
Submission information  

Preprint Link:  https://arxiv.org/abs/1805.08782v3 (pdf) 
Date accepted:  20180910 
Date submitted:  20180905 02:00 
Submitted by:  Lokhande, Sagar F. 
Submitted to:  SciPost Physics 
Ontological classification  

Academic field:  Physics 
Specialties: 

Approach:  Theoretical 
Abstract
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$_3$.
List of changes
1. Fixed a missing 1/n factor in equation (2.11). $theta$ now becomes $\theta/n$.
2. A typo in the definition of $z$ in equation (2.10) corrected and a few clarificatory words added just above this equation.
3. Forgotten factors of $\frac{1}{1n}\log$ in equations (2.12), (2.15), (2.17) and (2.21) put in. These do not change any preceding or succeeding expressions.
Published as SciPost Phys. 5, 024 (2018)