Bulk entanglement entropy in perturbative excited states

Belin, Alexandre; Iqbal, Nabil; Lokhande, Sagar F.

doi:10.21468/scipostphys.5.3.024

Bulk entanglement entropy in perturbative excited states

Belin, Alexandre; Iqbal, Nabil; Lokhande, Sagar F.

Authors

Alexandre Belin

Dr Nabil Iqbal nabil.iqbal@durham.ac.uk
Professor

Sagar F. Lokhande

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.

Citation

Belin, A., Iqbal, N., & Lokhande, S. F. (2018). Bulk entanglement entropy in perturbative excited states. SciPost Physics, 5(3), Article 024. https://doi.org/10.21468/scipostphys.5.3.024

Journal Article Type	Article
Acceptance Date	Sep 11, 2018
Online Publication Date	Sep 20, 2018
Publication Date	Sep 20, 2018
Deposit Date	Sep 20, 2018
Publicly Available Date	Oct 16, 2018
Journal	SciPost Physics.
Print ISSN	2542-4653
Publisher	SciPost
Peer Reviewed	Peer Reviewed
Volume	5
Issue	3
Article Number	024
DOI	https://doi.org/10.21468/scipostphys.5.3.024
Related Public URLs	https://arxiv.org/abs/1805.08782