Bulk entanglement entropy in perturbative excited states

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

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
• Electronic 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
• Public URL: https://durham-repository.worktribe.com/output/1348567
• Related Public URLs: https://arxiv.org/abs/1805.08782