Bulk entanglement entropy in perturbative excited states

Abstract

We compute the bulk entanglement entropy across the Ryu-Takayanagi surface for a one-particle 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 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 AdS${}_3$.

35 pages, 5 figures; v2 references added; v3: Typos corrected, as requested by a SciPost Physics referee. The referee report can be found at https://scipost.org/submission/1805.08782v2/

References in corpus (17)

• Towards a derivation of holographic entanglement entropy
• Holography from Conformal Field Theory
• Holographic representation of local bulk operators
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Entanglement entropy of two disjoint intervals in conformal field theory II
• Relative entropy and the Bekenstein bound
• Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
• Entanglement of low-energy excitations in Conformal Field Theory
• Entwinement and the emergence of spacetime
• Entanglement of Local Operators in large N CFTs
• From Euclidean Sources to Lorentzian Spacetimes in Holographic Conformal Field Theories
• Relative entropy of excited states in conformal field theories of arbitrary dimensions
• Shell-Filling Effect in the Entanglement Entropies of Spinful Fermions
• Charged Renyi entropies and holographic superconductors
• Relative Entanglement Entropies in 1+1-dimensional conformal field theories
• Black holes from CFT: Universality of correlators at large c
• Entanglement Entropies of the quarter filled Hubbard model

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