Quantum Entanglement on Boundaries

Abstract

Quantum entanglement in 3 spatial dimensions is studied in systems with physical boundaries when an entangling surface intersects the boundary. We show that there are universal logarithmic boundary terms in the entanglement Rényi entropy and derive them for different conformal field theories and geometrical configurations. The paper covers such topics as spectral geometry on manifolds with conical singularities crossing the boundaries, the dependence of the entanglement entropy on mutual position of the boundary and the entangling surface, effects of acceleration and rotation of the boundary, relations of coefficients in the trace anomaly to coefficients in the boundary logarithmic terms in the entropy. The computations are done for scalar, spinor and gauge fields.

25 pages, 3 figures

References in corpus (5)

• Holographic c-theorems in arbitrary dimensions
• Some Calculable Contributions to Entanglement Entropy
• Entanglement Entropy in Critical Phenomena and Analogue Models of Quantum Gravity
• Entanglement Entropy in Scalar Field Theory
• c-theorem of the entanglement entropy

Cited by in corpus (16)

• Universal Entanglement and Boundary Geometry in Conformal Field Theory
• On Holographic Defect Entropy
• CFT in AdS and boundary RG flows
• Anomalies, entropy and boundaries
• Entanglement Entropy for Probe Branes
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• Wilson Surface Central Charge from Holographic Entanglement Entropy
• Relating bulk to boundary entanglement
• Boundary effects in entanglement entropy
• Free energy and boundary anomalies on ${\mathbb{S}}^a\times {\mathbb{H}}^b$ spaces
• Regularizations of Action-Complexity for a Pure BTZ Black Hole Microstate
• Holographic calculation of entanglement entropy in the presence of boundaries
• Boundary-corner entanglement for free bosons
• Boundary Conformal Anomalies on Hyperbolic Spaces and Euclidean Balls
• Holographic Entanglement Entropy in Boundary Quantum Field Theory
• Entanglement Entropy Inequalities in BCFT by Holography