Quantum entanglement on boundaries

A bstract 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 theori...

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Bibliographic Details
Published in:The journal of high energy physics 2013-07, Vol.2013 (7), p.1-25, Article 119
Main Author: Fursaev, D.V.
Format: Article
Language:English
Subjects:
Boundaries
Classical and Quantum Gravitation
Elementary Particles
Entanglement
Entropy
High energy physics
Manifolds (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum mechanics
Quantum Physics
Relativity Theory
Scalars
Singularities
Spectra
String Theory
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2013)119