期刊
PHYSICAL REVIEW B
卷 100, 期 23, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.100.235112
关键词
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资金
- National Natural Science Foundation of China (NSFC) [11335012, 11325522, 11735001]
- Boya Postdoctoral Fellowship at Peking University
- Fondation Courtois
- Discovery Grant from NSERC
- Canada Research Chair
- Etablissement de nouveaux chercheurs et de nouvelles chercheuses universitaires grant from FRQNT
- Calcul Quebec
- Compute Canada
Quantum many-body systems have a rich structure in the presence of boundaries. We study the ground states of conformal field theories (CFTs) and Lifshitz field theories in the presence of a boundary through the lens of the entanglement entropy. For a family of theories in general dimensions, we relate the universal terms in the entanglement entropy of the bulk theory with the corresponding terms for the theory with a boundary. This relation imposes a condition on certain boundary central charges. For example, in 2 + 1 dimensions, we show that the corner-induced logarithmic terms of free CFTs and certain Lifshitz theories are simply related to those that arise when the corner touches the boundary. We test our findings on the lattice, including a numerical implementation of Neumann boundary conditions. We also propose an ansatz, the boundary extensive mutual information model, for a CFT with a boundary whose entanglement entropy is purely geometrical. This model shows the same bulk-boundary connection as Dirac fermions and certain supersymmetric CFTs that have a holographic dual. Finally, we discuss how our results can be generalized to all dimensions as well as to massive quantum field theories.
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