Entanglement across a cubic interface in 3+1 dimensions

Article

关键词: CRITICAL EXPONENTS;    EXPANSIONS;    SYSTEMS;    ENTROPY;   

DOI  :  10.1103/PhysRevB.90.054415

来源: SCIE

【 摘 要 】

We calculate the area, edge, and corner Renyi entanglement entropies in the ground state of the transverse-field Ising model, on a simple-cubic lattice, by high-field and low-field series expansions. We find that while the area term is positive and the line term is negative as required by strong subadditivity, the corner contributions are positive in three dimensions. Analysis of the series suggests that the expansions converge up to the physical critical point from both sides. The leading area-law Renyi entropies match nicely from the high-and low-field expansions at the critical point, forming a sharp cusp there. We calculate the coefficients of the logarithmic divergence associated with the corner entropy and compare them with conformal field theory results with smooth interfaces and find a striking correspondence.

【 授权许可】

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