Some Calculable Contributions to Entanglement Entropy

Details Some Calculable Contributions to Entanglement Entropy Some Calculable Contributions to Entanglement Entropy

2010-07-06

arxiv.org/abs/1007.0993v2

Phys.Rev.Lett.106:050404,2011

Physics

High Energy Physics

High Energy Physics - Theory

4+ pages, 1 figure. v2: Some clarifications and more references; updated to resemble version published in PRL

Scientific paper

10.1103/PhysRevLett.106.050404

Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on correlation length, we extract finite, calculable contributions to the entanglement entropy for a scalar field between the interior and exterior of a spatial domain of arbitrary shape. The leading term is proportional to the area of the dividing boundary; we also extract finite subleading contributions for a field defined in the bulk interior of a waveguide in 3+1 dimensions, including terms proportional to the waveguide's cross-sectional geometry; its area, perimeter length, and integrated curvature. We also consider related quantities at criticality and suggest a class of systems for which these contributions might be measurable.

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