Some calculable contributions to entanglement entropy

Mark P. Hertzberg, Frank Wilczek

Research output: Contribution to journalArticlepeer-review

87 Scopus citations


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.

Original languageEnglish (US)
Article number050404
JournalPhysical Review Letters
Issue number5
StatePublished - Feb 4 2011
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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