Some calculable contributions to entanglement entropy
Author(s)Hertzberg, Mark Peter; Wilczek, Frank
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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.
DepartmentMassachusetts Institute of Technology. Department of Physics
Physical Review Letters
American Physical Society
Hertzberg, Mark P. and Frank Wilczek. "Some Calculable Contributions to Entanglement Entropy." Phys. Rev. Lett. 106.5, 050404 (2011) [4 pages] © 2011 American Physical Society.
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