Entanglement entropy from entanglement contour: Higher dimensions

Han M, Wen Q (2022)

Publication Type: Journal article

Publication year: 2022


Book Volume: 5

Article Number: 020

Journal Issue: 2

DOI: 10.21468/SciPostPhysCore.5.2.020


We study the entanglement contour and partial entanglement entropy (PEE) in quantum field theories in 3 and higher dimensions. The entanglement entropy is evaluated from a certain limit of the PEE with a geometric regulator. In the context of the entanglement contour, we classify the geometric regulators, study their difference from the UV regulators. Furthermore, for spherical regions in conformal field theories (CFTs) we find the exact relation between the UV and geometric cutoff, which clarifies some subtle points in the previous literature. We clarify a subtle point of the additive linear combination (ALC) proposal for PEE in higher dimensions. The subset entanglement entropies in the ALC proposal should all be evaluated as a limit of the PEE while excluding a fixed class of local-short-distance correlation. Unlike the 2-dimensional configurations, naively plugging the entanglement entropy calculated with a UV cutoff will spoil the validity of the ALC proposal. We derive the entanglement contour function for spherical regions, annuli and spherical shells in the vacuum state of general-dimensional CFTs on a hyperplane.

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Han, M., & Wen, Q. (2022). Entanglement entropy from entanglement contour: Higher dimensions. SciPost Physics Core, 5(2). https://dx.doi.org/10.21468/SciPostPhysCore.5.2.020


Han, Muxin, and Qiang Wen. "Entanglement entropy from entanglement contour: Higher dimensions." SciPost Physics Core 5.2 (2022).

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