Is entanglement entropy proportional to area?

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Date
2016-01-25
Authors
Ahmadi, Morteza
Das, Saurya
Shankaranarayanan, S.
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Abstract
It is known that the entanglement entropy of a scalar field, found by tracing over its degrees of freedom inside a sphere of radius R, is proportional to the area of the sphere (and not its volume). This suggests that the origin of black hole entropy, also proportional to its horizon area, may lie in the entanglement between the degrees of freedom inside and outside the horizon. We examine this proposal carefully by including excited states, to check probable deviations from the area law.
Description
Sherpa Romeo green journal. Permission to archive author manuscript.
Keywords
Entanglement entropy , Black hole entropy , Area
Citation
Ahmadi, M., Das, S., & Shankaranarayanan, S. (2006). Is entanglement entropy proportional to area? Canadian Journal of Physics, 84(6-7), 493-499. http://doi.org/10.1139/p06-002
URI
https://hdl.handle.net/10133/3966
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Das, Saurya