How robust is the entanglement entropy-area relation?
Loading...
Date
2016-01-25
Authors
Das, Saurya
Shankaranarayanan, S.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
We revisit the problem of finding the entanglement entropy of a scalar field on a lattice by tracing
over its degrees of freedom inside a sphere. It is known that this entropy satisfies the area law –
entropy proportional to the area of the sphere – when the field is assumed to be in its ground state.
We show that the area law continues to hold when the scalar field degrees of freedom are in generic
coherent states and a class of squeezed states. However, when excited states are considered, the
entropy scales as a lower power of the area. This suggests that for large horizons, the ground state
entropy dominates, whereas entropy due to excited states gives power law corrections. We discuss
possible implications of this result to black hole entropy.
Description
Sherpa Romeo green journal. Permission to archive final published version.
Keywords
Entanglement entropy , Area law
Citation
Das, S., & Shankaranarayanan, S. (2006). How robust is the entanglement entropy-area relation? Physical Review D, 73(12), 121701. doi:10.1103/PhysRevD.73.121701