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Entanglement Entropy as a Probe Beyond the Horizon
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The entanglement entropy of a free field in de Sitter space is enhanced by the squeezing of its modes. We show analytically that the expansion induces a term in the entanglement entropy that depends logarithmically on the size of the overall system, which may extend beyond the horizon. In cosmology the size of the system can be identified with the size of a spatially finite universe, or with the wavelength of the first mode that exited the horizon in the beginning of inflation.
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Cited by 3 Pith papers
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Entanglement Entropy of a Scalar Field in Anti-de Sitter Space
For a free massive scalar in AdS4, the UV-divergent entanglement entropy of centered spherical regions takes a fitted form whose logarithmic coefficient, -1/90 plus (-mu^2 a^2/6 - 1/3) times the proper area, matches c...
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Boundary Conditions and Entanglement in Anti-de Sitter Space
For a conformally coupled scalar in AdS4, the UV-divergent entanglement entropy is independent of boundary conditions, while the UV-finite part acquires a boundary-condition dependent R^2/a^2 correction with coefficie...
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Entanglement on a Sphere
The entanglement entropy of a scalar field on the R×S^3 Einstein universe has an infrared contribution from the zero mode with coefficient c_IR = 1/6, distinct from the de Sitter value 1/3.
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