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Entanglement entropy in long-range harmonic oscillators
We study the Von Neumann and R\'enyi entanglement entropy of long-range
harmonic oscillators (LRHO) by both theoretical and numerical means. We show
that the entanglement entropy in massless harmonic oscillators increases
logarithmically with the sub-system size as .
Although the entanglement entropy of LRHO's shares some similarities with the
entanglement entropy at conformal critical points we show that the R\'enyi
entanglement entropy presents some deviations from the expected conformal
behavior. In the massive case we demonstrate that the behavior of the
entanglement entropy with respect to the correlation length is also logarithmic
as the short range case.Comment: Published version, 5 figure
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