Entropy, entanglement, and area: analytical results for harmonic lattice systems.

@article{Plenio2005EntropyEA,
  title={Entropy, entanglement, and area: analytical results for harmonic lattice systems.},
  author={Martin Bodo Plenio and Jens Eisert and J Dressig and Marcus Cramer},
  journal={Physical review letters},
  year={2005},
  volume={94 6},
  pages={
          060503
        }
}
We revisit the question of the relation between entanglement, entropy, and area for harmonic lattice Hamiltonians corresponding to discrete versions of real free Klein-Gordon fields. For the ground state of the d-dimensional cubic harmonic lattice we establish a strict relationship between the surface area of a distinguished hypercube and the degree of entanglement between the hypercube and the rest of the lattice analytically, without resorting to numerical means. We outline extensions of… 

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