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Entropy, Entanglement, and Area: Analytical Results for Harmonic Lattice Systems

Entropy, Entanglement, and Area: Analytical Results for Harmonic Lattice Systems

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 …