Potsdam University Potsdam Quantum Optics Group

Universität Potsdam
Institut für Physik
Karl-Liebknecht-Str. 24/25
14476 Potsdam-Golm
Potsdam Quantum Optics Group: Home

Potsdam Quantum Optics Group: Teaching

Potsdam Quantum Optics Group: Research

Potsdam Quantum Optics Group: How to find us


M. B. Plenio, J. Eisert, J. Dreissig, and M. Cramer
Entropy, Entanglement, and Area: Analytical Results for Harmonic Lattice Systems
Phys. Rev. Lett. 94 (2005) 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 these results to longer ranged interactions, finite temperatures and for classical correlations in classical harmonic lattice systems. These findings further suggest that the tools of quantum information science may help in establishing results in quantum field theory that were previously less accessible.

[ quant-ph/0405142 ]

file generated: 22 Nov 2006

printer-friendly version