The bipartite ground-state entanglement structure of the linear harmonic chain was analyzed. The modewise decomposition of entangled Gaussian states was applied to study the structure of vaccum entanglement for two complimentary segments of a linear harmonic chain. It was found that the entangled mode-shape hierarchy showed a distinctive layered structure with well-defined relations between the depth of the modes, their characteristic wavelength, and their entanglement contribution. It was concluded that the persistence of vaccum entanglement between arbitrarily separeted finite-size regions was connected with the localization of the highest-frequency innermost modes.
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|Issue number||5 A|
|State||Published - Nov 2004|