Dimensionality-induced entanglement in macroscopic dimer systems

Abstract

We investigate entanglement properties of mixtures of short-range spin- s dimer coverings in lattices of arbitrary topology and dimension. We show that in one spatial dimension nearest neighbor entanglement exists for any spin s. Surprisingly, in higher spatial dimensions there is a threshold value of spin s below which the nearest neighbor entanglement disappears. The traditional "classical" limit of large spin value corresponds to the highest nearest neighbor entanglement that we quantify using the negativity. © 2007 The American Physical Society.