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 spacial dimension nearest neighbour entanglement exists for any spin $s$. Surprisingly, in higher spatial dimensions there is a threshold value of spin $s$ below which the nearest neighbour entanglement disappears. The traditional "classical" limit of large spin value corresponds to the highest nearest neighbour entanglement that we quantify using the negativity.

4 pages, 2 figures

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• A computable measure of entanglement
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• Observation of resonance condensation of fermionic atom pairs
• Regional versus Global Entanglement in Resonating-Valence-Bond states
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Cited by in corpus (5)

• Separability and entanglement in finite dimer-type chains in general transverse fields
• Entanglement signatures for the dimerization transition in the Majumdar-Ghosh model
• Generalized mean field description of entanglement in dimerized spin systems
• Entanglement in doped Resonating Valence Bond states
• Pair entanglement in dimerized spin-s chains