Control of entanglement transitions in quantum spin clusters

Abstract

Clustered quantum materials provide a new platform for the experimental study of many-body entanglement. Here we address a simple model of a single-molecule nano-magnet featuring N interacting spins in a transverse field. The field can induce an entanglement transition (ET). We calculate the magnetisation, low-energy gap and neutron-scattering cross-section and find that the ET has distinct signatures, detectable at temperatures as high as 5% of the interaction strength. The signatures are stronger for smaller clusters.

14 pages, 11 Figures; minor changes; Phys. Rev. B (accepted)

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• Separability and parity transitions in $XYZ$ spin systems under nonuniform fields
• The quantification of a genuine tetrapartite entanglement in a mixed spin-(1/2,1) Heisenberg tetramer
• Two-spin and multi-spin quantum entanglement in V12 polyoxovanadate molecular nanomagnet
• Fitness landscape for quantum state tomography from neutron scattering