Energy as witness of multipartite entanglement in spin clusters

Abstract

We derive energy minima for biseparable states in three- and four-spin systems, with Heisenberg Hamiltonian and s <= 5/2. These provide lower bounds for tripartite and quadripartite entanglement in chains and rings with larger spin number N. We demonstrate that the ground state of an $N$-spin Heisenberg chain is $N$-partite entangled, and compute the energy gap with respect to biseparable states for N <= 8.

References in corpus (4)

• Entanglement detection
• Multipartite entanglement in spin chains
• Spin-Electric Coupling in Molecular Magnets
• Energy as an Entanglement Witness for Quantum Many-Body Systems

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• Towards the chemical tuning of entanglement in molecular nanomagnets
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• Certification of genuine multipartite entanglement in spin ensembles with measurements of total angular momentum
• Genuine multipartite entanglement from many-electron systems