Probing nonlocal correlations in magnetic rare-earth clusters

• URL: http://arxiv.org/abs/2412.00660v2
• Date: Mon, 20 Jan 2025 19:20:15 GMT
• Title: Probing nonlocal correlations in magnetic rare-earth clusters
• Authors: David W. Facemyer, Sergio E. Ulloa,
• Abstract summary: We study rare-earth spin complexes and their unique magnetic properties. Our analysis reveals a one-to-one correspondence between structures in the differential conductance profiles. Distinct braiding patterns in the conductance profiles are shown to correspond to stepwise changes in the entanglement entropy.
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• Abstract: Understanding and quantifying entanglement entropy is crucial to characterize the quantum behaviors that drive phenomena in a variety of systems. Rare-earth spin complexes, with their unique magnetic properties, provide fertile ground for exploring these nonlocal correlations. In this work, we study Eu$^{2+}$ ions deposited on a Au(111) substrate, modeling finite clusters of large spin-moments using a Heisenberg Hamiltonian parameterized by first-principles calculations. Our analysis reveals a one-to-one correspondence between structures in the differential conductance profiles and changes in the von Neumann entanglement entropy of bipartite subsystems, influenced by probe-ion separation and applied magnetic fields. Distinct braiding patterns in the conductance profiles are shown to correspond to stepwise changes in the entanglement entropy, providing a new avenue for investigating quantum correlations. These results establish a foundation for experimentally probing and controlling entanglement in lanthanide-based systems, with potential applications in quantum technologies.

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