Probing nonlocal correlations in magnetic rare-earth clusters

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.

8 pages, 8 figures

References in corpus (20)

• Quantum entanglement
• Topological entanglement entropy
• Entanglement detection
• Entropy and Area
• Measuring entanglement entropy through the interference of quantum many-body twins
• Quantum entanglement in condensed matter systems
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Everything You Always Wanted to Know About LOCC (But Were Afraid to Ask)
• Spin Excitations and Correlations in Scanning Tunneling Spectroscopy
• Colloquium: Atomic spin chains on surfaces
• STM Single Atom/Molecule Manipulation and Its Application to Nanoscience and Technology
• Designer quantum states of matter created atom-by-atom
• Quantum Energy Teleportation in Spin Chain Systems
• Engineering the spin couplings in atomically crafted spin chains on an elemental superconductor
• Entanglement-assisted quantum communication with simple measurements
• Navigating the 16-dimensional Hilbert space of a high-spin donor qudit with electric and magnetic fields
• Experimental Activation of Strong Local Passive States with Quantum Information
• Quantum Engineered Kondo Lattices
• Entanglement entropy of XX spin $1/2$ chain with random partitioning at arbitrary temperature
• Spin and electronic excitations in $4f$ atomic chains on Au(111) substrates