Quantum computing of magnetic-skyrmion-like patterns in Heisenberg ferromagnets

Abstract

We diagonalize the quantum two-dimensional spin-1/2 Heisenberg model with Dzyaloshinskii-Moriya interaction (DMI) by applying the variational quantum eigensolver, running on a quantum-computer simulator, which turns out to be a more efficient approach than a classical direct diagonalization for systems with more than 17 sites. The calculated external-magnetic-field dependence of the total energy, of the magnetization, as well as of the topological charge exhibits a distinctive discontinuity which hints for the existence of zero-temperature magnetic skyrmions-like structures at the quantum level, controlled by the combination of the exchange-coupling and the DMI parameters. The potentially measurable jump in the magnetization upon changing the field indicates the investigated objects as stable enough for eventual applications in spintronics or even as information carriers.

5 pages, 7 figures, accepted for publication in Phys. Rev Research 22th May 2025

References in corpus (6)

• The Variational Quantum Eigensolver: a review of methods and best practices
• Skyrmion Qubits: A New Class of Quantum Logic Elements Based on Nanoscale Magnetization
• Universal quantum computation based on nanoscale skyrmion helicity qubits in frustrated magnets
• Controlled Creation of Quantum Skyrmions
• Quantum Skyrmion Lattices in Heisenberg Ferromagnets
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Cited by in corpus (2)

• Proposal for realizing quantum-spin systems on a two-dimensional square lattice with Dzyaloshinskii-Moriya interaction by Floquet engineering using Rydberg atoms
• Bridging Quantum and Classical Descriptions of Spin Dynamics in a Dzyaloshinsky-Moriya Trimer