Magnon‐Mediated Long‐Range Entanglement in a Spin‐1/2 Heisenberg Chain Coupled to Magnetic Skyrmions

ABSTRACT Magnetic skyrmionic stray fields are functionalizable to trigger, maintain, and steer quantum entanglement in a coupled chain of localized spins. This is demonstrated by an exact‐diagonalization‐based study of the ground state and non‐equilibrium entanglement dynamics. The topology of the magnetic skyrmion is shown to be an essential ingredient. Ground state analysis of spins that are coupled locally to a skyrmionic texture and a global bias magnetic field reveals the existence of strongly and weakly entangled quantum phases with the entanglement being confined to the center of the magnetic texture. For quantum signal transmission, the entanglement dynamics of a magnonic excitation injected at one end of the quantum spin chain is obtained. Scattering is found to generate additional entanglement that is externally controllable by skyrmion and bias fields. In particular, the results illustrate a strong amplification of transmission of correlations by a pre‐entangled initial state. The analysis uncovers the possibility of a resonator setup of two skyrmionic textures which is capable of generating a long‐range entangled steady state after a single injected magnon is scattered by the textures. The findings point to the potential of classical non‐trivial magnetic textures as a generator and driver for quantum entanglement.