Spin-Orbit-Mediated Magnetization Transfer in the Fermi-Hubbard Model

Abstract:We demonstrate spin--orbit-coupling (SOC) catalysis of magnetization-sector transfer in the half-filled Fermi--Hubbard model. Without SOC, conservation of total magnetization confines the dynamics to the initial sector, preventing an antiferromagnetically correlated state from reaching the polarized ferromagnetic sector under a Zeeman ramp. A transient SOC control lifts this obstruction by coupling otherwise disconnected magnetization sectors and converting symmetry-protected crossings into avoided crossings, thereby opening a finite-gap pathway for magnetic-state conversion. We further accelerate the SOC-enabled dynamics beyond the adiabatic timescale using gradient-ascent pulse engineering (GRAPE) and a variational quantum circuit. Both approaches achieve rapid magnetization transfer in one- and two-dimensional Fermi--Hubbard lattices. Our results establish transient SOC as a controllable catalyst for overcoming symmetry-imposed dynamical constraints, while optimal control sets the timescale for the resulting magnetization-sector transfer.

Main text: 7 pages, 4 figures. Supplemental Material: 12 pages, 4 figures

arXiv:2609.25936 [quant-ph]

(or arXiv:2609.25936v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.25936 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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