发表机构
Quantum Advanced Research Center (QuARC), CSIC; Instituto de Ciencia de Materiales de Madrid (ICMM), CSIC; Departamento de Física Teórica de la Materia Condensada, Universidad Autónoma de Madrid; Universidad Autónoma de Madrid（量子先进研究中心; 马德里材料科学研究所; 马德里自治大学凝聚态物理理论系; 马德里自治大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究证明瞬态自旋-轨道耦合可催化Fermi-Hubbard模型中的磁化扇区转移，通过将对称性保护的交叉转为避免交叉，并借助GRAPE和变分量子电路加速，实现快速磁态转换。
AI 中文摘要
我们展示了自旋-轨道耦合（SOC）对半填充Fermi-Hubbard模型中磁化扇区转移的催化作用。在没有SOC的情况下，总磁化守恒将动力学限制在初始扇区内，阻止反铁磁关联态在塞曼斜坡下到达极化铁磁扇区。瞬态SOC控制通过耦合原本不相连的磁化扇区并将对称性保护的交叉转换为避免交叉，从而消除了这一障碍，为磁态转换开辟了有限能隙路径。我们进一步利用梯度上升脉冲工程（GRAPE）和变分量子电路，将SOC启用的动力学加速到绝热时间尺度之外。这两种方法在一维和二维Fermi-Hubbard晶格中均实现了快速磁化转移。我们的结果确立了瞬态SOC作为克服对称性施加的动力学约束的可控催化剂，而最优控制则设定了由此产生的磁化扇区转移的时间尺度。
英文摘要
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.
CommentsMain text: 7 pages, 4 figures. Supplemental Material: 12 pages, 4 figures
