标题： 共振场在李尔量子自旋晶格中诱导能量塔 显示英文标题

标题： Resonant Fields Inducing Energy Towers in Lieb Quantum Spin Lattice

摘要： 我们研究了在Lieb晶格上的铁磁XXZ海森堡模型。当施加共振交错磁场时，基于受限谱生成代数（RSGA）构造了一组精确本征态。这些态与两个耦合角动量系统的本征态相同。此外，我们发现RSGA可以近似应用于Lieb晶格的其他本征态。数值模拟表明存在遵循准RSGA的本征态集合。这些态在低能激发谱中作为能量塔存在，表明它们是量子多体疤痕。 显示英文摘要

摘要： We study a ferromagnetic XXZ Heisenberg model on a Lieb lattice. A set of exact eigenstates is constructed based on the restricted spectrum generating algebra (RSGA) when a resonant staggered magnetic field is applied. These states are identical to the eigenstates of a system of two coupled angular momenta. Furthermore, we find that the RSGA can be applied to other eigenstates of the Lieb lattice in an approximate manner. Numerical simulations reveal that there exist sets of eigenstates, which obey a quasi-RSGA. These states act as energy towers within the low-lying excited spectrum, indicating that they are quantum many-body scars.