论文标题
旋转-1 kagome晶格上的非亚伯手性自旋液体：精确的哈密顿和数值优化的截断
Non-Abelian chiral spin liquid on spin-1 kagome lattice: truncation of an exact Hamiltonian and numerical optimization
论文作者
论文摘要
我们搜索有限的旋转-1 kagome系统的短距离哈密顿量，最大程度地与摩尔读状态的重叠最大化。我们的起点是从共形场理论获得的有限平面上这种状态的精确，远程父母的哈密顿量。对其进行了截断过程，该程序仅保留短期术语，并使在圆环上定义汉密尔顿人。最后，对剩余的系数进行了优化，以在精确的对角度结果和模型基态之间获得最大化的重叠。在最好的情况下，对于12个地点系统和18个地点系统的三个最低状态，这些重叠超过0.9和0.8，这表明所获得的汉密尔顿人是非亚洲拓扑秩序的好汉密尔顿人。
We search for short-range Hamiltonians of finite spin-1 kagome systems, maximizing the overlaps with lattice Moore-Read states. Our starting point is an exact, long-range parent Hamiltonian for such a state on a finite plane, obtained from conformal field theory. A truncation procedure is applied to it, which retains only short-range terms and makes it easy to define the Hamiltonian on a torus. Finally, the remaining coefficients are optimized, to yield maximized overlaps between exact diagonalization results and model ground states. In the best cases, these overlaps exceed 0.9 and 0.8 for the three lowest states of 12- and 18-site systems, respectively, suggesting that the obtained Hamiltonians are good parent Hamiltonians for a non-Abelian topological order.
