论文标题
使用组合量规对称性构建非亚伯量子自旋液体
Constructing Non-Abelian Quantum Spin Liquids Using Combinatorial Gauge Symmetry
论文作者
论文摘要
我们构建仅具有1个体和2体相互作用的汉密尔顿人，这些相互作用表现出精确的非亚洲规格对称性（特别是组合量规对称性）。我们的自旋汉密尔顿人意识到与四季度相关的量子双重。它仅包含铁磁和抗铁磁$ zz $相互作用，以及纵向和横向场，因此是旋转汉密尔顿的明确例子，没有任何符号问题，没有符号问题，这实现了非亚伯式拓扑阶段。除了自旋模型外，我们还提出了具有相同对称性的超导量子电路版本。
We construct Hamiltonians with only 1- and 2-body interactions that exhibit an exact non-Abelian gauge symmetry (specifically, combinatiorial gauge symmetry). Our spin Hamiltonian realizes the quantum double associated to the group of quaternions. It contains only ferromagnetic and anti-ferromagnetic $ZZ$ interactions, plus longitudinal and transverse fields, and therefore is an explicit example of a spin Hamiltonian with no sign problem that realizes a non-Abelian topological phase. In addition to the spin model, we propose a superconducting quantum circuit version with the same symmetry.
