论文标题
统一Kitaev磁铁,Kagome Dimer模型和Ruby Rydberg旋转液体
Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
论文作者
论文摘要
量子自旋液体(QSL)的探索已由不同的方法进行指导,包括共鸣价键(RVB)图片,剥离的晶格量表理论和Kitaev模型。最近,在Rydberg封锁机构的启发下,在红宝石晶格上建立了自旋液态基态。在这里,我们将这些多样化的方法统一在单亲哈密顿量中,其中,Anyons的局部波动稳定了反馈。在KagoméTriangles上定义了Hamiltonian,每个人都托管了四个类似RVB的状态 - 仅包括Ising Issing交互和单位横向场。在弱场极限中,恢复了红宝石旋转液体和恰好可溶性的Kagomé二聚体模型,而强场极限则减少到Kitaev Honeycomb模型,从而统一了三种看似不同的QSL方法。同样,我们获得了手性的Yao-Kivelson模型,蜂窝状的旋转代码和新的Spin-1四极摩尔Kitaev模型。通过非本地映射到kagoméising抗fiferromagnet,最后显示了最后一个位于QSL期。我们演示了我们框架的各种应用,包括(a)红宝石晶格模型与准确可溶的Kagomé二聚体模型的绝热变形,最终确定了前者的QSL相; (b)揭开在Ruby晶格旋转液体的Rydberg实施中测量非对角线的动态方案。更普遍地,我们发现Kitaev耦合与新兴二聚体模型所使用的排斥相互作用之间的紧密联系。例如,我们展示了红宝石晶格上的Spin-1/2 XXZ模型如何编码Kitaev Honeycomb模型,从而提供了一种新的途径,以实现后者在冷原子或固态系统中。
The exploration of quantum spin liquids (QSLs) has been guided by different approaches including the resonating valence bond (RVB) picture, deconfined lattice gauge theories and the Kitaev model. More recently, a spin liquid ground state was numerically established on the ruby lattice, inspired by the Rydberg blockade mechanism. Here we unify these varied approaches in a single parent Hamiltonian, in which local fluctuations of anyons stabilize deconfinement. The parent Hamiltonian is defined on kagomé triangles -- each hosting four RVB-like states -- and includes only Ising interactions and single-site transverse fields. In the weak-field limit, the ruby spin liquid and exactly soluble kagomé dimer models are recovered, while the strong-field limit reduces to the Kitaev honeycomb model, thereby unifying three seemingly different approaches to QSLs. We similarly obtain the chiral Yao-Kivelson model, honeycomb toric code and a new spin-1 quadrupolar Kitaev model. The last is shown to be in a QSL phase by a non-local mapping to the kagomé Ising antiferromagnet. We demonstrate various applications of our framework, including (a) an adiabatic deformation of the ruby lattice model to the exactly soluble kagomé dimer model, conclusively establishing the QSL phase in the former; and (b) demystifying the dynamical protocol for measuring off-diagonal strings in the Rydberg implementation of the ruby lattice spin liquid. More generally, we find an intimate connection between Kitaev couplings and the repulsive interactions used for emergent dimer models. For instance, we show how a spin-1/2 XXZ model on the ruby lattice encodes a Kitaev honeycomb model, providing a new route toward realizing the latter in cold-atom or solid-state systems.