论文标题
表征具有被困离子的远程海森堡模型的拓扑激发
Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions
论文作者
论文摘要
在合成量子系统中实现和表征相互作用的拓扑阶段是一个巨大的挑战。在这里，我们提出了一种Floquet协议，以实现具有幂律衰减相互作用的防铁磁性海森堡模型。基于分析和数值参数，我们表明该模型具有从液体到价键固体的量子相变，可自发打破晶格翻译对称性，并让人联想到Majumdar-Ghosh状态。可以通过测量完全二聚体状态的演变来动态探测不同的阶段。此外，我们引入了一种干涉方案，以表征相互作用的多体系统的拓扑激发和大量拓扑不变。
Realizing and characterizing interacting topological phases in synthetic quantum systems is a formidable challenge. Here, we propose a Floquet protocol to realize the antiferromagnetic Heisenberg model with power-law decaying interactions. Based on analytical and numerical arguments, we show that this model features a quantum phase transition from a liquid to a valence bond solid that spontaneously breaks lattice translational symmetry and is reminiscent of the Majumdar-Ghosh state. The different phases can be probed dynamically by measuring the evolution of a fully dimerized state. We moreover introduce an interferometric protocol to characterize the topological excitations and the bulk topological invariants of the interacting many-body system.
