Quantum Simulation of the Universal Features of the Polyakov Loop.
Quantum Simulation of the Universal Features of the Polyakov Loop.
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DOI：
10.1103/physrevlett.121.223201
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发表时间：
2018-03
影响因子：
8.6
通讯作者：
Jin Zhang;J. Unmuth-Yockey;Johannes Zeiher;A. Bazavov;Shan-Wen Tsai;Y. Meurice
中科院分区：
文献类型：
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作者：
Jin Zhang;J. Unmuth-Yockey;Johannes Zeiher;A. Bazavov;Shan-Wen Tsai;Y. Meurice
格点规范理论是我们理解高能物理的基础。然而，寻找合适的量子模拟平台已经证明是困难的。我们表明，阿贝尔希格斯模型在1+1维是一个主要的候选人的实验量子模拟的格点规范理论。为此，我们使用一个离散张量的重新制定，以顺利地连接在大多数数值晶格模拟中使用的时空各向同性版本的连续时间限制对应的哈密顿公式。哈密顿量的本征态是中性的周期性边界条件，但我们探测的非零电荷部门通过引入一个Polyakov环或外部电场。在这两种情况下，我们得到的通用功能有关的质量间隙，规范耦合，和空间的大小，这是不变的变形下的时间晶格间距。我们建议使用一个物理的多腿梯子的原子被困在光学晶格和相互作用与里德伯装扮的相互作用，量子模拟模型和检查的普遍特征。我们的结果提供了一个路径的模拟量子模拟的格点规范理论与原子的光学晶格。
Lattice gauge theories are fundamental to our understanding of high-energy physics. Nevertheless, the search for suitable platforms for their quantum simulation has proven difficult. We show that the Abelian Higgs model in 1+1 dimensions is a prime candidate for an experimental quantum simulation of a lattice gauge theory. To this end, we use a discrete tensor reformulation to smoothly connect the space-time isotropic version used in most numerical lattice simulations to the continuous-time limit corresponding to the Hamiltonian formulation. The eigenstates of the Hamiltonian are neutral for periodic boundary conditions, but we probe the nonzero charge sectors by introducing either a Polyakov loop or an external electric field. In both cases we obtain universal functions relating the mass gap, the gauge coupling, and the spatial size, which are invariant under the deformation of the temporal lattice spacing. We propose to use a physical multileg ladder of atoms trapped in optical lattices and interacting with Rydberg-dressed interactions to quantum simulate the model and check the universal features. Our results provide a path to the analog quantum simulation of lattice gauge theories with atoms in optical lattices.