论文标题
二维$ \ mathrm {u（1）} $ gauge理论的量子仿真
Quantum Simulation of Two-Dimensional $\mathrm{U(1)}$ Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays
论文作者
论文摘要
模拟$ \ mathrm {u（1）} $ Quantum仪表理论的空间尺寸大于一个具有很大的物理意义，但尚未实验。在这里，我们提出了一个简单的实现$ \ mathrm {u（1）} $量规理论，上面是三角形晶格rydberg arom阵列。在实验可访问的范围内，我们发现有效的模型很好地模拟了$ \ mathrm {u（1）} $仪表理论的各个方面，例如拓扑领域的出现，不可约合性的出现和脱合的Rokhsar-Kivelson Point。与以前的提案相比，我们的建议易于实验实现，并且表现出明显的量子动力学，并且意识到$ \ mathrm {u（1）} $和$ \ Mathbb z_2 $ gauge理论。
Simulating $\mathrm{U(1)}$ quantum gauge theories with spatial dimension greater than one is of great physical significance yet has not been achieved experimentally. Here we propose a simple realization of $\mathrm{U(1)}$ gauge theory on triangular lattice Rydberg atom arrays. Within experimentally accessible range, we find that the effective model well simulates various aspects of the $\mathrm{U(1)}$ gauge theory, such as emergence of topological sectors, incommensurability, and the deconfined Rokhsar-Kivelson point. Our proposal is easy to implement experimentally and exhibits pronounced quantum dynamics compared with previous proposals realizing $\mathrm{U(1)}$ and $\mathbb Z_2$ gauge theories.
