论文标题
$ \ mathbb {z} _2 $ lattice量规的量子模拟的现实方案,具有$(2+1)$ d的动态物质
Realistic scheme for quantum simulation of $\mathbb{Z}_2$ lattice gauge theories with dynamical matter in $(2+1)$D
论文作者
论文摘要
在许多物理学的许多学科中,从粒子到凝结物理物理学的数学学科中,耦合到动态物质的量规场无处不在,但是它们在大规模量子模拟器中的实现仍然具有挑战性。在这里,我们为Rydberg Atom阵列实验提出了一个现实的方案,其中$ \ Mathbb {Z} _2 $ gauge结构具有动态费用,在实验相关的时间表上仅来自局部两体相互作用和两个空间维度的一体术语。该方案可以对各种模型进行实验研究,包括$(2+1)$ D $ \ Mathbb {Z} _2 $晶格量规理论与蜂窝晶格上的不同类型的动态物质和量子二聚体模型耦合,为此我们得出有效的汉密尔顿人。我们讨论了实验最相关的有效$ \ mathbb {z} _2 $晶格量表理论的地面相图,其动力学具有各种限制性和脱落的量子自旋液相。此外,我们提出了具有直接实验相关性的选定探针,包括无序定位的特征和两种指控的热反式过渡。
Gauge fields coupled to dynamical matter are ubiquitous in many disciplines of physics, ranging from particle to condensed matter physics, but their implementation in large-scale quantum simulators remains challenging. Here we propose a realistic scheme for Rydberg atom array experiments in which a $\mathbb{Z}_2$ gauge structure with dynamical charges emerges on experimentally relevant timescales from only local two-body interactions and one-body terms in two spatial dimensions. The scheme enables the experimental study of a variety of models, including $(2+1)$D $\mathbb{Z}_2$ lattice gauge theories coupled to different types of dynamical matter and quantum dimer models on the honeycomb lattice, for which we derive effective Hamiltonians. We discuss ground-state phase diagrams of the experimentally most relevant effective $\mathbb{Z}_2$ lattice gauge theories with dynamical matter featuring various confined and deconfined, quantum spin liquid phases. Further, we present selected probes with immediate experimental relevance, including signatures of disorder-free localization and a thermal deconfinement transition of two charges.