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arXiv 1907.03311quant-phcond-mat.quant-gascond-mat.str-el
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Rydberg可配置阵列中新兴的二维规范理论

Emerging 2D Gauge theories in Rydberg configurable arrays

A. Celi, B. Vermersch, O. Viyuela, H. Pichler, M. D. Lukin, P. Zoller

摘要:

求解二维或三维空间中的强耦合规范理论在从高能物理到凝聚态物质的物理学的几个领域中具有根本的重要性。在晶格上,规范不变性和规范不变(格元)相互作用涉及(至少)四体相互作用,这是具有挑战性的实现。在这里,我们表明,在当前的镊子实验中实现的可配置阵列中的里德伯原子是实现Rokhsar-Kivelson哈密顿量的可扩展模拟器的天然平台-一种描述量子二聚体和自旋冰动力学的二维U(1)格点规范理论。使用电磁对偶性,我们实现的元格相互作用的拉比振荡受到里德堡封锁。值得注意的是,我们表明,通过控制阵列中的原子排列,我们可以设计各向异性的相互作用和广义封锁条件的自旋原子对。我们描述了如何制备共振价键和Rokhsar-Kivelson哈密顿量的晶体相,并通过现场测量它们的量子关联来探测它们及其猝灭动力学。我们讨论了我们的Rydberg模拟器的潜在应用格点规范理论和奇异自旋模型。

英文摘要:

Solving strongly coupled gauge theories in two or three spatial dimensions is of fundamental importance in several areas of physics ranging from high-energy physics to condensed matter. On a lattice, gauge invariance and gauge invariant (plaquette) interactions involve (at least) four-body interactions that are challenging to realize. Here we show that Rydberg atoms in configurable arrays realized in current tweezer experiments are the natural platform to realize scalable simulators of the Rokhsar-Kivelson Hamiltonian --a 2D U(1) lattice gauge theory that describes quantum dimer and spin-ice dynamics. Using an electromagnetic duality, we implement the plaquette interactions as Rabi oscillations subject to Rydberg blockade. Remarkably, we show that by controlling the atom arrangement in the array we can engineer anisotropic interactions and generalized blockade conditions for spins built of atom pairs. We describe how to prepare the resonating valence bond and the crystal phases of the Rokhsar-Kivelson Hamiltonian adiabatically, and probe them and their quench dynamics by on-site measurements of their quantum correlations. We discuss the potential applications of our Rydberg simulator to lattice gauge theory and exotic spin models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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