论文标题
Rydberg原子阵列的仪表理论描述具有可调式封锁半径
Gauge theory description of Rydberg atom arrays with a tunable blockade radius
论文作者
论文摘要
我们讨论了一个从仪表理论的角度来看，具有可调式封锁半径的rydberg原子链。当封锁半径是一个晶格间距时，可以通过PXP模型来制定该系统，并且有一个$ \ Mathbb {z} _2 $ ising相变已知，已知相当于限制性限制过渡中的限制理论，即lattice Schwinger模型。进一步增加了封锁半径，可以在PXP模型中添加最新的邻居（NNN）相互作用。我们讨论了NNN相互作用的解释，从仪表理论方面以及有限的NNN相互作用如何改变反馈行为并提出相应的实验方案。当封锁半径达到两个晶格间距时，该模型将减小为PPXPP模型。制定了相当于PPXPP模型的新型量规理论，并描绘了两个公式中的相位。这些结果很容易在Rydberg量子模拟器中实验探索。
We discuss a Rydberg atom chain with a tunable blockade radius from the gauge theoretic perspective. When the blockade radius is one lattice spacing, this system can be formulated in terms of the PXP model, and there is a $\mathbb{Z}_2$ Ising phase transition known to be equivalent to a confinement-deconfinement transition in a gauge theory, the lattice Schwinger model. Further increasing the blockade radius, one can add a next-nearest neighbor (NNN) interaction into the PXP model. We discuss the interpretation of NNN interaction in terms of the gauge theory and how finite NNN interaction alters the deconfinement behavior and propose a corresponding experimental protocol. When the blockade radius reaches two lattice spacing, the model reduces to the PPXPP model. A novel gauge theory equivalent to the PPXPP model is formulated, and the phases in the two formulations are delineated. These results are readily explored experimentally in Rydberg quantum simulators.
