论文标题
量子模拟的高维SO（4） - 对称rydberg歧管
High-dimensional SO(4)-symmetric Rydberg manifolds for quantum simulation
论文作者
论文摘要
我们开发了一个工具箱，用于操纵在线性Stark和Zeeman效果方面以高维氢的歧管制备的Rydberg原子的阵列。我们利用SO（4）对称性来表征静态电场和磁场的作用以及在结构良好的状态歧管上具有主量子数$ n $的状态的微波和光场。这使我们能够构建通用的大型海森堡模型，以制定国家预先准备和读数方案。由于可用的内部希尔伯特空间，这些模型为量子场理论的量子模拟提供了自然的框架，我们为正弦 - 戈登和庞大的Schwinger模型的情况说明了这一点。此外，这些高维歧管还为基于Qudit的量子计算执行量子信息处理操作提供了机会，我们用纠缠的门和圆形Rydberg级附近各州的州转移协议来示例。
We develop a toolbox for manipulating arrays of Rydberg atoms prepared in high-dimensional hydrogen-like manifolds in the regime of linear Stark and Zeeman effect. We exploit the SO(4) symmetry to characterize the action of static electric and magnetic fields as well as microwave and optical fields on the well-structured manifolds of states with principal quantum number $n$. This enables us to construct generalized large-spin Heisenberg models for which we develop state-preparation and readout schemes. Due to the available large internal Hilbert space, these models provide a natural framework for the quantum simulation of Quantum Field Theories, which we illustrate for the case of the sine-Gordon and massive Schwinger models. Moreover, these high-dimensional manifolds also offer the opportunity to perform quantum information processing operations for qudit-based quantum computing, which we exemplify with an entangling gate and a state-transfer protocol for the states in the neighborhood of the circular Rydberg level.
