论文标题
孤立的拓扑表面状态的浮子模拟器
Floquet simulators for topological surface states in isolation
论文作者
论文摘要
我们提出了动态方案，允许孤立地设计拓扑表面状态的工程实现。我们的方法建立在通过频率不相差的驱动系统产生的合成维度的概念上。作为一个具体的示例，我们通过$（1+2_ \ Mathrm {syn}）$ - 尺寸协议来考虑4D量子厅绝缘子的3D拓扑表面状态。我们提出了第一个原理分析计算，表明3D拓扑表面相不需要支撑4D散装相。我们通过数值模拟来支持分析方法，并提供了详细的蓝图，以通过现有的量子线性光学网络设备技术实现合成表面相。然后，我们讨论概括，包括$（1+1_ \ mathrm {syn}）$尺寸表面的量子模拟器的建议。
We propose dynamical protocols allowing for the engineered realization of topological surface states in isolation. Our approach builds on the concept of synthetic dimensions generated by driving systems with incommensurate frequencies. As a concrete example, we consider 3d topological surface states of a 4d quantum Hall insulator via a $(1+2_\mathrm{syn})$-dimensional protocol. We present first principle analytical calculations demonstrating that no supporting 4d bulk phase is required for a 3d topological surface phase. We back the analytical approach by numerical simulations and present a detailed blueprint for the realization of the synthetic surface phase with existing quantum linear optical network device technology. We then discuss generalizations, including a proposal for a quantum simulator of the $(1+1_\mathrm{syn})$ dimensional surface of the common 3d topological insulator.
