孤立拓扑表面态的Floquet模拟器
Floquet simulators for topological surface states in isolation
摘要：
我们提出了动态协议，允许工程实现的拓扑表面状态隔离。我们的方法建立在由驱动系统与不相称的频率产生的合成尺寸的概念。作为一个具体的例子，我们考虑了通过$(1+2_\mathrm{syn})$维协议的四维量子霍尔绝缘体的三维拓扑表面态。我们目前的第一原理分析计算表明，没有支持4D体相是需要一个三维拓扑表面相。我们通过数值模拟来支持分析方法，并提出了利用现有量子线性光网络器件技术实现合成表面相的详细蓝图。然后，我们讨论的概括，包括一个建议的量子模拟器的$(1+1_\mathrm{syn})$维表面的共同的三维拓扑绝缘体。
英文摘要：
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.
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。
