论文标题
使用光学系统在动量空间中模拟拓扑系统并测量其拓扑数
Using Optical Systems to Simulate Topological Systems in Momentum Space and Measure Their Topological Numbers
论文作者
论文摘要
我们提出了一种用于拓扑系统光学量子模拟的新方案：通过使用光学系统来模拟动量空间中拓扑系统特征状态的变化，我们可以获得拓扑数的信息。在本文中，该方案应用于一维（1D）Su-Schrieffer-Heeger（SSH）模型和二维（2D）Bernevig-Hughes-Zhang（BHz）模型。此外，为了将我们的方案应用于2D拓扑系统，我们设计了一种按线积分计算拓扑数的方法。此外，我们为2D拓扑系统提出了一个更有效的光学仿真方案：我们在不连续点围绕不连续点进行光学模拟，以获得每个不连续点的涡度，而拓扑数只是所有不连续点的涡度的总和。
We propose a new scheme for optical quantum simulation of topological systems: by using optical systems to simulate the variation of eigenstates of topological systems in momentum space, we can obtain the information of topological numbers. In this paper the scheme is applied to the one-dimensional (1D) Su-Schrieffer-Heeger (SSH) model and the two-dimensional (2D) Bernevig-Hughes-Zhang (BHZ) model. In addition, in order to apply our scheme to 2D topological systems, we design a method of calculating topological numbers by line integral. Furthermore, we propose a more effective optical simulation scheme for the 2D topological system: we do the optical simulation around discontinuity points to obtain the vorticity of every discontinuity points and the topological number is just the sum of the vorticity of all discontinuity points.
