Using optical systems to simulate topological systems in momentum space and measure their topological numbers

Feng，Zhongcheng1,2; Wu，Jiansheng1,2

2023-05-01

10.1016/j.physo.2023.100145

Physics Open   Impact Factor & Quartile

2666-0326

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.

Momentum space Optical system Quantum simulation Topological number Vorticity

ESCI

English

First ; Corresponding

WOS:001051704000001

2-s2.0-85149421349

Scopus

1.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
2.International Quantum Academy,Shenzhen,518055,China

Feng，Zhongcheng,Wu，Jiansheng. Using optical systems to simulate topological systems in momentum space and measure their topological numbers[J]. Physics Open,2023,15.

Feng，Zhongcheng,&Wu，Jiansheng.(2023).Using optical systems to simulate topological systems in momentum space and measure their topological numbers.Physics Open,15.

Feng，Zhongcheng,et al."Using optical systems to simulate topological systems in momentum space and measure their topological numbers".Physics Open 15(2023).