Linear optical approach to supersymmetric dynamics*

Project supported by the National Key Research and Development Program of China (Grant Nos. 2017YFA0304100 and 2016YFA0302700), the National Natural Science Foundation of China (Grant Nos. 11474267, 61327901, 11774335, and 61322506), Key Research Program of Frontier Sciences, Chinese Academy of Sciences (Grant No. QYZDY-SSW-SLH003), the Fundamental Research Funds for the Central Universities of China (Grant No. WK2470000026), the National Postdoctoral Program for Innovative Talents, China (Grant No. BX201600146), China Postdoctoral Science Foundation (Grant No. 2017M612073), and Anhui Initiative in Quantum Information Technologies, China (Grant No. AHY060300).

Zhan Yong-Tao1, 2, Xu Xiao-Ye1, 2, †, Wang Qin-Qin1, 2, Pan Wei-Wei1, 2, Jan Munsif1, 2, Chang Fu-Ming1, 2, Sun Kai1, 2, Xu Jin-Shi1, 2, Han Yong-Jian1, 2, ‡, Li Chuan-Feng1, 2, §, Guo Guang-Can1, 2
       

Implementation of time evolution operator. Panel (a) depicts the diffraction of light in free space (shadow) as the simulation of the propagator of free particle. Panel (b) shows a phase plate (rectangle) acting as a time evolution operator of a delta-kick potential. In (c), combination of (a) and (b) can realize a general time evolution operator for any time scale via the approximation of Suzuki–Trotter expansion (second order).