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
       

Interferometric approach to implement the supersysmmetric dynamics.[17] The system, which is initialized in ψi, is split into two parts: one evolves according to the time evolution U^(1)(t) firstly and thereafter an operator B^† (green line); the other is diametrically opposite (the orange line). It is supposed that, if the two Hamiltonians governing the evolution of the two parts are superpartner, the final states ψf(1)(t) and ψf(2)(t) are equal and a constructive interference should be observed after the second beam splitter.