中国物理B ›› 2020, Vol. 29 ›› Issue (1): 14209-014209.doi: 10.1088/1674-1056/ab5efe

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Linear optical approach to supersymmetric dynamics

Yong-Tao Zhan(詹颙涛), Xiao-Ye Xu(许小冶), Qin-Qin Wang(王琴琴), Wei-Wei Pan(潘维韦), Munsif Jan, Fu-Ming Chang(常弗鸣), Kai Sun(孙凯), Jin-Shi Xu(许金时), Yong-Jian Han(韩永建), Chuan-Feng Li(李传锋), Guang-Can Guo(郭光灿)   

  1. 1 CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China;
    2 Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:2019-08-14 修回日期:2019-10-14 出版日期:2020-01-05 发布日期:2020-01-05
  • 通讯作者: Xiao-Ye Xu, Yong-Jian Han, Chuan-Feng Li E-mail:xuxiaoye@ustc.edu.cn;smhan@ustc.edu.cn;smhan@ustc.edu.cn
  • 基金资助:
    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).

Linear optical approach to supersymmetric dynamics

Yong-Tao Zhan(詹颙涛)1,2, Xiao-Ye Xu(许小冶)1,2, Qin-Qin Wang(王琴琴)1,2, Wei-Wei Pan(潘维韦)1,2, Munsif Jan1,2, Fu-Ming Chang(常弗鸣)1,2, Kai Sun(孙凯)1,2, Jin-Shi Xu(许金时)1,2, Yong-Jian Han(韩永建)1,2, Chuan-Feng Li(李传锋)1,2, Guang-Can Guo(郭光灿)1,2   

  1. 1 CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China;
    2 Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
  • Received:2019-08-14 Revised:2019-10-14 Online:2020-01-05 Published:2020-01-05
  • Contact: Xiao-Ye Xu, Yong-Jian Han, Chuan-Feng Li E-mail:xuxiaoye@ustc.edu.cn;smhan@ustc.edu.cn;smhan@ustc.edu.cn
  • Supported by:
    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).

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摘要： The concept of supersymmetry developed in particle physics has been applied to various fields of modern physics. In quantum mechanics, the supersymmetric systems refer to the systems involving two supersymmetric partner Hamiltonians, whose energy levels are degeneracy except one of the systems has an extra ground state possibly, and the eigenstates of the partner systems can be mapped onto each other. Recently, an interferometric scheme has been proposed to show this relationship in ultracold atoms[Phys. Rev. A 96 043624 (2017)]. Here this approach is generalized to linear optics for observing the supersymmetric dynamics with photons. The time evolution operator is simulated approximately via Suzuki-Trotter expansion with considering the realization of the kinetic and potential terms separately. The former is realized through the diffraction nature of light and the later is implemented using a phase plate. Additionally, we propose an interferometric approach which can be implemented perfectly using an amplitude alternator to realize the non-unitary operator. The numerical results show that our scheme is universal and can be realized with current technologies.

关键词: linear optics, supersymmetry, quantum simulation

Abstract: The concept of supersymmetry developed in particle physics has been applied to various fields of modern physics. In quantum mechanics, the supersymmetric systems refer to the systems involving two supersymmetric partner Hamiltonians, whose energy levels are degeneracy except one of the systems has an extra ground state possibly, and the eigenstates of the partner systems can be mapped onto each other. Recently, an interferometric scheme has been proposed to show this relationship in ultracold atoms[Phys. Rev. A 96 043624 (2017)]. Here this approach is generalized to linear optics for observing the supersymmetric dynamics with photons. The time evolution operator is simulated approximately via Suzuki-Trotter expansion with considering the realization of the kinetic and potential terms separately. The former is realized through the diffraction nature of light and the later is implemented using a phase plate. Additionally, we propose an interferometric approach which can be implemented perfectly using an amplitude alternator to realize the non-unitary operator. The numerical results show that our scheme is universal and can be realized with current technologies.

Key words: linear optics, supersymmetry, quantum simulation

中图分类号:  (Quantum optics)

  • 42.50.-p
03.67.-a (Quantum information) 11.30.Pb (Supersymmetry)