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...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 96043624(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.展开更多
基金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)+4 种基金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)Anhui Initiative in Quantum Information Technologies,China(Grant No.AHY060300)
文摘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 96043624(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.
