摘要
Berry phase of higher-dimensional orbital angular momentum of light is studied.When an Nth order orbital state,described by a vector in(N+1)-dimensional space,evolves through a closed path in space of orbital states,there will exist a higher order orbital Berry phase.We calculate this phase by using the matrix transformation theory.A direct measurement of the higher-order orbital Berry phase is also carried out by the interference method.The experimental results are in good agreement with the theoretical description,which shows that the Berry phase is proportional to the orbital angular momentum of light.
基金
Supported by the Education Program for Talented Students of Xi’an Jiaotong University,the National Natural Science Foun-dation of China under Grant Nos 11074198,11004158,11174233 and 11074199
the Doctoral Fund of the Ministry of Education of China under Grant No 20120201110035.