摘要
本文使用含时规范变换方法针对计算单模光场和单个二能级原子相互作用n光子[1]情形下的几何相位,得出:体系非绝热近似的几何相位正比于平均光子数m,而反比于跃迁的光子数n;在特定条件下,非绝热几何相位与绝热几何相位一致,否则出现附加的非平庸相因子.
The geometric phase of multi-photon for a single-mode field and a single two level atom interaction is calculated using the time-dependent gauge transformation. The results show that the non-adiabatic approximate Berry phase is parameter-dependent, proportional to the average photon number m, and inversely proportional to the transition photon number n. It has been found that the non-adiabatic geometric phase factor coincides with the adiabatic geometric phase factor under some special conditions only, otherwise there appears an addi- tional nontrivial phase factor.
出处
《山西师范大学学报(自然科学版)》
2017年第3期49-52,共4页
Journal of Shanxi Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11404198
11275118
91430109)
山西省高等学校科技创新项目(2014102)
山西大学科研启动金(011151801004)
山西大学本科生科研训练项目(2015013175)
国家基础科学人才培养基金资助(J1103210)
关键词
n光子
含时规范变换方法
几何相位
muhi-photon
time-dependent gauge transformation
geometric phase