物理学报Issue(10)：18-21,4.DOI:10.7498/aps.62.100302
Born-Oppenheimer近似下谐振子场驱动电磁模系统的Berry相和Hannay角*
Berry phase and Hannay’s angle of an electromagnetic mode system driven by harmonic field with Born-Oppenheimer approximation∗
摘要
Abstract
In this paper, we investigate the Berry phase and Hannay’s angle of an electromagnetic mode system driven by harmonic field with Born-Oppenheimer approximation and obtain their algebraic expressions by theoretical calculation. The semiclassical relation between Berry phase and Hannay’s angle is discussed. We find that besides the usual connection term, the Berry phase of BO hybrid system contains a novel term brought forth by the coupling induced effective gauge potential. This quantum modification can be viewed as an effective Aharonov-Bohm effect. Moreover, a similar phenomenon is founded in the Hannay’s angle of classical BO hybrid system, which indicates that the Berry phase and Hannay’s angle possess the same relation as the usual one. Besides, our theory can also be used to generate Artificial gauge potentials for neutral atoms.关键词
Berry相/Hannay角/量子经典对应/Born-Oppenheimer近似Key words
Berry phase/Hannay’s angle/quantum-classical correspondence/Born-Oppenheimer approximation引用本文复制引用
刘昊迪†..Born-Oppenheimer近似下谐振子场驱动电磁模系统的Berry相和Hannay角*[J].物理学报,2013,(10):18-21,4.基金项目
国家自然科学基金(批准号:10971247)、河北省自然科学基金(批准号:A2012205013, A2010000344)和中央高校基本科研业务费专项资金(批准号:2011B025)资助的课题.@@@@Project supported by the National Natural Science Foundation of China (Grant No.10971247), the Hebei Natural Science Foundation of China (Grant Nos. A2012205013, A2010000344), and the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant No.2011B025) （批准号:10971247）
