Berry phase and Hannay&apos;s angle in the Born-Oppenheimer hybrid systems

doi:10.1016/j.aop.2013.08.006

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	Berry phase and Hannay's angle in the Born-Oppenheimer hybrid systems
	Liu, H. D. ; Yi, X. X. ; Fu, L. B.
刊名	annals of physics
	2013
关键词	Berry phase Hannay&apos BO approximation Quantum-classical correspondence NONADIABATIC GEOMETRIC PHASE HOLONOMY POTENTIALS s angle
DOI	10.1016/j.aop.2013.08.006
英文摘要	In this paper, we investigate the Berry phase and Hannay's angle in the Born-Oppenheimer (BO) hybrid systems and obtain their algebraic expressions in terms of one form connection. The semiclassical relation of Berry phase and Hannay's angle is discussed. We find that, besides the usual connection term, the Berry phase of quantum BO composite system also 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, the similar phenomenon is founded in Hannay's angle of classical BO composite system, which indicates that the Berry phase and Hannay's angle possess the same relation as the usual one. An example is used to illustrate our theory. This scheme can be used to generate artificial gauge potentials for neutral atoms. Besides, the quantum-classical hybrid BO system is also studied to compare with the results in full quantum and full classical composite systems. (C) 2013 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000328518700001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Multidisciplinary; SCI(E); 1; ARTICLE; 1-10; 339
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/219124]
专题	工学院
推荐引用方式 GB/T 7714	Liu, H. D.,Yi, X. X.,Fu, L. B.. Berry phase and Hannay's angle in the Born-Oppenheimer hybrid systems[J]. annals of physics,2013.
APA	Liu, H. D.,Yi, X. X.,&Fu, L. B..(2013).Berry phase and Hannay's angle in the Born-Oppenheimer hybrid systems.annals of physics.
MLA	Liu, H. D.,et al."Berry phase and Hannay's angle in the Born-Oppenheimer hybrid systems".annals of physics (2013).