Topological aspects of the non-adiabatic Berry phase

作者: A. Mostafazadeh , Arno R Bohm

DOI: 10.1088/0305-4470/26/20/030

关键词:

摘要: The topology of the non-adiabatic parameter space bundle is discussed for evolution exact cyclic state vectors in Berry's original example split angular momentum eigenstates. It turns out that change occurs at a critical frequency. first Chern number classifies these bundles proportional to momentum. principal over not well defined

参考文章(10)
Arno Bohm, Luis J. Boya, Ali Mostafazadeh, Gerd Rudolph, Classification theorem for principal fibre bundles, Berry's phase, and exact cyclic evolution Journal of Geometry and Physics. ,vol. 12, pp. 13- 28 ,(1993) , 10.1016/0393-0440(93)90085-S
Siddhartha Sen, Charles Nash, John Stachel, Topology and geometry for physicists ,(1983)
Y. Aharonov, J. Anandan, Phase change during a cyclic quantum evolution. Physical Review Letters. ,vol. 58, pp. 1593- 1596 ,(1987) , 10.1103/PHYSREVLETT.58.1593
Isidor Isaac Rabi, Use of Rotating Coordinates in Magnetic Resonance Problems Reviews of Modern Physics. ,vol. 26, pp. 167- 171 ,(1954) , 10.1103/REVMODPHYS.26.167
Barry Simon, Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase Physical Review Letters. ,vol. 51, pp. 2167- 2170 ,(1983) , 10.1103/PHYSREVLETT.51.2167
Michael Victor Berry, Quantal phase factors accompanying adiabatic changes Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 392, pp. 45- 57 ,(1984) , 10.1098/RSPA.1984.0023
J. Anandan, L. Stodolsky, Some Geometrical Considerations of Berry's Phase Physical Review D. ,vol. 35, pp. 2597- 2600 ,(1987) , 10.1103/PHYSREVD.35.2597
J. Anandan, Y. Aharonov, Geometric quantum phase and angles Physical Review D. ,vol. 38, pp. 1863- 1870 ,(1988) , 10.1103/PHYSREVD.38.1863