Abstract
Abstract
This study presents the generalization of geometric phases in density matrices. We show that the extended sub-geometric phase has an unified expression during the adiabatic or nonadiabatic process and establish the relations between them and the usual Berry or Aharonov-Anandan phases. We also demonstrate the influence of sub-geometric phases on the physical observables. Finally, the above treatment is used to investigate the geometric phase in a mixed state.
Publisher
Springer Science and Business Media LLC
Reference18 articles.
1. Berry, M. V. Quantal phase factors accompanying adiabatic changes. Proc. R. Soc. London A 392, 45–57 (1984).
2. Simon, B. Holonomy, the Quantum Adiabatic Theorem, and Berry’s phase. Phys. Rev. Lett. 51, 2167–2170 (1983).
3. Shapere, A. & Wilczek, F. Geometric Phase in Physics. (World Scientific, Singapore, 1989).
4. Aitchison, I. J. R. Berry’s topological phase in quantum mechanics and quantum field theory. Phys. Scr. T 23, 12–20 (1988).
5. Kuratsuji, H. & Iida, S. Effective action for adiabatic process. Prog. Theor. Phys. 74, 439–445 (1985).
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献