A note on the geometric phase in adiabatic approximation

Details A note on the geometric phase in adiabatic approximation A note on the geometric phase in adiabatic approximation

2004-06-22

arxiv.org/abs/quant-ph/0406163v4

Phys. Lett. A 339(2005)288

Physics

Quantum Physics

11 pages, no figure, modified and Journal-ref added

Scientific paper

10.1016/j.physleta.2005.03.043

The adiabatic theorem shows that the instantaneous eigenstate is a good approximation of the exact solution for a quantum system in adiabatic evolution. One may therefore expect that the geometric phase calculated by using the eigenstate should be also a good approximation of exact geometric phase. However, we find that the former phase may differ appreciably from the latter if the evolution time is large enough.

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