A note on the geometric phase in adiabatic approximation
D. M. Tong, K. Singh, L. C. Kwek, C. H. Oh
Abstract
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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