Two geometric phases can dramatically differ from each other even if their evolution paths are sufficiently close in a pointwise manner

Da-Jian Zhang, P. Z. Zhao, G. F. Xu

One milestone in quantum physics is Berry's seminal work [Proc.~R.~Soc.~Lond.~A \textbf{392}, 45 (1984)], in which a quantal phase factor known as geometric phase was discovered to…