- #1

andresB

- 626

- 374

a) Have a non-trivial Berry phase (meaning the line integral of the berry connection is non zero for some curve)

and

b) the Berry curvature is non-singular anywhere in that manifold

then you can always extend naturally that manifold to bigger one (so the original manifold becomes a submanifold of the new one) where the Berry curvature have singularities and that singularities act as the "source" of the Holonomy.

It is that a fact or I'm misremembering something?