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Help me check a fact about Berry phase

  1. May 22, 2015 #1
    I have vague memories of having read somewhere that if you have a parameter manifold that

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


    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?
  2. jcsd
  3. May 27, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
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