All Questions
4
questions
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What is natural about the Berry connection?
So I asked a similar question here and even though I still believe it's a valid question, the formulation may have been a bit too complicated to pique people's interest, so let me try to break it up ...
- 2,123
1
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0
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Concise formulation of Berry phase as holonomy of "natural" connection
I've been trying to understand the Berry phase (abelian/non-abelian) as the holonomy of some "natural connection". I almost have all the pieces together, but there are a few parts that are a ...
- 2,123
1
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0
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65
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How does the fiber bundle perspective on geometric phase lead to a certain connection one-form?
I'm trying to understand why the relevant connection one-form when calculating geometric phase in quantum systems is
$$\mathcal{A}_\psi(X):=i \text{Im}\langle \psi | X\rangle.$$
Set-up: I'll set the ...
- 123
1
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1
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467
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Is it possible understand Berry curvature as Gaussian curvature in some limit?
I would like to understand the Berry curvature and the Chern number from mathematical geometry-topology.
I understand that in electronic QHE, there is a map from $k^2$ to a vector space where the ...
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