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arXiv · 2605.10798

Berry's phase under topology change

Pavel Kurasov·Vladislav Shubin·Axel Tibbling
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Abstract

Laplacians on metric graphs are used to construct continuous families of Hamiltonians with different topological structure. One such family is used to demonstrate that Hamiltonians with real-valued eigenfunctions may possess non-trivial geometric Berry's phase. Connections between non-trivial Berry's phase and topology change are discussed.

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Pavel Kurasov, Vladislav Shubin, Axel Tibbling. 2026-05-11. Berry's phase under topology change. https://arxiv.org/abs/2605.10798

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