Berry's phase under topology change
Spectral Theory
2026-05-12 v1 Mathematical Physics
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2605.10798,
title = {Berry's phase under topology change},
author = {Pavel Kurasov and Vladislav Shubin and Axel Tibbling},
journal= {arXiv preprint arXiv:2605.10798},
year = {2026}
}
Comments
13 pages, 4 figures