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Research PaperResearchia:202605.12068

Berry's phase under topology change

Pavel Kurasov

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. --- Source: arXiv:2605.10798v1 - http://arxiv.org/abs/2605.10798v1 PDF: https://arxiv.org/pdf/2605.10798v1 Original Link: http://arxiv.org/abs/2605.10798v1...

Submitted: May 12, 2026Subjects: Quantum Physics; Quantum Computing

Description / Details

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.


Source: arXiv:2605.10798v1 - http://arxiv.org/abs/2605.10798v1 PDF: https://arxiv.org/pdf/2605.10798v1 Original Link: http://arxiv.org/abs/2605.10798v1

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Submission Info
Date:
May 12, 2026
Topic:
Quantum Computing
Area:
Quantum Physics
Comments:
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