Berry's phase under topology change
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...
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
Please sign in to join the discussion.
No comments yet. Be the first to share your thoughts!
May 12, 2026
Quantum Computing
Quantum Physics
0