Optimization of Quantum Graph Eigenvalues with Preferred Orientation Vertex Conditions
Abstract We discuss Laplacian spectrum on a finite metric graph with vertex couplings violating the time-reversal invariance. For the class of star graphs, we determine, under the condition of a fixed total edge length, the configurations for which the ground state eigenvalue is maximized. Furthermore, for general finite metric graphs, we provide upper bounds for all eigenvalues.
Authors
- Jonathan Rohleder (ORCID: https://orcid.org/0000-0003-1354-5387)
- Pavel Exner (ORCID: https://orcid.org/0000-0003-3704-7841)
Institutions
- Stockholm University (SE)
- Czech Academy of Sciences, Institute of Theoretical and Applied Mechanics (CZ)
- Czech Academy of Sciences, Nuclear Physics Institute (CZ)
- Czech Technical University in Prague (CZ)
Publication Details
- Journal
- Annales Henri Poincaré
- Published
- 2025-04-23
- DOI
- https://doi.org/10.1007/s00023-025-01574-y
- Primary Topic
- Quantum Computing Algorithms and Architecture
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- European Commission
- Vetenskapsrådet
- Stockholms Universitet
- Horizon 2020 Framework Programme