Research Paper#Quantum Physics, Non-Hermitian Physics, Scattering Theory🔬 ResearchAnalyzed: Jan 3, 2026 09:23
Geometric Phase of Exceptional Point as Quantum Resonance
Published:Dec 31, 2025 00:23
•1 min read
•ArXiv
Analysis
This paper investigates the geometric phase associated with encircling an exceptional point (EP) in a scattering model, bridging non-Hermitian spectral theory and quantum resonances. It uses the complex scaling method to analyze the behavior of eigenstates near an EP, providing insights into the self-orthogonality and Berry phase in this context. The work is significant because it connects abstract mathematical concepts (EPs) to physical phenomena (quantum resonances) in a concrete scattering model.
Key Takeaways
- •Applies complex scaling method to study exceptional points in a scattering model.
- •Connects non-Hermitian spectral theory with the theory of quantum resonances.
- •Analyzes self-orthogonality and Berry phase near an exceptional point.
Reference
“The paper analyzes the self-orthogonality in the vicinity of an EP and the Berry phase.”