Research Paper#Quantum Physics, Integrable Systems, Tensor Networks🔬 ResearchAnalyzed: Jan 3, 2026 15:48
Tensor-Network Analysis of Root Patterns in the XXX Model
Published:Dec 30, 2025 12:35
•1 min read
•ArXiv
Analysis
This paper investigates the complex root patterns in the XXX model (Heisenberg spin chain) with open boundaries, a problem where symmetry breaking complicates analysis. It uses tensor-network algorithms to analyze the Bethe roots and zero roots, revealing structured patterns even without U(1) symmetry. This provides insights into the underlying physics of symmetry breaking in integrable systems and offers a new approach to understanding these complex root structures.
Key Takeaways
- •Applies tensor-network algorithms to analyze root patterns in the XXX model with open boundaries.
- •Reveals structured patterns of Bethe and zero roots even in the absence of U(1) symmetry.
- •Classifies Bethe roots into four distinct types: regular roots, line roots, arc roots, and paired-line roots.
- •Provides insights into the physics of symmetry breaking in integrable systems.
Reference
“The paper finds that even in the absence of U(1) symmetry, the Bethe and zero roots still exhibit a highly structured pattern.”