Matrix Thermodynamic Uncertainty Relation for Non-Abelian Charge Transport
Research Paper#Quantum Physics, Thermodynamics, Quantum Transport🔬 Research|Analyzed: Jan 3, 2026 17:05•
Published: Dec 31, 2025 16:38
•1 min read
•ArXivAnalysis
This paper addresses a fundamental challenge in quantum transport: how to formulate thermodynamic uncertainty relations (TURs) for non-Abelian charges, where different charge components cannot be simultaneously measured. The authors derive a novel matrix TUR, providing a lower bound on the precision of currents based on entropy production. This is significant because it extends the applicability of TURs to more complex quantum systems.
Key Takeaways
- •Derives a matrix thermodynamic uncertainty relation (TUR) for non-Abelian charge transport.
- •Provides a lower bound on current precision based on entropy production.
- •The bound is fully nonlinear and saturable.
- •Valid for arbitrary current vectors.
- •Demonstrates near-saturation in numerical simulations.
Reference / Citation
View Original"The paper proves a fully nonlinear, saturable lower bound valid for arbitrary current vectors Δq: D_bath ≥ B(Δq,V,V'), where the bound depends only on the transported-charge signal Δq and the pre/post collision covariance matrices V and V'."