Spectroscopic Search for Topological Protection in Open Quantum Systems
Research Paper#Quantum Physics, Spectroscopy, Topological Protection🔬 Research|Analyzed: Jan 4, 2026 00:19•
Published: Dec 25, 2025 13:06
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This paper introduces a novel geometric framework, Dissipative Mixed Hodge Modules (DMHM), to analyze the dynamics of open quantum systems, particularly at Exceptional Points where standard models fail. The authors develop a new spectroscopic protocol, Weight Filtered Spectroscopy (WFS), to spatially separate decay channels and quantify dissipative leakage. The key contribution is demonstrating that topological protection persists as an algebraic invariant even when the spectral gap is closed, offering a new perspective on the robustness of quantum systems.
Key Takeaways
- •Introduces Dissipative Mixed Hodge Modules (DMHM) as a new geometric framework for analyzing open quantum systems.
- •Develops Weight Filtered Spectroscopy (WFS) to spatially separate decay channels.
- •Demonstrates that topological protection persists even when the spectral gap is closed.
- •Applies WFS to quantify dissipative leakage in molecular polaritons and certify topological isolation in Non-Hermitian Aharonov-Bohm rings.
Reference / Citation
View Original"WFS acts as a dissipative x-ray, quantifying dissipative leakage in molecular polaritons and certifying topological isolation in Non-Hermitian Aharonov-Bohm rings."