Quantum Divergence and Topological Edge Diagnostics via Levitov Full Counting Statistics

Maolin Bo; Xiang Chen; Siyu Liu; Han Lu; Yunhu Zhu; Zhongkai Huang; Chuang Yao

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arXiv · 2608.12726

Quantum Divergence and Topological Edge Diagnostics via Levitov Full Counting Statistics

Maolin Bo·Xiang Chen·Siyu Liu·Han Lu·Yunhu Zhu·Zhongkai Huang·Chuang Yao

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Abstract

We propose a differential full counting statistics protocol for mesoscopic transport. Additionally, we compare terminal Fano factors and noise cumulants between gate configurations at matched k1, instead of inferring a bulk divergence sensor from a single absolute F. it is illustrated analytically for a two channel factorization via a zero temperature geometry scan. Secondary benchmarks show that a two dimensional lattice non equilibrium Greens function calculation yields sub Poissonian Fano factors, whereas Kumars low temperature quantum point contact calibration validates the numerical implementation.

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Maolin Bo, Xiang Chen, Siyu Liu, Han Lu, Yunhu Zhu, Zhongkai Huang, Chuang Yao. 2026-08-13. Quantum Divergence and Topological Edge Diagnostics via Levitov Full Counting Statistics. https://arxiv.org/abs/2608.12726

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