Monitored quantum transport: full counting statistics of a quantum Hall interferometer
Mesoscale and Nanoscale Physics
2025-10-03 v2
Abstract
We generalize the Levitov-Lesovik formula for the probability distribution function of the electron charge transferred through a phase coherent conductor, to include projective measurements that monitor the chiral propagation in quantum Hall edge modes. When applied to an electronic Mach-Zehnder interferometer, the monitoring reduces the visibility of the Aharonov-Bohm conductance oscillations while preserving the binomial form of the counting statistics, thereby removing a fundamental shortcoming of the dephasing-probe model of decoherence.
Keywords
Cite
@article{arxiv.2504.07773,
title = {Monitored quantum transport: full counting statistics of a quantum Hall interferometer},
author = {C. W. J. Beenakker and Jin-Fu Chen},
journal= {arXiv preprint arXiv:2504.07773},
year = {2025}
}
Comments
11 pages, 2 figures