Monitored quantum transport: full counting statistics of a quantum Hall interferometer
arXiv:2504.07773 · doi:10.22331/q-2025-10-02-1874
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.
11 pages, 2 figures
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