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Decoherence and Full Counting Statistics in a Mach-Zehnder Interferometer

Heidi Forster·Sebastian Pilgram·Markus Buttiker
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Abstract

We investigate the Full Counting Statistics of an electrical Mach-Zehnder interferometer penetrated by an Aharonov-Bohm flux, and in the presence of a classical fluctuating potential. Of interest is the suppression of the Aharonov-Bohm oscillations in the distribution function of the transmitted charge. For a Gaussian fluctuating field we calculate the first three cumulants. The fluctuating potential causes a modulation of the conductance leading in the third cumulant to a term cubic in voltage and to a contribution correlating modulation of current and noise. In the high voltage regime we present an approximation of the generating function.

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Heidi Forster, Sebastian Pilgram, Markus Buttiker. 2005-02-16. Decoherence and Full Counting Statistics in a Mach-Zehnder Interferometer. https://doi.org/10.1103/physrevb.72.075301

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