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Full counting statistics of chaotic cavities from classical action correlations

G. Berkolaiko·J. M. Harrison·M. Novaes
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Abstract

We present a trajectory-based semiclassical calculation of the full counting statistics of quantum transport through chaotic cavities, in the regime of many open channels. Our method to obtain the $m$th moment of the density of transmission eigenvalues requires two correlated sets of $m$ classical trajectories, therefore generalizing previous works on conductance and shot noise. The semiclassical results agree, for all values of $m$, with the corresponding predictions from random matrix theory.

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G. Berkolaiko, J. M. Harrison, M. Novaes. 2008-05-30. Full counting statistics of chaotic cavities from classical action correlations. https://doi.org/10.1088/1751-8113%2F41%2F36%2F365102

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