Full counting statistics of information content in the presence of Coulomb interaction

The Renyi entropies for an interacting quantum dot are computed under a multi-contour Keldysh formalism. With this in hand, the self-information generating function is determined and the probability distribution of self-information is computed, including the effects of Coulomb interactions in the Hartree approximation. The author argues through these computations that fluctuations in the self-information and the Renyi entropies are tied together intimately and that these fluctuations thus offer a way to give the Renyi entropies physical meaning.