Coherent current correlations in a double-dot Cooper pair splitter

Exact analytical formulas are derived, by means of Keldysh Green functions, for currents and current correlation functions in a Cooper pair splitter modeled on double quantum dot system coherently coupled to superconductor two normal metallic electrodes. Confining the subspace with interdot singlet we show perfect entanglement split electrons separated crossed Andreev reflection processes. The studies focused noise power spectrum whole bias voltage range. In particular, large limit shot dominates its exhibits extraordinary side dips related resonant interlevel correlations caused coherent electron-hole recombination processes accompanied emission absorption photons. linear response derived frequency-dependent admittance which shows different interference patterns cross auto correlations.