Floquet scattering theory for current and heat noise in large amplitude adiabatic pumps

We discuss the statistical correlation properties of currents and energy flows generated by an adiabatic quantum pump. Our approach emphasizes the important role of quantized energy exchange between the sea of electrons and the oscillating scatterer. The frequency ω of oscillations introduces a natural energy scale ω. In the low-temperature limit kBT⪡ω the pump generates a shotlike noise which manifests itself in photon-assisted quantum-mechanical exchange amplitudes. In the high-temperature limit kBT⪢ω the pump produces a thermal-like noise due to ac currents generated by the pump. We predict that with increasing temperature the frequency dependence of the noise changes. The current noise is linear in ω at low temperatures, is quadratic at intermediate temperatures, and is linear again at high temperatures. Similarly, in the same temperature regions, the heat flow noise is proportional to ω³, ω², and ω.