Shot noise of photon-excited electron-hole pairs in open quantum dots

We investigate shot noise of photon-excited electron-hole pairs in open multiterminal, multichannel chaotic dots. Coulomb interactions in the dot are treated self-consistently giving a gauge-invariant expression for the finite frequency correlations. The Coulomb interactions decrease the noise; the strong interaction limit coincides with the noninteracting adiabatic limit. Inelastic scattering and dephasing in the dot are described by voltage and dephasing probe models, respectively. We find that dephasing leaves the noise invariant, but inelastic scattering decreases correlations eventually down to zero.

Figure 1

A four terminal $(M=4)$ chaotic dot is subject to oscillating potentials $V_{\alpha }\left(t\right)$ at contacts $\alpha =1,2$ and coupled to a gate with a time-dependent potential $V_0\left(t\right)$ via a capacitance $C$. The internal potential of the dot is $U\left(t\right)$. Inelastic scattering and/or dephasing with a rate ${\gamma }_{\phi }$ is introduced by connecting a probe $\phi$ to the dot. An electron-hole pair excited in lead 1 and split into leads 3 and 4 is indicated.