N-particle scattering matrix for electrons interacting on a quantum dot

Lebedev, A. V.; Lesovik, G. B.; Blatter, G.

N-particle scattering matrix for electrons interacting on a quantum dot

Authors

Lebedev, A. V.

Lesovik, G. B.

Blatter, G.

Description

We present a non-perturbative expression for the scattering matrix of $N$ particles interacting inside a quantum dot. Characterizing the dot by its resonances, we find a compact form for the scattering matrix in a real-time representation. We study the transmission probabilities and interaction-induced orbital entanglement of two electrons incident on the dot in a spin-singlet state.
4 pages