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

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

doi:10.1103/physrevlett.100.226805

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arXiv · 0711.4308

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

A. V. Lebedev·G. B. Lesovik·G. Blatter

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Abstract

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.

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A. V. Lebedev, G. B. Lesovik, G. Blatter. 2008-06-10. N-particle scattering matrix for electrons interacting on a quantum dot. https://doi.org/10.1103/physrevlett.100.226805

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