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

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

2007-11-27

arxiv.org/abs/0711.4308v2

Phys. Rev. Lett. 100, 226805 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevLett.100.226805

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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