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

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.

4 pages

References in corpus (5)

• An On-Demand Coherent Single Electron Source
• Full counting statistics for the Kondo dot
• Full Counting Statistics for a Single-Electron Transistor, Non-equilibrium Effects at Intermediate Conductance
• Effects of Exchange Symmetry on Full Counting Statistics
• Transfer of entanglement from electrons to photons by optical selection rules

Cited by in corpus (2)

• Factorization of quantum charge transport for non-interacting fermions
• Scattering of electrons from an interacting region