N-Particle Scattering Matrix for Electrons Interacting on a Quantum Dot

2007/11/30 by A. V. Lebedev, G. B. Lesovik, G. Blatter · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum optics and atomic interactions #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.100.226805

published as Phys. Rev. Lett. 100, 226805 (2008) · 4 pages

openalex publication_date 2008/06/06 · arxiv created 2008/06/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present a nonperturbative 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.

Citations

• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Zur Quantenmechanik der Sto�vorg�nge
• Effects of Exchange Symmetry on Full Counting Statistics
• Shot noise in mesoscopic conductors
• Minimal Excitation States of Electrons in One-Dimensional Wires
• Electrical resistance of disordered one-dimensional lattices
• Die ?beobachtbaren Gr��en? in der Theorie der Elementarteilchen

Cited by

• Factorization of quantum charge transport for noninteracting fermions