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Coulomb and exchange interaction effects on the exact two-electron dynamics in the Hong-Ou-Mandel interferometer based on Hall edge states

2019/03/31 by Laura Bellentani, Paolo Bordone, Xavier Oriols +1
Computer Science · Physics and Astronomy · #Coulomb #Electron #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Hall effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum mechanics #Quantum point contact #Quantum well #Wave packet #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physrevb.99.245415

published as Phys. Rev. B 99, 245415 (2019) · 9 pages, 6 figures, two-column format; added Ref.s 27-34, 45-48, minor additions in the text, few typos corrected, Fig. 1 replaced

openalex publication_date 2019/06/18 · openalex created_date 2019/06/27 · arxiv created 2019/07/08 · arxiv updated 2019/07/10 · openalex updated_date 2026/08/05

Abstract

The electronic Hong-Ou-Mandel interferometer in the integer quantum Hall regime is an ideal system to probe the building up of quantum correlations between charge carriers and it has been proposed as a viable platform for quantum computing gates. Using a parallel implementation of the split-step Fourier method, we simulated the antibunching of two interacting fermionic wave packets impinging on a quantum point contact. Numerical results of the exact approach are compared with a simplified theoretical model based on one-dimensional scattering formalism. We show that, for strongly localized wave packets in a full-scale geometry, the Coulomb repulsion dominates over the exchange energy, this effect being strongly dependent on the energy broadening of the particles. We define analytically the spatial entanglement between the two regions of the quantum point contact, and obtain quantitatively its entanglement-generation capabilities.

Citations