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.

Coulomb and exchange interaction effects on the exact two-electron dynamics in the Hong-Ou-Mandel interferometer based on Hall edge states / Bellentani, Laura; Bordone, Paolo; Oriols, Xavier; Bertoni, Andrea. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 99:(2019), pp. 245415-1-245415-10. [10.1103/PhysRevB.99.245415]

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

Laura Bellentani
;
Paolo Bordone;Andrea Bertoni
2019

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.
18-giu-2019
99
245415-1
245415-10
Coulomb and exchange interaction effects on the exact two-electron dynamics in the Hong-Ou-Mandel interferometer based on Hall edge states / Bellentani, Laura; Bordone, Paolo; Oriols, Xavier; Bertoni, Andrea. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 99:(2019), pp. 245415-1-245415-10. [10.1103/PhysRevB.99.245415]
Bellentani, Laura; Bordone, Paolo; Oriols, Xavier; Bertoni, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/1179501
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