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 a realistic 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.
Highlights
In the electronic counterpart of the Hong-Ou-Mandel (HOM) experiment two indistinguishable electrons impinge on the opposite sides of an half-reflecting quantum point contact (QPC), acting as the beam splitter
By considering the typical parameters of GaAs (m∗ = 0.067me) for the hosting material, we tune the spatial broadening of the two indistinguishable electron wave packets (σ = 10, 12.5, 15, 17.5, and 20 nm), and we observe the interplay between the HOM geometry and two-electron correlations in different scenarios, where the exchange and/or Coulomb interaction are included
The dynamical properties of the system are completely determined from the 4D wave function (x1, y1, x2, y2, t ), which is iteratively computed at each time step
Summary
In the electronic counterpart of the Hong-Ou-Mandel (HOM) experiment two indistinguishable electrons impinge on the opposite sides of an half-reflecting quantum point contact (QPC), acting as the beam splitter. Regarding the electronic HOM effect, recent experiments highlight the presence of charge fractionalization [29,33,34] in the propagation of single excitations in edge channels, so that the coherence of the traveling qubit is not preserved [35,36]. This effect originates at bulk filling factor 2 due to interchannel interactions that destroy the coherence of the injected Landau quasiparticles [37,38,39]. I.e., only φn=1,k (x) is numerically computed from Eq (1) by means of LAPACK routines
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