Coulomb and exchange interaction effects on the exact two-electron dynamics in the Hong-Ou-Mandel interferometer based on Hall edge states
arXiv:1903.02581 · doi:10.1103/PhysRevB.99.245415
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.
arXiv comment9 pages, 6 figures, two-column format; added Ref.s 27-34, 45-48, minor additions in the text, few typos corrected, Fig. 1 replaced
References in corpus (34)
- Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
- An Electronic Mach-Zehnder Interferometer
- An On-Demand Coherent Single Electron Source
- Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
- Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup
- Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
- Coherent States of Alternating Current,
- Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
- Hong-Ou-Mandel experiment for temporal investigation of single electron fractionalization
- Single electron quantum tomography in quantum Hall edge channels
- Entanglement, Dephasing, and Phase Recovery via Cross-Correlation Measurements of Electrons
- Real time decoherence of Landau and Levitov quasi-particles in quantum Hall edge channels
- Interactions and charge fractionalization in an electronic Hong-Ou-Mandel interferometer
- Time-of-Flight Measurements of Single-Electron Wave Packets in Quantum-Hall Edge States
- Minimal excitations in the fractional quantum Hall regime
- Electron quantum optics as quantum signal processing
- Decoherence and relaxation of a single electron in a one dimensional conductor
- Quantum coherence engineering in the integer quantum Hall regime
- A Josephson frequency for fractionally charged anyons
- An Electronic Quantum Eraser
- Crystallization of Levitons in the fractional quantum Hall regime
- Ultrafast Emission and Detection of a Single-Electron Gaussian Wave Packet: A Theoretical Study
- Hong-Ou-Mandel characterization of multiply charged Levitons
- Taming electronic decoherence in 1D chiral ballistic quantum conductors
- Two-particle interferometry in quantum Hall edge channels
- Time-dependent exchange and tunneling: detection at the same place of two electrons emitted simultaneously from different sources
- Counting Statistics and Dephasing Transition in an Electronic Mach-Zehnder Interferometer
- Interference and multi-particle effects in a Mach-Zehnder interferometer with single-particle sources
- Energy relaxation in hot electron quantum optics via acoustic and optical phonon emission
- Wave packet approach to transport in mesoscopic systems
- Nanoscale Mach-Zehnder interferometer with spin-resolved quantum Hall edge states
- Time-dependent simulation and analytical modelling of electronic Mach-Zehnder interferometry with edge-states wave packets
- Edge channel mixing induced by potential steps in an integer quantum Hall system
- Dynamics and Hall-edge-state mixing of localized electrons in a two-channel Mach-Zehnder interferometer
Cited by in corpus (10)
- Two electrons interacting at a mesoscopic beam splitter
- Does delta- noise probe quantum statistics?
- Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
- Partition of Two Interacting Electrons by a Potential Barrier
- Gauge-Invariant Semi-Discrete Wigner Theory
- Two-electron selective coupling in an edge-state based conditional phase shifter
- Collision of two interacting electrons on a mesoscopic beamsplitter: exact solution in the classical limit
- Resonant tunneling diodes in semiconductor microcavities: modeling polaritonic features in the THz displacement current
- Coulomb collisions of hot and cold single electrons in series-coupled silicon single-electron pumps
- Hong-Ou-Mandel interference on a lattice: symmetries and interactions