Single electron quantum tomography in quantum Hall edge channels

Abstract

We propose a quantum tomography protocol to measure single electron coherence in quantum Hall edge channels and therefore access for the first time the wave function of single electron excitations propagating in ballistic quantum conductors. Its implementation would open the way to quantitative studies of single electron decoherence and would provide a quantitative tool for analyzing single to few electron sources. We show how this protocol could be implemented using ultrahigh sensitivity noise measurement schemes.

Version 3: long version (7 figures): corrections performed and references have been added. Figures reprocessed for better readability

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Cited by in corpus (90)

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• Two-photon interference: the Hong-Ou-Mandel effect
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• Hong-Ou-Mandel experiment for temporal investigation of single electron fractionalization
• Integer and fractional charge Lorentzian voltage pulses analyzed in the frame of Photon-assisted Shot Noise
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• 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
• Wigner function approach to single electron coherence in quantum Hall edge channels
• Fractionalization of minimal excitations in integer quantum Hall edge channels
• Levitons for electron quantum optics
• Electron quantum optics as quantum signal processing
• Electron and hole Hong-Ou-Mandel interferometry
• Decoherence and relaxation of a single electron in a one dimensional conductor
• Quantum tomography of electrical currents
• Glauber coherence of single electron sources
• Quantum heat fluctuations of single particle sources
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• Single-electron source: Adiabatic versus non-adiabatic emission
• Minimal excitation states for heat transport in driven quantum Hall systems
• Ultrafast Emission and Detection of a Single-Electron Gaussian Wave Packet: A Theoretical Study
• First-order correlation function of the stream of single-electron wave-packets
• Single quasiparticle and electron nano-emitter in the fractional quantum Hall regime
• Electronic Hong-Ou-Mandel interferometry in two-dimensional topological insulators
• Relaxation and revival of quasiparticles injected in an interacting quantum Hall liquid
• Taming electronic decoherence in 1D chiral ballistic quantum conductors
• Photoexcitation of electron wave packets in quantum spin Hall edge states: effects of chiral anomaly from a localised electric pulse
• Two-particle interferometry in quantum Hall edge channels
• Electron and electron-hole quasiparticle states in a driven quantum contact
• Pseudorandom binary injection of levitons for electron quantum optics
• Two-electron state from the Floquet scattering matrix perspective
• Spectral distribution and wavefunction of electrons emitted from a single particle source in the quantum Hall regime
• Single-electron coherence: finite temperature versus pure dephasing
• Collisional interferometry of Levitons in quantum Hall edge channels at $\nu =2$
• Heat and charge transport measurements to access single-electron quantum characteristics
• Non-local interference and Hong-Ou-Mandel collisions of single Bogoliubov quasiparticles
• Real-time simulation of finite frequency noise from a single electron emitter
• Fluctuation dissipation relations for strongly correlated out-of-equilibrium circuits
• Coulomb and exchange interaction effects on the exact two-electron dynamics in the Hong-Ou-Mandel interferometer based on Hall edge states
• Hong-Ou-Mandel heat noise in the quantum Hall regime
• Minimal-excitation single-particle emitters: A comparison of charge and energy transport properties
• Control of electron-hole pair generation by biharmonic voltage drive of a quantum point contact
• Zero-frequency noise in adiabatically driven, interacting quantum systems
• Electronic quantum optics beyond the integer quantum Hall effect
• Charge and energy fractionalization mechanism in one-dimensional channels
• Processing quantum signals carried by electrical currents
• Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
• Noise of a single-electron emitter
• Probing charge and heat current noise by frequency-dependent temperature and potential fluctuations
• Classical-to-quantum crossover in electron on-demand emission
• Two-electron coherence and its measurement in electron quantum optics
• Single-particle shot noise at non-zero temperature
• Admittance of the SU(2) and SU(4) Anderson quantum RC circuits
• Time-Domain Spectroscopy of Mesoscopic Conductors Using Voltage Pulses
• Interaction effects in a multi-channel Fabry-Pérot interferometer in the Aharonov-Bohm regime
• Composite two-particle sources
• Time-energy filtering of single electrons in ballistic waveguides
• Transient and Sharvin resistances of Luttinger liquids
• Interplay between Rashba interaction and electromagnetic field in the edge states of a 2D topological insulator
• Time-resolved sensing of electromagnetic fields with single-electron interferometry
• Multi-particle interference in an electronic Mach-Zehnder interferometer
• High-temperature fusion of a multi-electron leviton
• Single-particle emission at finite temperatures
• Spectral properties of interacting helical channels driven by Lorentzian pulses
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Dephasing in single-electron generation due to environmental noise probed by Hong Ou Mandel interferometry
• Photoexcitation in two-dimensional topological insulators: Generating and controlling electron wavepackets in Quantum Spin Hall systems
• Single-electron $G^{(2)}$ function at nonzero temperatures
• Long-range Fermi sea correlations as the resource for encoding quantum information
• Interaction effects and charge quantization in single-particle quantum dot emitters
• AC driven strongly correlated quantum circuits and Hall edge states: Unified photo-assisted noise and revisited minimal excitations
• Observation of edge magnetoplasmon squeezing in a quantum Hall conductor
• Electron interferometry in integer quantum Hall edge channels
• Quasiparticles states for integer- and fractional-charged electron wave packets
• Semiconductor-based electron flying qubits: Review on recent progress accelerated by numerical modelling
• Levitons in correlated nano-scale systems
• Characterization and control of charge transfer in a tunnel junction
• Quantum transport phenomena induced by time-dependent fields
• On-demand electron source with tunable energy distribution
• Signature of anyonic statistics in the integer quantum Hall regime
• Auto- versus cross-correlation noise
• Characterizing and Mitigating Timing Noise-Induced Decoherence in Single Electron Sources
• Floquet-Nambu theory of electron quantum optics with superconductors
• Single-electron emission from degenerate quantum levels
• Instantaneous Emission Rate of Electron Transport through a quantum point contact
• Periodic source of energy-entangled electrons in helical states coupled to a BCS superconductor
• Method for rapid estimation of the energy-time covariance matrix of single electrons
• Noise and Counting Statistics of a Single Electron Emitter: Theory