Multi-particle interference in an electronic Mach-Zehnder interferometer
arXiv:2104.13136 · doi:10.3390/e23060736
Abstract
The recent development of dynamic single-electron sources makes it possible to observe and manipulate the quantum properties of individual charge carriers in mesoscopic circuits. Here, we investigate multi-particle effects in an electronic Mach-Zehnder interferometer driven by dynamic voltage pulses. To this end, we employ a Floquet scattering formalism to evaluate the interference current and the visibility in the outputs of the interferometer. An injected multi-particle state can be described by its first-order correlation function, which we decompose into a sum of elementary correlation functions that each represent a single particle. Each particle in the pulse contributes independently to the interference current, while the visibility (determined by the maximal interference current) exhibits a Fraunhofer-like diffraction pattern caused by the multi-particle interference between different particles in the pulse. For a sequence of multi-particle pulses, the visibility resembles the diffraction pattern from a grid, with the role of the grid and the spacing between the slits being played by the pulses and the time delay between them. Our findings may be observed in future experiments by injecting multi-particle pulses into an electronic Mach-Zehnder interferometer.
arXiv comment21 pages, 5 figures, contribution to special issue in Entropy on electron quantum optics
References in corpus (97)
- Free-Space distribution of entanglement and single photons over 144 km
- Electron Counting Statistics and Coherent States of Electric Current
- An Electronic Mach-Zehnder Interferometer
- An On-Demand Coherent Single Electron Source
- Floquet scattering theory of quantum pumps
- Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
- Violation of Kirchhoff's Laws for a Coherent RC Circuit
- Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup
- Coherent control of single electrons: a review of current progress
- Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
- Minimal excitation states of electrons in one-dimensional wires
- Electron quantum optics in ballistic chiral conductors
- Coherent States of Alternating Current,
- Electron quantum optics : partitioning electrons one by one
- Distinct Signatures For Coulomb Blockade and Aharonov-Bohm Interference in Electronic Fabry-Perot Interferometers
- Clock-controlled emission of single-electron wavepackets in a solid-state circuit
- 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
- Single electron quantum tomography in quantum Hall edge channels
- Entanglement, Dephasing, and Phase Recovery via Cross-Correlation Measurements of Electrons
- Quantized dynamics of a coherent capacitor
- Partitioning of on-demand electron pairs
- Electron quantum optics in quantum Hall edge channels
- Real time decoherence of Landau and Levitov quasi-particles in quantum Hall edge channels
- Edge Channel Interference Controlled by Landau Level Filling
- Multi-mode Fabry-Pérot conductance oscillations in suspended stacking-faults-free InAs nanowires
- Two-particle non-local Aharonov-Bohm effect from two single-particle emitters
- Counting statistics for electron capture in a dynamic quantum dot
- Time-of-Flight Measurements of Single-Electron Wave Packets in Quantum-Hall Edge States
- Minimal excitations in the fractional quantum Hall regime
- Visibility of current and shot noise in electrical Mach-Zehnder and Hanbury Brown Twiss interferometers
- Fractionalization of minimal excitations in integer quantum Hall edge channels
- Shot noise in carbon nanotube based Fabry-Perot interferometers
- Levitons for electron quantum optics
- Electron quantum optics as quantum signal processing
- Decoherence and relaxation of a single electron in a one dimensional conductor
- Quantum tomography of electrical currents
- Quantum coherence engineering in the integer quantum Hall regime
- The Hanbury Brown and Twiss Experiment with Fermions
- Dynamical control of interference using voltage pulses in the quantum regime
- Heat production and current noise for single- and double-cavity quantum capacitors
- Glauber coherence of single electron sources
- Quantum heat fluctuations of single particle sources
- Optimal spin-entangled electron-hole pair pump
- Dynamic generation of orbital quasiparticle entanglement in mesoscopic conductors
- Continuous-Variable Tomography of Solitary Electrons
- Optimal quantum interference thermoelectric heat engine with edge states
- Electron counting with a two-particle emitter
- Measurement and control of electron wave packets from a single-electron source
- Distributions of electron waiting times in quantum-coherent conductors
- Quantum Hall valley splitters and tunable Mach-Zehnder interferometer in graphene
- Floquet Theory of Electron Waiting Times in Quantum-Coherent Conductors
- Unveiling the bosonic nature of an ultrashort few-electron pulse
- Single-electron source: Adiabatic versus non-adiabatic emission
- Time-resolved noise of adiabatic quantum pumps
- Crystallization of Levitons in the fractional quantum Hall regime
- Single-electron entanglement and nonlocality
- Electron waiting times in coherent conductors are correlated
- Minimal excitation states for heat transport in driven quantum Hall systems
- Dynamical generation and detection of entanglement in neutral leviton pairs
- Ultrafast Emission and Detection of a Single-Electron Gaussian Wave Packet: A Theoretical Study
- Emission of time-bin entangled particles into helical edge states
- Hong-Ou-Mandel characterization of multiply charged Levitons
- First-order correlation function of the stream of single-electron wave-packets
- Single quasiparticle and electron nano-emitter in the fractional quantum Hall regime
- Spectroscopy of electron flows with single- and two-particle emitters
- Relaxation and revival of quasiparticles injected in an interacting quantum Hall liquid
- Taming electronic decoherence in 1D chiral ballistic quantum conductors
- Generating spin-entangled electron pairs in normal conductors using voltage pulses
- LO-phonon emission rate of hot electrons from an on-demand single-electron source in a GaAs/AlGaAs heterostructure
- Robust quantum coherence above the Fermi sea
- Mach-Zehnder interferometry with periodic voltage pulses
- Shaping charge excitations in chiral edge states with a time-dependent gate voltage
- Two-particle interferometry in quantum Hall edge channels
- Pseudorandom binary injection of levitons for electron quantum optics
- Two-electron state from the Floquet scattering matrix perspective
- Single-electron coherence: finite temperature versus pure dephasing
- Single-particle interference versus two-particle collisions
- Heat and charge transport measurements to access single-electron quantum characteristics
- Collisional interferometry of Levitons in quantum Hall edge channels at
- Levitons in superconducting point contacts
- Electronic quantum optics beyond the integer quantum Hall effect
- On-demand entanglement generation using dynamic single-electron sources
- Hong-Ou-Mandel heat noise in the quantum Hall regime
- Minimal-excitation single-particle emitters: A comparison of charge and energy transport properties
- Controlled emission time statistics of a dynamic single-electron transistor
- Electron waiting times in hybrid junctions with topological superconductors
- Quantum theory of an electron waiting time clock
- Single-particle shot noise at non-zero temperature
- Quantum teleportation of single-electron states
- Time-Domain Spectroscopy of Mesoscopic Conductors Using Voltage Pulses
- Composite two-particle sources
- Single-particle emission at finite temperatures
- Quantum pump driven fermionic Mach-Zehnder interferometer
- Time-dependent Andreev reflection
- Single-electron function at nonzero temperatures
- Electronic wave-packets in integer quantum Hall edge channels: relaxation and dissipative effects
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- Influence of channel mixing in fermionic Hong-Ou-Mandel experiments
- Semiconductor-based electron flying qubits: Review on recent progress accelerated by numerical modelling
- Correlated two-Leviton states in the fractional quantum Hall regime
- Time-dependent transport in Graphene Mach-Zender Interferometers
- On-Demand and Tunable Andreev-Conversion of Single-Electron Charge Pulses
- Wigner representation of Andreev-reflected charge pulses
- Floquet-Nambu theory of electron quantum optics with superconductors
- Negative currents in Fabry-Pérot cavities are caused by interfering paths