Minimal excitations in the fractional quantum Hall regime

Abstract

We study the minimal excitations of fractional quantum Hall edges, extending the notion of levitons to interacting systems. Using both perturbative and exact calculations, we show that they arise in response to a Lorentzian potential with quantized flux. They carry an integer charge, thus involving several Laughlin quasiparticles, and leave a Poissonian signature in a Hanbury-Brown and Twiss partition noise measurement at low transparency. This makes them readily accessible experimentally, ultimately offering the opportunity to study real-time transport of Abelian and non-Abelian excitations.

10 pages, 5 figures

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• Photo--assisted current and shot noise in the fractional quantum Hall effect
• Adiabatic charge and spin transport in interacting quantum wires
• Single quasiparticle and electron nano-emitter in the fractional quantum Hall regime
• Multiple quasiparticle Hall spectroscopy investigated with a resonant detector
• Time-resolved pure spin fractionalization and spin-charge separation in helical Luttinger liquid based devices
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Cited by in corpus (56)

• Fractional statistics in anyon collisions
• Coherent control of single electrons: a review of current progress
• Fractional charge and fractional statistics in the quantum Hall effects
• Electron quantum optics as quantum signal processing
• A Josephson frequency for fractionally charged anyons
• Crystallization of Levitons in the fractional quantum Hall regime
• Minimal excitation states for heat transport in driven quantum Hall systems
• Hong-Ou-Mandel characterization of multiply charged Levitons
• Optimal work-to-work conversion of a nonlinear quantum brownian duet
• Shaping charge excitations in chiral edge states with a time-dependent gate voltage
• Pseudorandom binary injection of levitons for electron quantum optics
• Collisional interferometry of Levitons in quantum Hall edge channels at $\nu =2$
• Levitons in superconducting point contacts
• Electronic quantum optics beyond the integer quantum Hall effect
• Hong-Ou-Mandel heat noise in the quantum Hall regime
• Coulomb and exchange interaction effects on the exact two-electron dynamics in the Hong-Ou-Mandel interferometer based on Hall edge states
• Charge and energy fractionalization mechanism in one-dimensional channels
• The Interacting Mesoscopic Capacitor Out of Equilibrium
• Unified time-dependent perturbative relations applied to spectroscopy through photo-drag current
• Two-particle time-domain interferometry in the Fractional Quantum Hall Effect regime
• Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
• Enhancing photon squeezing one Leviton at a time
• Single-particle shot noise at non-zero temperature
• Time-Domain Spectroscopy of Mesoscopic Conductors Using Voltage Pulses
• Composite two-particle sources
• Probing interactions via non-equilibrium momentum distribution and noise in integer quantum Hall systems at $\nu =2$
• Multi-particle interference in an electronic Mach-Zehnder interferometer
• High-temperature fusion of a multi-electron leviton
• Microscopic theory of photo-assisted electronic transport in normal-metal/BCS-superconductor junctions
• Influence of channel mixing in fermionic Hong-Ou-Mandel experiments
• Current correlations of Cooper-pair tunneling into a quantum Hall system
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Spectral properties of interacting helical channels driven by Lorentzian pulses
• Photoassisted shot noise spectroscopy at fractional filling factor
• Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
• Current cross-correlations in a quantum Hall collider at filling factor two
• Photoexcitation in two-dimensional topological insulators: Generating and controlling electron wavepackets in Quantum Spin Hall systems
• Modeling free anyons at the bosonic and fermionic ends
• Coherent Transport of Levitons Through the Kondo Resonance
• AC driven strongly correlated quantum circuits and Hall edge states: Unified photo-assisted noise and revisited minimal excitations
• Electronic wave-packets in integer quantum Hall edge channels: relaxation and dissipative effects
• Minimal alternating current injection into carbon nanotubes
• Current and shot noise in a normal metal-superconductor junction driven by spin-dependent periodic pulse sequence
• Quasiparticles states for integer- and fractional-charged electron wave packets
• Finite frequency noise in chiral Luttinger liquid coupled to phonons
• Levitons in correlated nano-scale systems
• Quantum transport phenomena induced by time-dependent fields
• Suppression of the radiation squeezing in interacting quantum Hall edge channels
• Correlated two-Leviton states in the fractional quantum Hall regime
• Design of a Single-Shot Electron detector with sub-electron sensitivity for electron flying qubit operation
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Hybrid interacting quantum Hall thermal machine
• Auto- versus cross-correlation noise
• Photo-assisted current in the fractional quantum Hall effect as a probe of the quasiparticle operator scaling dimension
• Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges
• Periodic source of energy-entangled electrons in helical states coupled to a BCS superconductor