Crystallization of Levitons in the fractional quantum Hall regime

Abstract

Using a periodic train of Lorentzian voltage pulses, which generates soliton-like electronic excitations called Levitons, we investigate the charge density backscattered off a quantum point contact in the fractional quantum Hall regime. We find a regular pattern of peaks and valleys, reminiscent of analogous self-organization recently observed for optical solitons in non-linear environments. This crystallization phenomenon is confirmed by additional side dips in the Hong-Ou-Mandel noise, a feature that can be observed in nowadays electron quantum optics experiments.

9 pages, 4 figures

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Cited by in corpus (30)

• Hong-Ou-Mandel characterization of multiply charged Levitons
• Optimal work-to-work conversion of a nonlinear quantum brownian duet
• Collisional interferometry of Levitons in quantum Hall edge channels at $\nu =2$
• Levitons in superconducting point contacts
• 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
• Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
• Processing quantum signals carried by electrical currents
• Enhancing photon squeezing one Leviton at a time
• Linear and nonlinear edge dynamics of trapped fractional quantum Hall droplets
• Time-Domain Spectroscopy of Mesoscopic Conductors Using Voltage Pulses
• Composite two-particle sources
• Multi-particle interference in an electronic Mach-Zehnder interferometer
• Influence of channel mixing in fermionic Hong-Ou-Mandel experiments
• Delta-T noise for fractional quantum Hall states at different filling factor
• Microscopic theory of photo-assisted electronic transport in normal-metal/BCS-superconductor junctions
• Ultrashort electron wavepackets via frequency-comb synthesis
• Spectral properties of interacting helical channels driven by Lorentzian pulses
• Single-electron $G^{(2)}$ function at nonzero temperatures
• Driven quantum dot coupled to a fractional quantum Hall edge
• AC driven strongly correlated quantum circuits and Hall edge states: Unified photo-assisted noise and revisited minimal excitations
• Interaction effects and charge quantization in single-particle quantum dot emitters
• Electronic wave-packets in integer quantum Hall edge channels: relaxation and dissipative effects
• Quasiparticles states for integer- and fractional-charged electron wave packets
• Levitons in correlated nano-scale systems
• Quantum transport phenomena induced by time-dependent fields
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Suppression of the radiation squeezing in interacting quantum Hall edge channels
• Correlated two-Leviton states in the fractional quantum Hall regime
• Periodic source of energy-entangled electrons in helical states coupled to a BCS superconductor