Correlated two-Leviton states in the fractional quantum Hall regime
arXiv:2308.00544 · doi:10.1103/PhysRevB.109.035436
Abstract
We consider a two-dimensional electron system in the Laughlin sequence of the fractional quantum Hall regime to investigate the effect of strong correlations on the mutual interaction between two Levitons, single-electron excitations generated by trains of quantized Lorentzian pulses. We focus on two-Leviton states injected in a single period with a time separation . In the presence of a quantum point contact operating in the weak-backscattering regime, we compute the backscattered charge by means of the Keldysh technique. In the limit of an infinite period and zero temperature, we show that the backscattered charge for a two-Leviton state is not equal to twice the backscattered charge for a single Leviton. We present an interpretation for this result in terms of the wave-packet formalism for Levitons, thus proposing that an effective interaction between the two Levitons is induced by the strongly-correlated background. Finally, we perform numerical calculations in the periodic case by using the Floquet formalism for photo-assisted transport. By varying the system parameters such as pulse width, filling factor and temperature we show that the value of the backscattered charge for two-Leviton states is strongly dependent on the pulse separation, thus opening scenarios where the effective interaction between Levitons can be controllably tuned.
arXiv comment12 pages, 7 figures, all comments are welcome!
References in corpus (62)
- Non-Abelian Anyons and Topological Quantum Computation
- A variational eigenvalue solver on a quantum processor
- Review article: Linear optical quantum computing
- Circuit Quantum Electrodynamics
- Topological orders and Edge excitations in FQH states
- Electron Counting Statistics and Coherent States of Electric Current
- Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
- An On-Demand Coherent Single Electron Source
- Wigner Crystal in One Dimension
- Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
- Violation of Kirchhoff's Laws for a Coherent RC Circuit
- On-demand single-electron transfer between distant quantum dots
- 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
- Electrical control of a solid-state flying qubit
- Universal Quantum Computing with Measurement-Induced Continuous-Variable Gate Sequence in a Loop-Based Architecture
- 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
- Minimal excitations in the fractional quantum Hall regime
- Fractionalization of minimal excitations in integer quantum Hall edge channels
- Levitons for electron quantum optics
- Decoherence and relaxation of a single electron in a one dimensional conductor
- Decoherence and relaxation of single electron excitations in quantum Hall edge channels
- Interference induced thermoelectric switching and heat rectification in quantum Hall junctions
- Photo--assisted current and shot noise in the fractional quantum Hall effect
- Unveiling the bosonic nature of an ultrashort few-electron pulse
- Single-electron entanglement and nonlocality
- Crystallization of Levitons in the fractional quantum Hall regime
- Klein Factors in multiple Fractional Quantum Hall edge tunneling
- Dynamical generation and detection of entanglement in neutral leviton pairs
- Minimal excitation states for heat transport in driven quantum Hall systems
- Spin-thermoelectric transport induced by interactions and spin-flip processes in two dimensional topological insulators
- Hong-Ou-Mandel characterization of multiply charged Levitons
- Macroscopic electron quantum coherence in a solid-state circuit
- Single quasiparticle and electron nano-emitter in the fractional quantum Hall regime
- First-order correlation function of the stream of single-electron wave-packets
- Half-levitons -- zero-energy excitations of a driven Fermi sea
- Andreev reflection of fractional quantum Hall quasiparticles
- Electron and electron-hole quasiparticle states in a driven quantum contact
- Poissonian tunneling through an extended impurity in the quantum Hall effect
- Collisional interferometry of Levitons in quantum Hall edge channels at
- Trapping and counting ballistic non-equilibrium electrons
- Levitons in superconducting point contacts
- Hong-Ou-Mandel heat noise in the quantum Hall regime
- Quasiparticle Andreev scattering in the fractional quantum Hall regime
- Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
- Dynamical Scheme for Interferometric Measurements of Full-Counting Statistics
- Single-particle shot noise at non-zero temperature
- Probing interactions via non-equilibrium momentum distribution and noise in integer quantum Hall systems at
- Composite two-particle sources
- Multi-particle interference in an electronic Mach-Zehnder interferometer
- High-temperature fusion of a multi-electron leviton
- Time-controlled charge injection in a quantum Hall fluid
- Microscopic theory of photo-assisted electronic transport in normal-metal/BCS-superconductor junctions
- Spectral properties of interacting helical channels driven by Lorentzian pulses
- Photoassisted shot noise spectroscopy at fractional filling factor
- Single-electron function at nonzero temperatures
- Electronic wave-packets in integer quantum Hall edge channels: relaxation and dissipative effects