Quasiparticles states for integer- and fractional-charged electron wave packets
arXiv:2004.00743 · doi:10.1103/PhysRevB.103.245429
Abstract
It is well-known that Lorentzian voltage pulses with integer quantum flux can lead to noiseless current in quantum conductors. The current is carried by charged quasiparticles in the Fermi sea of the conductors, which have well-defined wave functions and have been named as "levitons". However, it is not clear how levitons evolve as the flux of the pulses changes continuously toward a fractional value. To answer this question, we introduce a set of Wannier-like single-body wave functions, which can be used to describe the quantum states of the quasiparticles injected by Lorentzian pulses with arbitrary flux. We show that, by tuning the flux of the pulses, levitons can evolve into quasiparticles carrying fractional charges. In the meantime, additional fractional-charged quasiparticles can also be excited, which can form neutral electron-hole pairs. The information of these quasiparticles can be extracted from the shot noise of the current. These knowledge can be helpful for the time-resolved quantum control of propagating electrons in solid-state circuits.
References in corpus (23)
- An On-Demand Coherent Single Electron Source
- Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
- Minimal excitation states of electrons in one-dimensional wires
- Hong-Ou-Mandel experiment for temporal investigation of single electron fractionalization
- Coherent Particle Transfer in an On-Demand Single-Electron Source
- Partitioning of on-demand electron pairs
- Electron Waiting Times in Mesoscopic Conductors
- Electron quantum optics in quantum Hall edge channels
- Real time decoherence of Landau and Levitov quasi-particles in quantum Hall edge channels
- Elementary events of electron transfer in a voltage-driven quantum point contact
- Quantum tomography of electrical currents
- Optimal spin-entangled electron-hole pair pump
- Single-electron source: Adiabatic versus non-adiabatic emission
- 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
- Mach-Zehnder interferometry with periodic voltage pulses
- Optimal pumping of orbital entanglement with single particle emitters
- Electron waiting times of a periodically driven single-electron turnstile
- 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
- Processing quantum signals carried by electrical currents
- Quantum teleportation of single-electron states
- Normal and abnormal electron-hole pairs in a voltage-pulse-driven quantum conductor