Ultrafast Emission and Detection of a Single-Electron Gaussian Wave Packet: A Theoretical Study

Abstract

Generating and detecting a prescribed single-electron state is an important step towards solid-state fermion optics. We propose how to generate an electron in a Gaussian state, using a quantum-dot pump with gigahertz operation and realistic parameters. With the help of a strong magnetic field, the electron occupies a coherent state in the pump, insensitive to the details of nonadiabatic evolution. The state changes during the emission from the pump, governed by competition between the Landauer-Buttiker traversal time and the passage time. When the former is much shorter than the latter, the emitted state is a Gaussian wave packet. The Gaussian packet can be identified by using a dynamical potential barrier, with a resolution reaching the Heisenberg minimal uncertainty $\hslash /2$.

References in corpus (9)

• 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
• Quantized dynamics of a coherent capacitor
• Shot noise of a mesoscopic two-particle collider
• Partitioning of on-demand electron pairs
• Counting statistics for electron capture in a dynamic quantum dot
• Quantum fluctuations and coherence in high-precision single-electron capture
• Relaxation of hot electrons in a degenerate two-dimensional electron system: transition to one-dimensional scattering

Cited by in corpus (6)

• A tunable electronic beam splitter realized with crossed graphene nanoribbons
• Coulomb and exchange interaction effects on the exact two-electron dynamics in the Hong-Ou-Mandel interferometer based on Hall edge states
• Partition of Two Interacting Electrons by a Potential Barrier
• Semiconductor-based electron flying qubits: Review on recent progress accelerated by numerical modelling
• Design of a Single-Shot Electron detector with sub-electron sensitivity for electron flying qubit operation
• Coherent states in a magnetic field and their generalizations