Two-electron state from the Floquet scattering matrix perspective

Abstract

Two single-particle sources coupled in series to a chiral electronic waveguide can serve as a probabilistic source of two-particle excitations with tunable properties. The second-order correlation function, characterizing the state of emitted electrons in space-time, is expressed in terms of the Floquet scattering matrix of a source. It is shown that the Fourier transform of the correlation function, characterizing the emitted state in energy space, can be accessed with the help of an energy resolved shot-noise measurement. The two-electron state emitted adiabatically is discussed in detail. In particular, the two-electron wave function is represented via two different sets of single-particle wave functions accessible experimentally.

12.5 pages, 3 figures

References in corpus (19)

• An On-Demand Coherent Single Electron Source
• Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
• Single-parameter non-adiabatic quantized charge pumping
• Minimal excitation states of electrons in one-dimensional wires
• Shot noise of a mesoscopic two-particle collider
• Tuning Energy Relaxation along Quantum Hall Channels
• Coherent Particle Transfer in an On-Demand Single-Electron Source
• Electron quantum optics in quantum Hall edge channels
• Wigner function approach to single electron coherence in quantum Hall edge channels
• Counting statistics for electron capture in a dynamic quantum dot
• Generation of energy selective excitations in quantum Hall edge states
• Heat production and current noise for single- and double-cavity quantum capacitors
• Elementary Charge Transfer Processes in Mesoscopic Conductors
• Quantum heat fluctuations of single particle sources
• Electron counting with a two-particle emitter
• Single-electron source: Adiabatic versus non-adiabatic emission
• Spectroscopy of electron flows with single- and two-particle emitters
• Optimal pumping of orbital entanglement with single particle emitters
• Subnanosecond single electron source in the time-domain

Cited by in corpus (22)

• Scattering Theory for Floquet-Bloch States
• Electron quantum optics as quantum signal processing
• Floquet scattering matrix theory of heat fluctuations in dynamical quantum conductors
• First-order correlation function of the stream of single-electron wave-packets
• Half-levitons -- zero-energy excitations of a driven Fermi sea
• Two-particle interferometry in quantum Hall edge channels
• Single-electron coherence: finite temperature versus pure dephasing
• Heat and charge transport measurements to access single-electron quantum characteristics
• Electronic quantum optics beyond the integer quantum Hall effect
• Processing quantum signals carried by electrical currents
• Single-particle shot noise at non-zero temperature
• Two-electron coherence and its measurement in electron quantum optics
• Composite two-particle sources
• Multi-particle interference in an electronic Mach-Zehnder interferometer
• High-temperature fusion of a multi-electron leviton
• Single-particle emission at finite temperatures
• Photoexcitation in two-dimensional topological insulators: Generating and controlling electron wavepackets in Quantum Spin Hall systems
• Single-electron $G^{(2)}$ function at nonzero temperatures
• Long-range Fermi sea correlations as the resource for encoding quantum information
• On-demand electron source with tunable energy distribution
• Control over few photon pulses by a time-periodic modulation of the photon-emitter coupling
• Single-electron emission from degenerate quantum levels