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Electron Quantum Optics in a Quantum Information Perspective

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: closed (12 July 2021) | Viewed by 5863

Special Issue Editor


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Guest Editor
Dipartimento di Fisica, Università di Genova, 16146 Genova, Italy
Interests: fractional quantum Hall effect; quantum spin Hall effect; electron quantum optics; interaction effects in low-dimensional systems; energy transport in topological edge channels; quantum batteries
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Special Issue Information

Dear colleagues,

In recent years the possibility to create, manipulate, and measure single- to few-electron quantum states opened the way to the field of electron quantum optics. In this framework, conventional quantum optics tools have been properly reconsidered in order to describe the behavior of electrons ballistically propagating in mesoscopic devices. In particular, the realization of interferometers and the tomographic reconstruction of fermionic states have been among the milestones in this domain.

This branch of research has now reached a high level of maturity, making it possible to envisage the application of these propagating electronic wave-packets as flying qubits able to carry the information enclosed into a static qubit and transfer it unaffected along quantum circuits. In view of possible implementations in this direction, new effects related to the Pauli principle, many-body physics, unconventional correlation, and electron–electron interaction need to be carefully taken into account. Moreover, new experimental geometries need to be investigated in order to achieve an active optimal control over electronic wave-packets.

In this spirit, the present Special Issue is devoted to collecting the current experimental and theoretical state-of-the-art on this subject to settle a common ground for a new phases of electron quantum optics aimed at reaching an high level of control of individual electronic quantum states.

Dr. Dario Ferraro
Guest Editor

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Keywords

  • Electron quantum optics
  • Flying qubits
  • Electronic interferometers
  • Single-electron sources
  • Interaction effects at the single-electron level

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Published Papers (2 papers)

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Research

19 pages, 515 KiB  
Article
Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer
by Janne Kotilahti, Pablo Burset, Michael Moskalets and Christian Flindt
Entropy 2021, 23(6), 736; https://doi.org/10.3390/e23060736 - 10 Jun 2021
Cited by 5 | Viewed by 3213
Abstract
The development of dynamic single-electron sources has made it possible to observe and manipulate the quantum properties of individual charge carriers in mesoscopic circuits. Here, we investigate multi-particle effects in an electronic Mach–Zehnder interferometer driven by a series of voltage pulses. To this [...] Read more.
The development of dynamic single-electron sources has made it possible to observe and manipulate the quantum properties of individual charge carriers in mesoscopic circuits. Here, we investigate multi-particle effects in an electronic Mach–Zehnder interferometer driven by a series of voltage pulses. To this end, we employ a Floquet scattering formalism to evaluate the interference current and the visibility in the outputs of the interferometer. An injected multi-particle state can be described by its first-order correlation function, which we decompose into a sum of elementary correlation functions that each represent a single particle. Each particle in the pulse contributes independently to the interference current, while the visibility (given by the maximal interference current) exhibits a Fraunhofer-like diffraction pattern caused by the multi-particle interference between different particles in the pulse. For a sequence of multi-particle pulses, the visibility resembles the diffraction pattern from a grid, with the role of the grid and the spacing between the slits being played by the pulses and the time delay between them. Our findings may be observed in future experiments by injecting multi-particle pulses into a Mach–Zehnder interferometer. Full article
(This article belongs to the Special Issue Electron Quantum Optics in a Quantum Information Perspective)
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12 pages, 752 KiB  
Article
Electronic Wave-Packets in Integer Quantum Hall Edge Channels: Relaxation and Dissipative Effects
by Giacomo Rebora, Dario Ferraro, Ramiro H. Rodriguez, François D. Parmentier, Patrice Roche and Maura Sassetti
Entropy 2021, 23(2), 138; https://doi.org/10.3390/e23020138 - 22 Jan 2021
Cited by 7 | Viewed by 1875
Abstract
We theoretically investigate the evolution of the peak height of energy-resolved electronic wave-packets ballistically propagating along integer quantum Hall edge channels at filling factor equal to two. This is ultimately related to the elastic scattering amplitude for the fermionic excitations evaluated at different [...] Read more.
We theoretically investigate the evolution of the peak height of energy-resolved electronic wave-packets ballistically propagating along integer quantum Hall edge channels at filling factor equal to two. This is ultimately related to the elastic scattering amplitude for the fermionic excitations evaluated at different injection energies. We investigate this quantity assuming a short-range capacitive coupling between the edges. Moreover, we also phenomenologically take into account the possibility of energy dissipation towards additional degrees of freedom—both linear and quadratic—in the injection energy. Through a comparison with recent experimental data, we rule out the non-dissipative case as well as a quadratic dependence of the dissipation, indicating a linear energy loss rate as the best candidate for describing the behavior of the quasi-particle peak at short enough propagation lengths. Full article
(This article belongs to the Special Issue Electron Quantum Optics in a Quantum Information Perspective)
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