Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer

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...

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Main Authors: Janne Kotilahti, Pablo Burset, Michael Moskalets, Christian Flindt
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/6/736
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author Janne Kotilahti
Pablo Burset
Michael Moskalets
Christian Flindt
author_facet Janne Kotilahti
Pablo Burset
Michael Moskalets
Christian Flindt
author_sort Janne Kotilahti
collection DOAJ
description 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.
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spelling doaj.art-bb0d21dfd02c4fbaa5227c8f5f2fefc12023-11-21T23:39:59ZengMDPI AGEntropy1099-43002021-06-0123673610.3390/e23060736Multi-Particle Interference in an Electronic Mach–Zehnder InterferometerJanne Kotilahti0Pablo Burset1Michael Moskalets2Christian Flindt3Department of Applied Physics, Aalto University, 00076 Aalto, FinlandDepartment of Applied Physics, Aalto University, 00076 Aalto, FinlandDepartment of Metal and Semiconductor Physics, NTU “Kharkiv Polytechnic Institute”, 61002 Kharkiv, UkraineDepartment of Applied Physics, Aalto University, 00076 Aalto, FinlandThe 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.https://www.mdpi.com/1099-4300/23/6/736time-dependent currentsFloquet scattering theorylevitonselectron quantum opticssingle-electron sourcesMach–Zehnder interferometer
spellingShingle Janne Kotilahti
Pablo Burset
Michael Moskalets
Christian Flindt
Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer
Entropy
time-dependent currents
Floquet scattering theory
levitons
electron quantum optics
single-electron sources
Mach–Zehnder interferometer
title Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer
title_full Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer
title_fullStr Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer
title_full_unstemmed Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer
title_short Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer
title_sort multi particle interference in an electronic mach zehnder interferometer
topic time-dependent currents
Floquet scattering theory
levitons
electron quantum optics
single-electron sources
Mach–Zehnder interferometer
url https://www.mdpi.com/1099-4300/23/6/736
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AT pabloburset multiparticleinterferenceinanelectronicmachzehnderinterferometer
AT michaelmoskalets multiparticleinterferenceinanelectronicmachzehnderinterferometer
AT christianflindt multiparticleinterferenceinanelectronicmachzehnderinterferometer