Minimal Excitations in the Fractional Quantum Hall Regime

Rech, Jérôme; Ferraro, Dario; Jonckheere, Thibaut; Vannucci, Luca; Sassetti, Maura; Martin, Thierry

doi:10.1103/physrevlett.118.076801

Cited by 77 publications

(122 citation statements)

References 46 publications

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“…In this direction, the characterization of a single‐quasiparticle source was recently proposed , and the HBT setup was studied in Ref. for Lorentzian WPs.…”

Section: Discussionmentioning

confidence: 99%

Electronic quantum optics beyond the integer quantum Hall effect

Ferraro

Jonckheere

Rech

et al. 2016

Physica Status Solidi (b)

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The analog of two seminal quantum optics experiments are considered in a condensed matter setting with single electron sources injecting electronic wave packets on edge states coupled through a quantum point contact. When only one electron is injected, the measurement of noise correlations at the output of the quantum point contact corresponds to the Hanbury-Brown and Twiss setup. When two electrons are injected on opposite edges, the equivalent of the Hong-Ou-Mandel collision is achieved, exhibiting a dip as in the coincidence measurements of quantum optics. The Landauer-Buttiker scattering theory is used to first review these phenomena in the integer quantum Hall effect, next, to focus on two more exotic systems: edge states of two dimensional topological insulators, where new physics emerges from time reversal symmetry and three electron collisions can be achieved; and edges states of a hybrid Hall/superconducting device, which allow to perform electron quantum optics experiments with Bogoliubov quasiparticles.Comment: 13 pages, 10 figures, invited contribution for a focus issue on "Single-electron control in solid-state devices

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“…In this direction, the characterization of a single‐quasiparticle source was recently proposed , and the HBT setup was studied in Ref. for Lorentzian WPs.…”

Section: Discussionmentioning

confidence: 99%

Electronic quantum optics beyond the integer quantum Hall effect

Ferraro

Jonckheere

Rech

et al. 2016

Physica Status Solidi (b)

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“…Indeed, as shown in Ref. , it is mandatory that the total phase variation resulting from the voltage pulse is not a fraction of

2 π

in order to have only electron‐like excitations and thus a minimal excitation property. This implies that the Faraday flux, which in the 1/3 FQHE regime writes as

\int e^{*} V false(t false) normald t

, must be equal to nh .…”

Section: Perspectivesmentioning

confidence: 99%

“…This situation has been studied in Ref. in a different spirit. In this regime, in agreement with predictions by , shot‐noise measurements, performed in a regime where only static dc voltage sources are used to create an incoming flux of integer charges, have shown that a Poissonian emission of fractional charges

e^{*}

are emitted to contribute to the backscattering current .…”

Section: Perspectivesmentioning

confidence: 99%

Levitons for electron quantum optics

Glattli

Roulleau

2016

Physica Status Solidi (b)

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Single electron sources enable electron quantum optics experiments where single electrons emitted in a ballistic electronic interferometer plays the role of a single photons emitted in an optical medium in Quantum Optics. A qualitative step has been made with the recent generation of single charge levitons obtained by applying Lorentzian voltage pulse on the contact of the quantum conductor. Simple to realize and operate, the source emits electrons in the form of striking minimal excitation states called levitons. We review the striking properties of levitons and their possible applications in quantum physics to electron interferometry and entanglement. Copyright line will be provided by the publisher 1 Single electron sources In this introduction, we will distinguish single charge sources from coherent single electrons sources. The former have been developed for quantum metrology where the goal is to transfer an integer charge at high frequency f through a conductor with good accuracy to realize a quantized current source whose current I = ef shows metrological accuracy. The latter, the coherent single electrons source, aims at emitting (injecting) a single electron whose wave-function is well defined and controlled to realize further single electron coherent manipulation via quantum gates. The gates are provided by electronic beam-splitters made with Quantum Point Contacts or provided by electronic Mach-Zehnder and FabryProt interferometers. Here it is important that the injected single electron is the only excitation created in the conductor. The frequency f of injection is not chosen to have a large current, as current accuracy is not the goal, but only to get sufficient statistics on the electron transfer events to extract physical information. single charge sources for current standardsThe first manipulation of single charges trace back to the early 90's where physicists took advantage of charge quantization of a submicronic metallic island nearly isolated from leads by tunnel barriers. The finite energy E C = e 2 /2C to charge the small capacitor C with a single charge being larger than temperature (typically one kelvin for

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“…In this case, screening currents may be generated at the quantum point contact level, which also lead to the kink smearing, but also to corrections to Eqs. (32) and (33). The most general capacitive coupling that also includes interactions between electrons inside and outside of the cavity is obtained by replacing Eq.…”

Section: Appendix D: Step Response With Finite Switching Time and Extmentioning

confidence: 99%

“…Operated out of equilibrium and in the weak tunneling limit, this system allows the triggered emission of single electrons [9][10][11] and has paved the way to the realization of quantum optics experiments with electrons [12][13][14][15], as well as probing electron fractionalization [16,17] and relaxation [18]. On-demand single-electron sources were also recently realized relying on real-time switching of tunnel barriers [19][20][21][22][23][24], "electron sound-wave surfing" [25][26][27], the generation of levitons [28][29][30][31][32], and superconducting turnstiles [33,34].…”

Section: Introductionmentioning

confidence: 99%

Interacting mesoscopic capacitor out of equilibrium

2017

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We consider the full nonequilibrium response of a mesoscopic capacitor in the large transparency limit, exactly solving a model with electron-electron interactions appropriate for a cavity in the quantum Hall regime. For a cavity coupled to the electron reservoir via an ideal point contact, we show that the response to any time-dependent gate voltage V g (t) is strictly linear in V g . We analyze the charge and current response to a sudden gate voltage shift and find that this response is not captured by a simple circuit analogy. In particular, in the limit of strong interactions a sudden change in the gate voltage leads to the emission of a sequence of multiple charge pulses, the width and separation of which are controlled by the charge-relaxation time τ c = hC g /e 2 and the time of flight τ f . We also consider the effect of a finite reflection amplitude in the point contact, which leads to nonlinear-in-gate-voltage corrections to the charge and current response.

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Minimal Excitations in the Fractional Quantum Hall Regime

Cited by 77 publications

References 46 publications

Electronic quantum optics beyond the integer quantum Hall effect

Electronic quantum optics beyond the integer quantum Hall effect

Levitons for electron quantum optics

Interacting mesoscopic capacitor out of equilibrium

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