On-demand electron source with tunable energy distribution

Yin, Yitong

doi:10.1088/1361-648x/aac843

Cited by 4 publications

(3 citation statements)

References 37 publications

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“…Moreover, their propagation in cyclotron-resolved channels instead of spinresolved ones [14,29], together with the presence of a tunable potential mesa and small beam splitters, is proved [15] to shorten the distance of copropagation and to reduce decoherence phenomena arising from interchannel interactions, as charge fractionalization [42]. Additionally, recent theoretical studies [43] and experimental works [44,45] observe that a proper tuning of the energy distribution for the emitted carrier and the magnetic regime allows controlling the relaxation processes induced by inelastic scattering with acoustic and optical phonons.…”

Section: Discussionmentioning

confidence: 96%

Two-electron selective coupling in an edge-state based conditional phase shifter

et al. 2020

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We investigate the effect of long-range Coulomb interaction on the two-electron scattering in the integer quantum Hall regime at bulk filling factor two. We compute the dynamics of the exact two-particle wave function by means of a parallel version of the split-step Fourier method in a 2D potential background reproducing the effect of depleting gates in a realistic heterostructure, with the charge carrier represented by a localized wave packet of edge states. We compare the spatial shift induced by Coulomb repulsion in the final two-electron wave function for two indistinguishable electrons initialized in different configurations according to their Landau index and analyze their bunching probability and the effect of screening. We finally prove the feasibility of this device as a two-qubit conditional phase shifter able to generate controlled entanglement from product states.

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Section: Discussionmentioning

confidence: 96%

Two-electron selective coupling in an edge-state based conditional phase shifter

et al. 2020

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“…Ryu et al also proposed a theoretical protocol to generate and detect almost identical Gaussian WPs from non-identical quantum dot pumps [84]. Recently, the modeling of on-demand electron sources also addresses the specific energy distribution of the emitted carriers [85,86], and theoretical studies [87] analyze the magnetic and energetic regime to quench decoherence and relaxation processes induced by inelastic scattering with acoustic and optical phonons.…”

Section: Quasi-particle Wave Function Of Electrons Propagating In Edgmentioning

confidence: 99%

Quantum computing with quantum-Hall edge state interferometry

Bordone

Bellentani

Bertoni

2019

Semicond. Sci. Technol.

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Electron interferometers based on Hall edge states proved to be robust demonstrators of the coherent quantum dynamics of carriers. Several proposals to expose their capability to build and control quantum entanglement and to exploit them as building block for quantum computing devices has been presented. Here, we review the time-dependent numerical modeling of Hall interferometers operating at the single-carrier level at integer filling factor (FF). By defining the qubit state either as the spatial localization (at FF 1) or the Landau index (at FF 2) of a single carrier propagating in the edge state, we show how a generic one-qubit rotation can be realized. By a proper design of the 2DEG potential landscape, an entangling two-qubit gate can be implemented by exploiting Coulomb interaction, thus realizing a universal set of quantum gates. We also assess how the shape of the edge confining potential affects the visibility of the quantum transformations.

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“…Each leviton carries a unit electric charge and can be described by a well-defined wave function 26,27 . The corresponding quantum state of the integer-charged wave packet can be described by the Slater determinant built from the wave functions of levitons, demonstrating an elegant protocol for the quantum control of the wave packet in solid-state circuits [28][29][30][31][32][33][34][35][36][37][38][39][40] .…”

Section: Introductionmentioning

confidence: 99%

Quasiparticles states for integer- and fractional-charged electron wave packets

Yue,

Yin

2020

Preprint

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It is well-known that Lorentzian voltage pulses with integer quantum flux can lead to noiseless current in quantum conductors. The current is carried by charged quasiparticles in the Fermi sea of the conductors, which have well-defined wave functions and have been named as "levitons". However, it is not clear how levitons evolve as the flux of the pulses changes continuously toward a fractional value. To answer this question, we introduce a set of Wannier-like single-body wave functions, which can be used to describe the quantum states of the quasiparticles injected by Lorentzian pulses with arbitrary flux. We show that, by tuning the flux of the pulses, levitons can evolve into quasiparticles carrying fractional charges. In the meantime, additional fractional-charged quasiparticles can also be excited, which can form neutral electron-hole pairs. The information of these quasiparticles can be extracted from the shot noise of the current. These knowledge can be helpful for the time-resolved quantum control of propagating electrons in solid-state circuits.

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On-demand electron source with tunable energy distribution

Cited by 4 publications

References 37 publications

Two-electron selective coupling in an edge-state based conditional phase shifter

Two-electron selective coupling in an edge-state based conditional phase shifter

Quantum computing with quantum-Hall edge state interferometry

Quasiparticles states for integer- and fractional-charged electron wave packets

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