Controlled emission time statistics of a dynamic single-electron transistor

Brange, Fredrik; Schmidt, Adrian; Bayer, Johannes C.; Wagner, Timo; Flindt, Christian; Haug, R. J.

doi:10.1126/sciadv.abe0793

Cited by 18 publications

(14 citation statements)

References 25 publications

(53 reference statements)

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“…1 would be about Γ ≃ 10 kHz, and the temperature around T ≃ 30 mK. These parameters are compatible with recent measurements of waiting time distributions [41] and the real-time detection of singleelectron tunneling involving virtual processes [70]. Moreover, state-of-the-art setups can detect single electrons on a microsecond timescale [71], corresponding to tunneling rates on the order of Γ ≃ 1 MHz as in Fig.…”

Section: -2supporting

confidence: 86%

“…Introduction.-Electronic waiting time distributions are an important concept in the analysis of quantum transport in nanoscale structures , and recently they have been measured in several experiments [37][38][39][40][41][42]. Unlike full counting statistics, which typically considers the timeintegrated current fluctuations [43][44][45], waiting time distributions are concerned with the short time span that passes between the charge transfers in a nanoscale conductor.…”

mentioning

confidence: 99%

“…For example, it has been predicted that the waiting time distribution for a quantum point contact should exhibit a crossover from Wigner-Dyson statistics at full transmission to Poisson statistics close to pinch-off [4,9], illustrating a profound connection between free fermions and the eigenvalues of random matrices [46]. Experimentally, waiting time distributions have been used to demonstrate accurate control of the emission time statistics of a dynamic single-electron transistor [22,41] and to characterize the splitting of Cooper pairs in the time domain [26,36,42]. Theoretically, electron waiting time distributions have been considered in two opposite regimes.…”

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confidence: 99%

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Electron Waiting Times in a Strongly Interacting Quantum Dot: Interaction Effects and Higher-Order Tunneling Processes

Stegmann

Sothmann²,

König³

et al. 2021

Phys. Rev. Lett.

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Distributions of electron waiting times have been measured in several recent experiments and have been shown to provide complementary information compared with what can be learned from the electric current fluctuations. Existing theories, however, are restricted to either weakly coupled nanostructures or phasecoherent transport in mesoscopic conductors. Here, we consider an interacting quantum dot and develop a real-time diagrammatic theory of waiting time distributions that can treat the interesting regime, in which both interaction effects and higher-order tunneling processes are important. Specifically, we find that our quantum-mechanical theory captures higher-order tunneling processes at low temperatures, which are not included in a classical description, and which dramatically affect the waiting times by allowing fast tunneling processes inside the Coulomb blockade region. Our work paves the way for systematic investigations of temporal fluctuations in interacting quantum systems, for example close to a Kondo resonance or in a Luttinger liquid.

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Section: -2supporting

confidence: 86%

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confidence: 99%

mentioning

confidence: 99%

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Electron Waiting Times in a Strongly Interacting Quantum Dot: Interaction Effects and Higher-Order Tunneling Processes

Stegmann

Sothmann²,

König³

et al. 2021

Phys. Rev. Lett.

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“…Several works have explored the possibilities of generating entanglement using dynamic single-electron sources [69][70][71][72][73][74][75][76][77][78]. Heat transport and fluctuations of dynamic single-electron emitters have also been considered [79][80][81][82][83][84] as well as the distribution of waiting times between emitted particles [85][86][87][88][89]. In addition, methods for performing signal processing of quantum electric currents have been developed [90,91], and combinations of voltage pulses and superconductors have been discussed [92,93].…”

Section: Introductionmentioning

confidence: 99%

Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer

Kotilahti

Burset

Moskalets

et al. 2021

Entropy

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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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“…Information about the regularity of the dynamic Cooper pair splitter can be obtained from the waiting times between the tunneling events [20,56]. The distribution of waiting times can be expressed as [57][58][59][60][61]…”

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confidence: 99%

Dynamic Cooper Pair Splitter

2021

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Cooper pair splitters are promising candidates for generating spin-entangled electrons. However, the splitting of Cooper pairs is a random and noisy process, which hinders further synchronized operations on the entangled electrons. To circumvent this problem, we here propose and analyze a dynamic Cooper pair splitter that produces a noiseless and regular flow of spin-entangled electrons. The Cooper pair splitter is based on a superconductor coupled to quantum dots, whose energy levels are tuned in and out of resonance to control the splitting process. We identify the optimal operating conditions for which exactly one Cooper pair is split per period of the external drive and the flow of entangled electrons becomes noiseless. To characterize the regularity of the Cooper pair splitter in the time domain, we analyze the g ð2Þ function of the output currents and the distribution of waiting times between split Cooper pairs. Our proposal is feasible using current technology, and it paves the way for dynamic quantum information processing with spinentangled electrons.

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Controlled emission time statistics of a dynamic single-electron transistor

Cited by 18 publications

References 25 publications

Electron Waiting Times in a Strongly Interacting Quantum Dot: Interaction Effects and Higher-Order Tunneling Processes

Electron Waiting Times in a Strongly Interacting Quantum Dot: Interaction Effects and Higher-Order Tunneling Processes

Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer

Dynamic Cooper Pair Splitter

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