Abstract:We report on the realization of a single-electron source, where current is transported through a single-level quantum dot (Q), tunnel-coupled to two superconducting leads (S). When driven with an ac gate voltage, the experiment demonstrates electron turnstile operation. Compared to the more conventional superconductor -normal metal -superconductor turnstile, our SQS device presents a number of novel properties, including higher immunity to the unavoidable presence of non-equilibrium quasiparticles in supercond… Show more
“…This additional coupling may lead to the creation of screening currents at the quantum point contact level and the emitted current, the actual measurable quantity, would have contributions which do not correspond to the inner cavity charge dynamics, as is suggested by Eq. (33). These contributions may be more or less important depending on the precise design of the device, and their detailed study goes beyond the scope of this paper focusing on the role of the charging energy on the out-of-equilibrium dynamics of the mesoscopic capacitor.…”
Section: Current Dynamicsmentioning
confidence: 99%
“…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
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.
“…This additional coupling may lead to the creation of screening currents at the quantum point contact level and the emitted current, the actual measurable quantity, would have contributions which do not correspond to the inner cavity charge dynamics, as is suggested by Eq. (33). These contributions may be more or less important depending on the precise design of the device, and their detailed study goes beyond the scope of this paper focusing on the role of the charging energy on the out-of-equilibrium dynamics of the mesoscopic capacitor.…”
Section: Current Dynamicsmentioning
confidence: 99%
“…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
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.
“…Moreover, dynamic single-electron emitters may generate quantized electrical currents that are given exactly by the driving frequency times the electronic charge [3,4]. Dynamic single-electron emitters have been realized in several experiments based on charge pumps [5][6][7][8][9][10][11][12][13], turnstiles [14][15][16], and mesoscopic capacitors [17,18] or by applying Lorentzian-shape voltage pulses to a contact [19,20].…”
We investigate the distribution of waiting times between electrons emitted from a periodically driven single-electron turnstile. To this end, we develop a scheme for analytic calculations of the waiting time distributions for arbitrary periodic driving protocols. We illustrate the general framework by considering a driven tunnel junction before moving on to the more involved single-electron turnstile. The waiting time distributions are evaluated at low temperatures for square-wave and harmonic driving protocols. In the adiabatic regime, the dynamics of the turnstile is synchronized with the external drive. As the non-adiabatic regime is approached, the waiting time distribution becomes dominated by cycle-missing events in which the turnstile fails to emit within one or several periods. We also discuss the influence of finite electronic temperatures. The waiting time distributions provide a useful characterization of the driven single-electron turnstile with complementary information compared to what can be learned from conventional current measurements.
“…I discuss also how to address separately electron-hole pairs and a fractionally charged zero-energy excitation in experiment. Introduction.-Recent realization of a triggered singleelectron source [1][2][3][4][5][6][7][8][9][10] opens a new era for a coherent electronics [11][12][13][14][15][16][17][18] by allowing it to go quantum much like a quantum optics. The analogues of the famous quantum optics effects were successfully demonstrated with single electrons in solid state circuits such as partitioning of electrons [7,[19][20][21] in Hanbury-Brown and Twiss geometry and quantum-statistical repulsion of electrons [7,22] in Hong-Ou-Mandel geometry.…”
A voltage pulse of a Lorentzian shape carrying a half of the flux quantum excites out of a zerotemperature Fermi sea an electron in a mixed state, which looks like a quasi-particle with an effectively fractional charge e/2. A prominent feature of such an excitation is a narrow peak in the energy distribution function laying exactly at the Fermi energy µ. Another spectacular feature is that the distribution function has symmetric tails as above as below µ, which results in a zero energy of an excitation. This sounds improbable since at zero temperature all available states below µ are fully occupied. The resolution is lying in the fact that such a voltage pulse excites also electron-hole pairs which free some space below µ and thus allow a zero-energy quasi-particle to exist. I discuss also how to address separately electron-hole pairs and a fractionally charged zero-energy excitation in experiment. Introduction.-Recent realization of a triggered singleelectron source [1-10] opens a new era for a coherent electronics [11][12][13][14][15][16][17][18] by allowing it to go quantum much like a quantum optics. The analogues of the famous quantum optics effects were successfully demonstrated with single electrons in solid state circuits such as partitioning of electrons [7,[19][20][21] in Hanbury-Brown and Twiss geometry and quantum-statistical repulsion of electrons [7,22] in Hong-Ou-Mandel geometry. Tomography of a singleelectron state [23] and a preparation of few-electron Fock states [20,24,25] are already reported.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.