Electron counting with a two-particle emitter

Splettstoesser, Janine; Ol’khovskaya, Sveta; Moskalets, Michael; Büttiker, Μ.

doi:10.1103/physrevb.78.205110

Cited by 52 publications

(80 citation statements)

References 30 publications

(45 reference statements)

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“…We deduce that the SpPS emits two fully time-correlated charge particles in a fashion very similar to a double SPS. 4,17 However, the two emitted particles have also opposite spin-polarization as imposed by TRS, forming a Kramers' doublet. The corresponding emitted spin charge accumulated per lead is quantized in units of /2.…”

Section: Emitted Currentsmentioning

confidence: 99%

Proposal for an on-demand source of polarized electrons into the edges of a topological insulator

Inhofer

Bercioux

2013

Phys. Rev. B

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We propose a device that allows for the emission of pairs of spin-polarized electrons into the edge-states of a two dimensional topological insulator. Charge and spin emission is achieved using a periodically driven quantum dot weakly coupled to the edge states of the host topological insulator. We present calculations of the emitted time-dependent charge and spin currents of such a dynamical scatterer using the Floquet scattering matrix approach. Experimental signatures of spin-polarized two-particle emission can be found in noise measurements. Here a new form of noise suppression, named Z2-antibunching, is introduced. Additionally, we propose a set-up in which entanglement of the emitted electrons is generated. This entanglement is based on a post-selection procedure and becomes manifest in a violation of a Clauser-Horne-Shimony-Holt inequality.

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Section: Emitted Currentsmentioning

confidence: 99%

Proposal for an on-demand source of polarized electrons into the edges of a topological insulator

Inhofer

Bercioux

2013

Phys. Rev. B

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“…9 Theoretically, finite frequency FCS has been studied using quantum master equation and scattering matrix approach. [10][11][12][13] Less attention has been paid on FCS of transient transferred charge. 14,15 Besides FCS, another complementary quantity to characterize the stochastic processes is the waiting time distribution (WTD) which is the distribution of time interval between two successive events.…”

Section: Introductionmentioning

confidence: 99%

Waiting time distribution of quantum electronic transport in the transient regime

Tang

Wang

2014

Phys. Rev. B

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Waiting time is an important transport quantity that is complementary to average current and its fluctuation. So far all the studies of waiting time distribution (WTD) are limited to steady state transport (either dc or ac). The existing theory can not deal with WTD in the transient regime. In this regard, we develop a theoretical formalism based on Keldysh non-equilibrium Green's functions formalism to study WTD. This theory is suitable for dc, ac, and transient transport and can be used for first principles calculation on realistic systems. We apply this theory to a quantum dot system with a upward bias pulse and calculate cumulants of transferred charge as well as WTD in the transient regime. The oscillatory behavior of WTD is found in the transient regime. We give a general relation between WTD and experimental measured quantity and demonstrate its feasibility for a quantum dot system in the transient regime.

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“…Realizations of time controlled single charge sources have been reported in [1][2][3][4][5] and considered theoretically in [6][7][8][9][10][11][12][13] with a particular focus on the energy resolved single electron source based on a quantum dot [1]. Injecting more than one electron requires a different practical approach which is the subject of this paper.…”

mentioning

confidence: 99%

Integer and fractional charge Lorentzian voltage pulses analyzed in the framework of photon-assisted shot noise

et al. 2013

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The periodic injection n of electrons in a quantum conductor using periodic voltage pulses applied on a contact is studied in the energy and time-domain using shot noise computation in order to make comparison with experiments. We particularly consider the case of periodic Lorentzian voltage pulses. When carrying integer charge, they are known to provide electronic states with a minimal number of excitations, while other type of pulses are all accompanied by an extra neutral cloud of electron and hole excitations. This paper focuses on the low frequency shot noise which arises when the pulse excitations are partitioned by a single scatterer in the framework of the Photo Assisted Shot Noise (PASN) theory. As a unique tool to count the number of excitations carried per pulse, shot noise reveals that pulses of arbitrary shape and arbitrary charge show a marked minimum when the charge is integer. Shot noise spectroscopy is also considered to perform energy-domain characterization of the charge pulses. In particular it reveals the striking asymmetrical spectrum of Lorentzian pulses. Finally, time-domain information is obtained from Hong Ou Mandel like noise correlations when two trains of pulses generated on opposite contacts collide on the scatterer. As a function of the time delay between pulse trains, the noise is shown to measure the electron wavepacket autocorrelation function for integer Lorentzian thanks to electron antibunching. In order to make contact with recent experiments all the calculations are made at zero and finite temperature. This paper addresses the noiseless injection of a small finite number of electrons in a quantum conductor. Indeed, quantum effects become more and more accessible when only few degrees of freedom are controlled. During the last thirty years, research in this direction has lead to the possibility to manipulate quantum states with several degrees of freedom and to entangle particles making possible simple quantum information processing. Up to now most advances have been obtained in quantum optics with the manipulation of single photons emitted by atoms or semiconductor quantum dots, and in atomic physics with optical arrays of trapped cold atoms or ions More recently the manipulation of quantum states has become available in condensed matter systems using superconducting circuits and semiconductor quantum dots.A recent approach is the manipulation of single charges injected in a quantum ballistic conductors. Realizations of time controlled single charge sources have been reported in [1][2][3][4][5] and considered theoretically in [6-13] with a particular focus on the energy resolved single electron source based on a quantum dot [1]. Injecting more than one electron requires a different practical approach which is the subject of this paper. We will consider the more general case of coherent trains of few undistinguishable electrons [14,15] which opens the way to entangle several quasi-particles but also to probe the full counting statistics [16] with a finite number of electrons...

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Electron counting with a two-particle emitter

Cited by 52 publications

References 30 publications

Proposal for an on-demand source of polarized electrons into the edges of a topological insulator

Proposal for an on-demand source of polarized electrons into the edges of a topological insulator

Waiting time distribution of quantum electronic transport in the transient regime

Integer and fractional charge Lorentzian voltage pulses analyzed in the framework of photon-assisted shot noise

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