Bell’s inequality test with time-delayed two-particle correlations

Lebedev, A. V.; Blatter, G.

doi:10.1103/physrevb.77.035301

Cited by 2 publications

(3 citation statements)

References 17 publications

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“…Their analysis used the quantum electron optics frame developed by Grenier et al [53,54]. Other recent theoretical works discussed various related situations [8][9][10]64]. In particular ref.…”

Section: Energy Domain: Spectroscopy Of the E-h Pairs Excitationsmentioning

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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Section: Energy Domain: Spectroscopy Of the E-h Pairs Excitationsmentioning

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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“…With r m = δ m1 , we obtain the simple result P rr (τ 21 ) = U 11 (τ 21 )ψ 1 2 (see also (30) with n, m = 1 and α 1 = β 1 = r) and since Q n = δ n1 , we find the projected correlator (see Eq. (32))…”

Section: B Strong Measurementmentioning

confidence: 99%

“…As shown in Ref. 30, we can relate the number fluctuation in the component Ψ f ⟩ tt to the overlap of wavefunctions as…”

Section: E Experimental Implementationmentioning

confidence: 99%

Time correlators from deferred measurements

et al. 2016

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Repeated measurements as typically occurring in two-or multi-time correlators rely on von Neumann's projection postulate, telling how to restart the system after an intermediate measurement.We invoke the principle of deferred measurement to describe an alternative procedure where coevolving quantum memories extract system information through entanglement, combined with a final readout of the memories described by Born's rule. The new approach to repeated quantum measurements respects the unitary evolution of quantum mechanics during intermediate times, unifies the treatment of strong and weak measurements, and reproduces the projected and (anti-) symmetrized correlators in the two limits. As an illustration, we apply our formalism to the calculation of the electron charge correlator in a mesoscopic physics setting, where single electron pulses assume the role of flying memory qubits. We propose an experimental setup which reduces the measurement of the time correlator to the measurement of currents and noise, exploiting the (pulsed) injection of electrons to cope with the challenge of performing short-time measurements.

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Bell’s inequality test with time-delayed two-particle correlations

Cited by 2 publications

References 17 publications

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

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

Time correlators from deferred measurements

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