Dynamical Resurrection of the Visibility in a Mach-Zehnder Interferometer

Lebedev, A. V.; Blatter, G.

doi:10.1103/physrevlett.107.076803

Cited by 9 publications

(18 citation statements)

References 18 publications

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“…This experiment has then triggered a prolific both experimental [9,10,11,12,13,14,15,16,17,18,19,20,21,22] and theoretical [23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,…”

Section: Introductionmentioning

confidence: 99%

Single-electron coherence: Finite temperature versus pure dephasing

Moskalets

Haack

2016

Physica E: Low-dimensional Systems and Nanostructures

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We analyze a coherent injection of single electrons on top of the Fermi sea in two situations, at finite-temperature and in presence of pure dephasing. Both finite-temperature and pure dephasing change the property of the injected quantum states from pure to mixed. However, we show that the temperature-induced mixedness does not alter the coherence properties of these single-electronic states. In particular two such mixed states exhibit perfect antibunching while colliding at an electronic wave splitter. This is in striking difference with the dephasing-induced mixedness which suppresses antibunching. On the contrary, a single-particle shot noise is suppressed at finite temperatures but is not affected by pure dephasing. This work therefore extends the investigation of the coherence properties of single-electronic states to the case of mixed states and clarifies the difference between different types of mixedness.

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Section: Introductionmentioning

confidence: 99%

Single-electron coherence: Finite temperature versus pure dephasing

Moskalets

Haack

2016

Physica E: Low-dimensional Systems and Nanostructures

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“…The remarkable result of ref. [14,15] has triggered several relevant theoretical contributions [9,17,[27][28][29][30] in which the property and potential use of the Lorentzian voltage pulses are discussed. An experimental implementation has been recently done [31].…”

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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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“…We note that in Ref. 18, an asymmetric Mach-Zehnder interferometer was discussed in a context different from our study, to show that a voltage pulse is applied to undo the distortion of a single-particle wave packet due to a capacitive Coulomb interaction.…”

Section: Discussionmentioning

confidence: 90%

Visibility recovery by strong interaction in an electronic Mach-Zehnder interferometer

Lee

Sim

2012

Phys. Rev. B

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We study the evolution of a single-electron packet of Lorentzian shape along an edge of the integer quantum Hall regime or in a Mach-Zehnder interferometer, considering a capacitive Coulomb interaction and using a bosonization approach. When the packet propagates along a chiral quantum Hall edge, we find that its electron density profile becomes more distorted from Lorentzian due to the generation of electron-hole excitations, as the interaction strength increases yet stays in a weak-interaction regime. However, as the interaction strength becomes larger and enters a strong-interaction regime, the distortion becomes weaker and eventually the Lorentzian packet shape is recovered. The recovery of the packet shape leads to an interesting feature of the interference visibility of the symmetric Mach-Zehnder interferometer whose two arms have the same interaction strength. As the interaction strength increases, the visibility decreases from the maximum value in the weak-interaction regime and then increases to the maximum value in the strong-interaction regime. We argue that this counterintuitive result also occurs under other types of interactions.

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Dynamical Resurrection of the Visibility in a Mach-Zehnder Interferometer

Cited by 9 publications

References 18 publications

Single-electron coherence: Finite temperature versus pure dephasing

Single-electron coherence: Finite temperature versus pure dephasing

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

Visibility recovery by strong interaction in an electronic Mach-Zehnder interferometer

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