Dynamical resurrection of the visibility in a Mach-Zehnder interferometer

Abstract

We study a single-electron pulse injected into the chiral edge-state of a quantum Hall device and subject to a capacitive Coulomb interaction. We find that the scattered multi-particle state remains unentangled and hence can be created itself by a suitable classical voltage-pulse $V(t)$. The application of the inverse pulse $-V(-t)$ corrects for the shake-up due to the interaction and resurrects the original injected wave packet. We suggest an experiment with an asymmetric Mach-Zehnder interferometer where the application of such pulses manifests itself in an improved visibility.

4 pages, 1 figure

References in corpus (8)

• An On-Demand Coherent Single Electron Source
• Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
• Minimal excitation states of electrons in one-dimensional wires
• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• Finite bias visibility of the electronic Mach-Zehnder interferometer
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Cited by in corpus (8)

• Integer and fractional charge Lorentzian voltage pulses analyzed in the frame of Photon-assisted Shot Noise
• Fractionalization of minimal excitations in integer quantum Hall edge channels
• Single-electron coherence: finite temperature versus pure dephasing
• Analytically solvable model of an electronic Mach-Zehnder interferometer
• Two-particle entanglement in capacitively coupled Mach-Zehnder interferometers
• Time-bin entanglement of quasi-particles in semiconductor devices
• Visibility recovery by strong interaction in an electronic Mach-Zehnder interferometer
• Quantum computing through electron propagation in the edge states of quantum spin Hall systems