Dynamical resurrection of the visibility in a Mach-Zehnder interferometer

TL;DR

This paper demonstrates that applying inverse voltage pulses can restore the original electron wave packet in a quantum Hall interferometer, improving interference visibility by counteracting Coulomb interaction effects.

Contribution

It introduces a method to dynamically resurrect electron wave packets in a Mach-Zehnder interferometer using classical voltage pulses, enhancing quantum interference visibility.

Findings

Inverse voltage pulses correct Coulomb-induced wave packet shake-up.

Restored wave packets lead to improved interference visibility.

The method is feasible in asymmetric Mach-Zehnder interferometers.

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.