Effective electrostatic attraction between electrons due to quantum interference

TL;DR

This paper demonstrates that quantum interference can create an effective electrostatic attraction between electrons, challenging classical repulsion rules, through a Mach-Zehnder interferometer setup.

Contribution

It introduces a novel quantum interference-based method to induce effective attraction between electrons, which is a significant departure from classical electrostatic behavior.

Findings

Quantum superposition can alter electrostatic interactions.

Effective attraction observed via post-selection in interferometer.

Proposed experimental setup for verification.

Abstract

We show how, with the use of quantum interference, we can violate, in some sense, the rule that charges of equal sign always repel each other. By considering two electrons that propagate parallel to each other in a Mach-Zehnder interferometer, we show that the quantum superposition of the electrostatic repulsion when the electrons propagate in the same path with the absence of interaction when they propagate in opposite paths may result in an effective attraction between them, when we post-select by which port each electron leaves the interferometer. We also discuss an experimental setup that could be used to verify such an effect.