Quantum interference experiments, modular variables and weak measurements

TL;DR

This paper explores quantum interference using the Heisenberg picture, emphasizing non-local interactions, weak measurements, and modular variables to provide new insights and experimental possibilities beyond traditional formulations.

Contribution

It introduces a novel perspective on quantum interference through the Heisenberg picture, highlighting non-local effects and proposing a Gedankenexperiment to measure them.

Findings

Localized particle with non-local interactions explains interference behavior

Supports a new approach leading to new experiments and devices

Provides physical explanation for open/closed slit effects

Abstract

We address the problem of interference using the Heisenberg picture and highlight some new aspects through the use of pre-selection, post-selection, weak measurements, and modular variables, We present a physical explanation for the different behaviors of a single particle when the distant slit is open or closed: instead of having a quantum wave that passes through all slits, we have a localized particle with non-local interactions with the other slit(s). We introduce a Gedankenexperiment to measure this non-local exchange. While the Heisenberg picture and the Schrodinger pictures are equivalent formulations of quantum mechanics, nevertheless, the results discussed here support a new approach which has led to new insights, new intuitions, new experiments, and even the possibility of new devices that were missed from the old perspective.