Quantum interference experiments, modular variables and weak measurements
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.
Cite
@article{arxiv.0910.4227,
title = {Quantum interference experiments, modular variables and weak measurements},
author = {Jeff Tollaksen and Yakir Aharonov and Aharon Casher and Tirzah Kaufherr and Shmuel Nussinov},
journal= {arXiv preprint arXiv:0910.4227},
year = {2015}
}