Complementarity and uncertainty relations for matter wave interferometry
Quantum Physics
2009-04-27 v3
Abstract
We establish a rigorous quantitative connection between (i) the interferometric duality relation for which-way information and fringe visibility and (ii) Heisenberg's uncertainty relation for position and modular momentum. We apply our theory to atom interferometry, wherein spontaneously emitted photons provide which way information, and unambiguously resolve the challenge posed by the metamaterial `perfect lens' to complementarity and to the Heisenberg-Bohr interpretation of the Heisenberg microscope thought experiment.
Keywords
Cite
@article{arxiv.0709.0613,
title = {Complementarity and uncertainty relations for matter wave interferometry},
author = {K. -P. Marzlin and B. C. Sanders and P. L. Knight},
journal= {arXiv preprint arXiv:0709.0613},
year = {2009}
}
Comments
nine pages, five figures