Quantum measurements of time
Quantum Physics
2020-03-19 v3 Quantum Gases
Statistical Mechanics
Abstract
We propose a time-of-arrival operator in quantum mechanics by conditioning on a quantum clock. This allows us to bypass some of the problems of previous proposals, and to obtain a Hermitian time of arrival operator whose probability distribution arises from the Born rule and which has a clear physical interpretation. The same procedure can be employed to measure the "time at which some event happens" for arbitrary events (and not just specifically for the arrival time of a particle).
Cite
@article{arxiv.1810.12869,
title = {Quantum measurements of time},
author = {Lorenzo Maccone and Krzysztof Sacha},
journal= {arXiv preprint arXiv:1810.12869},
year = {2020}
}
Comments
4 pages+appendices (=supplemental material). Version accepted for publication on Phys. Rev. Lett