Tunnelling necessitates negative Wigner function
Quantum Physics
2021-01-04 v1
Abstract
We consider in what sense quantum tunnelling is associated with non-classical probabilistic behaviour. We use the Wigner function quasi-probability description of quantum states. We give a definition of tunnelling that allows us to say whether in a given scenario there is tunnelling or not. We prove that this can only happen if either the Wigner function is negative and/or a certain measurement operator which we call the tunnelling rate operator has a negative Wigner function.
Cite
@article{arxiv.1607.01764,
title = {Tunnelling necessitates negative Wigner function},
author = {Yin Long Lin and Oscar C. O. Dahlsten},
journal= {arXiv preprint arXiv:1607.01764},
year = {2021}
}
Comments
18 pages, 5 figures