Tunnelling necessitates negative Wigner function

In quantum tunnelling, a particle tunnels through a barrier that it classically could not surmount.

Physical Review Letters (2016)

Y. Lin, O. Dahlsten

LQ placeholderTunnelling necessitates negative Wigner function

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.

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