Strong and weak single particle nonlocality induced by time-dependent boundary conditions

Abstract

We investigate the issue of single particle nonlocality in a quantum system subjected to timedependent boundary conditions. We first prove that contrary to earlier claims, there is no strong nonlocality: a quantum state localized at the center of a well with infinitely high moving walls is not modified by the wall's motion. We then show the existence of a weak form of nonlocality: when a quantum state is extended over the well, the wall's motion induces a current density all over the box instantaneously. We indicate how this current density can in principle be measured by performing weak measurements of the particle's momentum.

Efficient Quantum Measurement Engines

“…This costs no work in principle because the wavefunction's value is 0. Further, it has been shown that motion of the wall through a region of zero wavefunction makes no change to the rest [18].…”