Undetectable quantum transfer through a continuum

TL;DR

This paper demonstrates that a quantum particle can effectively teleport between two wells through a continuum reservoir, even under continuous observation, suggesting a novel quantum transfer mechanism.

Contribution

It introduces a theoretical model showing undetectable quantum transfer through a continuum reservoir, with potential experimental realizations in mesoscopic systems.

Findings

Quantum particle can reappear in a distant well without detection in the reservoir.

Transfer occurs even under continuous monitoring of the reservoir.

Potential experimental setups in mesoscopic systems are discussed.

Abstract

We demonstrate that a quantum particle, initially prepared in a quantum well, can propagate through a reservoir with a continuous spectrum and reappear in a distant well without being registered in the reservoir. It is shown that such a passage through the reservoir takes place even if the latter is {\em continuously} monitored. We discuss a possible experimental realization of such a teleportation phenomenon in mesoscopic systems.