English

On the experiment-friendly formulation of quantum backflow

Quantum Physics 2021-09-08 v2

Abstract

In its standard formulation, quantum backflow is a classically impossible phenomenon in which a free quantum particle in a positive-momentum state exhibits a negative probability current. Recently, Miller et al. [Quantum 5, 379 (2021)] have put forward a new, "experiment-friendly" formulation of quantum backflow that aims at extending the notion of quantum backflow to situations in which the particle's state may have both positive and negative momenta. Here, we investigate how the experiment-friendly formulation of quantum backflow compares to the standard one when applied to a free particle in a positive-momentum state. We show that the two formulations are not always compatible. We further identify a parametric regime in which the two formulations appear to be in qualitative agreement with one another.

Keywords

Cite

@article{arxiv.2103.06728,
  title  = {On the experiment-friendly formulation of quantum backflow},
  author = {Maximilien Barbier and Arseni Goussev},
  journal= {arXiv preprint arXiv:2103.06728},
  year   = {2021}
}

Comments

9 pages, 2 figures, added references

R2 v1 2026-06-24T00:00:02.223Z