TY - JOUR
T1 - On the experiment-friendly formulation of quantum backflow
AU - Barbier, Maximilien
AU - Goussev, Arseni
PY - 2021/9/7
Y1 - 2021/9/7
N2 - 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.
AB - 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.
UR - https://quantum-journal.org/papers/q-2021-09-07-536/
U2 - 10.22331/q-2021-09-07-536
DO - 10.22331/q-2021-09-07-536
M3 - Article
VL - 5
SP - 536
EP - 544
JO - Quantum
JF - Quantum
ER -