Backflow in relativistic wave equations

I Bialynicki-Birula, Z Bialynicka-Birula… - Journal of Physics A …, 2022 - iopscience.iop.org
We show that, contrary to the statements made by many authors, the backflow is not a
nonclassical effect. The backflow is a characteristic feature of solutions of the wave …

Unbounded quantum backflow in two dimensions

M Barbier, A Goussev, SCL Srivastava - Physical Review A, 2023 - APS
Quantum backflow refers to the counterintuitive fact that the probability can flow in the
direction opposite to the momentum of a quantum particle. This phenomenon has been seen …

Quantum advantages for transportation tasks-projectiles, rockets and quantum backflow

D Trillo, TP Le, M Navascués - npj Quantum Information, 2023 - nature.com
Consider a scenario where a quantum particle is initially prepared in some bounded region
of space and left to propagate freely. After some time, we verify if the particle has reached …

Comment on 'Backflow in relativistic wave equations'

AJ Bracken, GF Melloy - Journal of Physics A: Mathematical and …, 2023 - iopscience.iop.org
Criticisms and a claim in the recent paper Backflow in relativistic wave equations by
Bialynicki–Birula et al 2022 J. Phys. A: Math. Theor. 55 255702 are addressed, and it is …

Different routes to the classical limit of backflow

SV Mousavi, S Miret-Artés - Journal of Physics A: Mathematical …, 2022 - iopscience.iop.org
Decoherence is a well established process for the emergence of classical mechanics in
open quantum systems. However, it can have two different origins or mechanisms …

[HTML][HTML] Quantum backflow for a massless Dirac fermion on a ring

L Di Bari, VD Paccoia, O Panella, P Roy - Physics Letters A, 2023 - Elsevier
We study the quantum backflow problem for a massless charged Dirac fermion constrained
to move on a ring of radius R. Using the relativistic current operator for states of definite …

Quantum backflow for a free-particle hermite wavepacket

P Strange - Physica Scripta, 2024 - iopscience.iop.org
Quantum backflow is the unexpected effect that wavepackets consisting of only positive
momentum components can apparently move in the negative direction. This is usually …

Quantum supremacy in mechanical tasks: projectiles, rockets and quantum backflow

D Trillo, TP Le, M Navascues - arXiv preprint arXiv:2209.00725, 2022 - arxiv.org
We consider a scenario where a non-relativistic one-dimensional quantum particle is
prepared in some bounded region of space and left to propagate freely. After a certain …

Quantum backflow current in a ring: Optimal bounds and fractality

A Goussev, F Quinque, J Joo, A Burbanks - Physical Review A, 2024 - APS
The probability density of a quantum particle moving freely within a circular ring can exhibit
local flow patterns inconsistent with its angular momentum, a phenomenon known as …

Quantum backflow across a black hole horizon in a toy model approach

D Biswas, S Ghosh - Physical Review D, 2021 - APS
Quantum backflow, discovered quite a few years back, is a generic purely quantum
phenomenon, in which the probability of finding a particle in a direction is nonzero (and …