Quantum backflow of a Dirac fermion on a ring

• DOI: 10.48550/arxiv.2201.12916
• Publication Date: 2022-01-01
• Authors: Paccoia, Valentin...; Panella, Orlando; Roy, Pinaki
• Keywords: High Energy Physics - Theory; Quantum Physics; High Energy Physics - Theory (hep-th); 0103 physical sciences; FOS: Physical sciences; Quantum Physics (quant-ph); 01 natural sciences

We study the quantum backflow problem of a relativistic charged Dirac fermion constrained to move on a ring of radius $R$. Using the relativistic current operator we compute the probability flux through a generic time interval to show emergence of quantum backflow. We also discuss the limiting case when the particle moves along a line.<br/>11 pages, 4 figures. Added a detailed discussion of the continuity equation and of the radial and azimuthal components of the probability current<br/>