Quantum backflow of a Dirac fermion on a ring

2022/01/30 by Paccoia, Valentin Daniel, Panella, Orlando, Roy, Pinaki
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2201.12916

Abstract

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.

Related

• Relativistic electron wave packets featuring persistent quantum backflow
• Remarks on Quantum Probability Backflow
• On the confinement of a quantum particle to a two-dimensional ring in systems described by the Dirac equation
• Repeated quantum backflow and overflow
• Quantum backflow in biased tight-binding systems