Quantum backflow of a Dirac fermion on a ring

• URL: http://arxiv.org/abs/2201.12916v2
• Date: Fri, 11 Aug 2023 08:55:33 GMT
• Title: Quantum backflow of a Dirac fermion on a ring
• Authors: Valentin Daniel Paccoia (1), Orlando Panella (2) and Pinaki Roy (3) ((1) Dipartimento di Fisica e Geologia, Universit\`a degli Studi di Perugia, (2) Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, (3) Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam.)
• Abstract summary: We study the quantum backflow problem of a relativistic charged Dirac fermion constrained to move on a ring of radius $R$. We compute the probability flux through a generic time interval to show emergence of quantum backflow.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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