Quantum diffusion of a relativistic particle in a time-dependent random potential

Abstract

We present a rigorous study of quantum diffusion of a relativistic particle subjected to a time-dependent random potential with $\delta$ correlation in time. We find that in the asymptotic time limit the particle wave packet spreads ballistically in contrast with the nonrelativistic case, which in the same situation exhibits superballistic diffusion. The relativistic suppression of wave packet diffusion is discussed in connection with statistical conservation laws that follow from relativistic dynamics.

7 pages, 2 figures

References in corpus (2)

• Chiral tunneling and the Klein paradox in graphene
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals

Cited by in corpus (1)

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