Dirac open-quantum-system dynamics: Formulations and simulations

Renan Cabrera, Andre G. Campos, Denys I. Bondar, Herschel A. Rabitz

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


We present an open-system interaction formalism for the Dirac equation. Overcoming a complexity bottleneck of alternative formulations, our framework enables efficient numerical simulations (utilizing a typical desktop) of relativistic dynamics within the von Neumann density matrix and Wigner phase-space descriptions. Employing these instruments, we gain important insights into the effect of quantum dephasing for relativistic systems in many branches of physics. In particular, the conditions for robustness of Majorana spinors against dephasing are established. Using the Klein paradox and tunneling as examples, we show that quantum dephasing does not suppress negative energy particle generation. Hence, the Klein dynamics is also robust to dephasing.

Original languageEnglish (US)
Article number052111
JournalPhysical Review A
Issue number5
StatePublished - Nov 14 2016

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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