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Dirac open-quantum-system dynamics: Formulations and simulations

Author(s): Cabrera, Renan; Campos, Andre G.; Bondar, Denys I.; Rabitz, Herschel A.

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Abstract: 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.
Publication Date: 14-Nov-2016
Citation: Cabrera, Renan, Campos, Andre G., Bondar, Denys I., Rabitz, Herschel A. (2016). Dirac open-quantum-system dynamics: Formulations and simulations. PHYSICAL REVIEW A, 94 (10.1103/PhysRevA.94.052111
DOI: doi:10.1103/PhysRevA.94.052111
ISSN: 2469-9926
EISSN: 2469-9934
Pages: 052111-1 - 052111-17
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW A
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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