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Analytic Solutions to Coherent Control of the Dirac Equation

2017/05/31 by Andre G. Campos, Renan Cabrera, Herschel A. Rabitz +1 · 1 citation
Physics and Astronomy · Mathematics · #quant-ph #math.OC

paper · pdf · doi:10.1103/physrevlett.119.173203

published as Phys. Rev. Lett. 119, 173203 (2017)

arxiv created 2017/10/10 · arxiv updated 2017/11/01

Abstract

A simple framework for Dirac spinors is developed that parametrizes admissible quantum dynamics and also analytically constructs electromagnetic fields, obeying Maxwell's equations, which yield a desired evolution. In particular, we show how to achieve dispersionless rotation and translation of wave packets. Additionally, this formalism can handle control interactions beyond electromagnetic. This work reveals unexpected flexibility of the Dirac equation for control applications, which may open new prospects for quantum technologies.

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