Analytic Solutions to Coherent Control of the Dirac Equation
Quantum Physics
2017-11-01 v3 Optimization and Control
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.
Keywords
Cite
@article{arxiv.1705.02001,
title = {Analytic Solutions to Coherent Control of the Dirac Equation},
author = {Andre G. Campos and Renan Cabrera and Herschel A. Rabitz and Denys I. Bondar},
journal= {arXiv preprint arXiv:1705.02001},
year = {2017}
}