Shortcuts to adiabaticity: suppression of pair production in driven Dirac dynamics

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Date

2015-12-21

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Citation of Original Publication

Sebastian Deffner, Shortcuts to adiabaticity: suppression of pair production in driven Dirac dynamics, 2016 New J. Phys. 18 021005, 10.1088/1367-2630/18/1/012001

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This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law

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Abstract

Achieving effectively adiabatic dynamics in finite time is a ubiquitous goal in virtually all areas of modern physics. So-called shortcuts to adiabaticity refer to a set of methods and techniques that allow us to produce in a short time the same final state that would result from an adiabatic, infinitely slow process. In this paper we generalize one of these methods—the fast-forward technique—to driven Dirac dynamics. As our main result we find that shortcuts to adiabaticity for the $(1+1)$-dimensional Dirac equation are facilitated by a combination of both scalar and pseudoscalar potentials. Our findings are illustrated for two analytically solvable examples, namely charged particles driven in spatially homogeneous and linear vector fields.