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

TL;DR

This paper extends shortcuts to adiabaticity methods to driven Dirac systems, showing that combining scalar and pseudoscalar potentials enables rapid, adiabatic-like state evolution, demonstrated through solvable examples involving linear vector fields.

Contribution

The work generalizes the fast-forward technique to $(1+1)$-dimensional Dirac dynamics, revealing new conditions for effective shortcuts using combined scalar and pseudoscalar potentials.

Findings

Shortcuts to adiabaticity are achievable in Dirac systems with combined potentials.

Analytical solutions demonstrate rapid adiabatic-like evolution in specific driven scenarios.

Scalar and pseudoscalar potentials together facilitate effective state control.

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 to produce in a short time the same final state that would result from an adiabatic, infinitely slow process. In the present work we generalize one of these methods -- the fast-forward technique -- to driven Dirac dynamics. As a main result we find that shortcuts to adiababticity 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.