English

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

Quantum Physics 2015-12-23 v2

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)(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.

Keywords

Cite

@article{arxiv.1511.00709,
  title  = {Shortcuts to adiabaticity: Suppression of pair production in driven Dirac dynamics},
  author = {Sebastian Deffner},
  journal= {arXiv preprint arXiv:1511.00709},
  year   = {2015}
}

Comments

14 pages, 2 figures; published version