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Time rescaling of nonadiabatic transitions

Quantum Physics 2023-07-19 v2

Abstract

Applying time-dependent driving is a basic way of quantum control. Driven systems show various dynamics as its time scale is changed due to the different amount of nonadiabatic transitions. The fast-forward scaling theory enables us to observe slow (or fast) time-scale dynamics during moderate time by applying additional driving. Here we discuss its application to nonadiabatic transitions. We derive mathematical expression of additional driving and also find a formula for calculating it. Moreover, we point out relation between the fast-forward scaling theory for nonadiabatic transitions and shortcuts to adiabaticity by counterdiabatic driving.

Keywords

Cite

@article{arxiv.2208.14285,
  title  = {Time rescaling of nonadiabatic transitions},
  author = {Takuya Hatomura},
  journal= {arXiv preprint arXiv:2208.14285},
  year   = {2023}
}

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