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Time rescaling of nonadiabatic transitions

by Takuya Hatomura

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Submission summary

Authors (as registered SciPost users): Takuya Hatomura
Submission information
Preprint Link: https://arxiv.org/abs/2208.14285v2  (pdf)
Date accepted: 2023-05-30
Date submitted: 2023-04-18 05:08
Submitted by: Hatomura, Takuya
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Quantum Physics
Approach: Theoretical

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.

Author comments upon resubmission

I thank referees for making time to review the manuscript and for giving high evaluations to it. In accordance with the second referee's suggestion, I improved the last paragraph of the introduction.

List of changes

The last paragraph of the introduction is amended.

Published as SciPost Phys. 15, 036 (2023)

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