SciPost Submission Page
Time rescaling of nonadiabatic transitions
by Takuya Hatomura
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Takuya Hatomura |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2208.14285v2 (pdf) |
| Date accepted: | May 30, 2023 |
| Date submitted: | April 18, 2023, 5:08 a.m. |
| Submitted by: | Takuya Hatomura |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| 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)