Engineering adiabaticity at an avoided crossing with optimal control

T. Chasseur, L. S. Theis, Y. R. Sanders, D. J. Egger, F. K. Wilhelm

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We investigate ways to optimize adiabaticity and diabaticity in the Landau-Zener model with nonuniform sweeps. We show how diabaticity can be engineered with a pulse consisting of a linear sweep augmented by an oscillating term. We show that the oscillation leads to jumps in populations whose value can be accurately modeled using a model of multiple, photon-assisted Landau-Zener transitions, which generalizes work by Wubs [New J. Phys. 7, 218 (2005)]. We extend the study on diabaticity using methods derived from optimal control. We also show how to preserve adiabaticity with optimal pulses at limited time, finding a nonuniform quantum speed limit.

LanguageEnglish
Article number043421
Pages043421-1-043421-7
Number of pages7
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume91
Issue number4
DOIs
Publication statusPublished - 28 Apr 2015
Externally publishedYes

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optimal control
engineering
pulses
oscillations
photons

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Chasseur, T. ; Theis, L. S. ; Sanders, Y. R. ; Egger, D. J. ; Wilhelm, F. K. / Engineering adiabaticity at an avoided crossing with optimal control. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2015 ; Vol. 91, No. 4. pp. 043421-1-043421-7.
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Engineering adiabaticity at an avoided crossing with optimal control. / Chasseur, T.; Theis, L. S.; Sanders, Y. R.; Egger, D. J.; Wilhelm, F. K.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 91, No. 4, 043421, 28.04.2015, p. 043421-1-043421-7.

Research output: Contribution to journalArticleResearchpeer-review

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