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Engineering adiabaticity at an avoided crossing with optimal control

T. Chasseur, L. S. Theis, Y. R. Sanders, D. J. Egger, and F. K. Wilhelm
Phys. Rev. A 91, 043421 – Published 28 April 2015

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 et al. [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.

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  • Received 24 February 2015

DOI:https://doi.org/10.1103/PhysRevA.91.043421

©2015 American Physical Society

Authors & Affiliations

T. Chasseur1, L. S. Theis1, Y. R. Sanders2, D. J. Egger1, and F. K. Wilhelm1,2

  • 1Universität des Saarlandes, Saarbrücken, Germany
  • 2IQC and Dept. of Physics and Astronomy, University of Waterloo, 200 University Avenue W, Waterloo, Ontario N2L 3G1, Canada

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Vol. 91, Iss. 4 — April 2015

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