Engineering adiabaticity at an avoided crossing with optimal control
Quantum Physics
2015-05-06 v2
Abstract
We investigate ways to optimize adiabaticity and diabaticity in the Landau-Zener model with non-uniform 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 non-uniform quantum speed limit.
Keywords
Cite
@article{arxiv.1502.05175,
title = {Engineering adiabaticity at an avoided crossing with optimal control},
author = {T. Chasseur and L. S. Theis and Y. R. Sanders and D. J. Egger and F. K. Wilhelm},
journal= {arXiv preprint arXiv:1502.05175},
year = {2015}
}