The Landau–Zener (LZ) model describes a two-level quantum system that undergoes an avoided crossing. In the adiabatic limit, the transition probability vanishes. An auxiliary control field HCD can be reverse-engineered so that the full Hamiltonian H₀+HCD reproduces adiabaticity for all parameter values. Our aim is to construct a single control field H₁ that drives an ensemble of LZ-type Hamiltonians with a distribution of energy gaps. H₁ works best statistically, minimizing the average transition probability. We restrict our attention to a special class of H₁ controls, motivated by HCD. We found a systematic trade-off between instantaneous adiabaticity and the final transition probability. Certain limiting cases with a linear sweep can be treated analytically; one of them being the LZ system with Dirac δ(t) function. Comprehensive and systematic numerical simulations support and extend the analytic results.
- 9926834832501891
- Counterdiabatic driving for random-gap Landau-Zener transitions
- Georgios TheologouMikkel F AndersenSandro Wimberger
- Dodd-Walls Centre for Photonic and Quantum Technologies; Physics
- arXiv.org
- Cornell University
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- Copyright © 2026 The Author(s). This preprint was first posted on arXiv (arXiv.org). This version in OUR Archive is an open access original manuscript before peer review distributed under the terms of the Creative Commons Attribution 4.0 International License (http://www.creativecommons.org/licenses/by/4.0/), which permits unrestricted use, sharing, adaptation, distribution and reproduction in any medium or format, provided that the original work is properly attributed to the creator(s) and the source, a link to the Creative Commons license is provided, and any changes made are indicated.
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