English

How fast and robust is the quantum adiabatic passage?

Quantum Physics 2013-07-19 v2

Abstract

We study the assisted adiabatic passage, and equivalently the transitionless quantum driving, as a quantum brachistochrone trajectory. The optimal Hamiltonian for given constraints is constructed from the quantum brachistochrone equation. We discuss how the adiabatic passage is realized as the solution of the equation. The formulation of the quantum brachistochrone is based on the principle of least action. We utilize it to discuss the stability of the adiabatic passage.

Keywords

Cite

@article{arxiv.1305.4724,
  title  = {How fast and robust is the quantum adiabatic passage?},
  author = {Kazutaka Takahashi},
  journal= {arXiv preprint arXiv:1305.4724},
  year   = {2013}
}

Comments

16 pages, 4 figures; minor changes for v2

R2 v1 2026-06-22T00:19:35.918Z