Inertial Counterdiabatic Driving

@misc{ferreirovelez2026inertial,
  title = {{Inertial Counterdiabatic Driving}},
  author = {Julián Ferreiro-Vélez and F. A. Cárdenas-López and F. Motzoi and Xi Chen},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.08235},
  eprint = {2610.08235},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.08235},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Inertial Counterdiabatic Driving
AU  - Julián Ferreiro-Vélez
AU  - F. A. Cárdenas-López
AU  - F. Motzoi
AU  - Xi Chen
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.08235
UR  - https://arxiv.org/abs/2610.08235
AB  - We introduce an inertial counterdiabatic (CD) protocol that reformulates shortcut-to-adiabaticity design as a moving-frame diagonalization problem. The method employs the Magnus expansion to construct a variational propagator generated by an accessible CD ansatz. In the new rotating frame, the controls are optimized to suppress the off-diagonal Hamiltonian terms, and the CD terms are defined to counteract the corresponding inertial contribution. The propagator generated with the Magnus expansion naturally exploits additional control directions generated through its nested commutator, while the sequential design of the propagator introduces temporal nonlocality into the optimization. We benchmark the method on a two-qubit system and on the one-dimensional quantum Ising chain, where it consistently outperforms variational CD protocols based on action minimization. The largest improvements are observed near gap-closing regions, demonstrating the advantage of combining temporal and algebraic nonlocality for suppressing diabatic excitations.
ER  -