Krylov Complexity in Non-Inertial Quantum Systems

@misc{ma2026krylov,
  title = {{Krylov Complexity in Non-Inertial Quantum Systems}},
  author = {Ming-Qi Ma and Shi-Cheng Liu and Lei-Hua Liu and Hai-Qing Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.29770},
  eprint = {2606.29770},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.29770},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Krylov Complexity in Non-Inertial Quantum Systems
AU  - Ming-Qi Ma
AU  - Shi-Cheng Liu
AU  - Lei-Hua Liu
AU  - Hai-Qing Zhang
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2606.29770
UR  - https://arxiv.org/abs/2606.29770
AB  - This study formulates observer-dependent Krylov spreading for non-inertial quantum systems driven by linear Bogoliubov transformations. Starting with the closed single Rindler-pair SU(1,1) sector, we show that its Lanczos basis is identical to the Rindler pair-number basis. As a result, the Krylov spread complexity reduces exactly to the mean number of correlated Rindler pairs, C_k=|β_k|^2. Within this framework, we demonstrate that Krylov spreading dynamics are governed by the competition between the detuning parameter and the coupling constant, naturally dividing the dynamics into three distinct regimes. Notably, Krylov complexity becomes localized in the detuning-dominated regime. By extending this to a multimode, strictly quadratic Bogoliubov Hamiltonian, we find that inequivalent Rindler wave-packet pairs violate the C_k=|β_k|^2 correspondence, thereby highlighting the single-pair SU(1,1) model as an exactly solvable, observer-adapted benchmark. In such multimode scenarios, the mean pair-number eigenstates no longer dictate Krylov complexity. Overall, our work provides a new perspective for analyzing Krylov complexity in non-inertial quantum systems.
ER  -