Generalized Adiabatic Theorem and Strong-Coupling Limits
Quantum Physics
2019-06-20 v2 Mathematical Physics
math.MP
Abstract
We generalize Kato's adiabatic theorem to nonunitary dynamics with an isospectral generator. This enables us to unify two strong-coupling limits: one driven by fast oscillations under a Hamiltonian, and the other driven by strong damping under a Lindbladian. We discuss the case where both mechanisms are present and provide nonperturbative error bounds. We also analyze the links with the quantum Zeno effect and dynamics.
Keywords
Cite
@article{arxiv.1807.02036,
title = {Generalized Adiabatic Theorem and Strong-Coupling Limits},
author = {Daniel Burgarth and Paolo Facchi and Hiromichi Nakazato and Saverio Pascazio and Kazuya Yuasa},
journal= {arXiv preprint arXiv:1807.02036},
year = {2019}
}