Generalized Adiabatic Theorem and Strong-Coupling Limits

TL;DR

This paper extends the adiabatic theorem to nonunitary dynamics with isospectral generators, unifying strong-coupling limits and analyzing their interplay with the quantum Zeno effect, with implications for quantum control.

Contribution

It generalizes Kato's adiabatic theorem to nonunitary cases and unifies two strong-coupling limits, providing nonperturbative error bounds and insights into quantum Zeno dynamics.

Findings

Unified strong-coupling limits under a common framework

Derived nonperturbative error bounds for the generalized theorem

Analyzed the relationship with quantum Zeno effect

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.