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.
Highlights
Strong coupling and adiabatic decoupling are effective tools towards quantum control strategies, whose primary objective is to preserve the coherence of quantum mechanical systems [1]
Instead of repeated projective measurements, one might consider the application of strong fields or strong damping to induce the quantum Zeno effect (QZE) and hinder part of the evolution
It is not possible to describe situations in which several mechanisms are present simultaneously. This point is important, because physical systems are often not “clean” enough to focus on only one type of quantum dynamics
Summary
Strong coupling and adiabatic decoupling are effective tools towards quantum control strategies, whose primary objective is to preserve the coherence of quantum mechanical systems [1] These control procedures are manifestations of the quantum Zeno effect (QZE) [2] and its extension, known as the quantum Zeno dynamics (QZD) [3]. We shall develop a suitable extension of Kato’s adiabatic theorem [8], by relaxing the condition of the unitarity of the evolution This extension allows us to unify and simplify the proof of the continuous QZE, and to describe the situation in which both field and dissipation are present at the same time. Since the physical mechanisms at the basis of QZD have been proven in a number of recent experiments [9,10,11,12,13,14,15], our results might be relevant in the light of possible future experimental implementations
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