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.

Generalized Adiabatic Theorem and Strong-Coupling Limits

Facchi, Paolo;Pascazio, Saverio;Yuasa, Kazuya
2019

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/233971
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