Generalized Adiabatic Theorem and Strong-Coupling Limits

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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• Adiabatic Elimination and Sub-space Evolution of Open Quantum Systems
• Disorder-free localization with Stark gauge protection
• Eternal Adiabaticity
• Unification of Random Dynamical Decoupling and the Quantum Zeno Effect
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• Ultrastrong coupling, nonselective measurement and quantum Zeno dynamics
• Kick and fix: the roots of quantum control
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• Recovering optimal precision in quantum sensing with time domain imperfections
• Robust quantum many-body scars in lattice gauge theories
• Protecting Hilbert space fragmentation through quantum Zeno dynamics
• Stability and convergence of dynamical decoupling with finite amplitude control
• Unconventional mechanism of virtual-state population through dissipation