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Repeated measurements in quantum mechanics can freeze (the quantum Zenoeffect) or enhance (the quantum anti-Zeno effect) the time-evolution of aquantum system. In this paper, we present a general treatment of the quantumZeno and anti-Zeno effects for arbitrary driven open quantum systems, assumingonly that the system-environment coupling is weak. In particular, we obtain ageneral expression for the effective decay rate of a two-level system subjectedto arbitrary driving fields as well as periodic measurements. We demonstratethat the driving fields change the decay rate, and hence the quantum Zeno andanti-Zeno behavior, both qualitatively and quantitatively. We also extend ourresults to systems consisting of more than one two-level system, as well as atwo-level system strongly coupled to an environment of harmonic oscillators, tofurther illustrate the non-trivial effect of the driving fields on the quantumZeno and anti-Zeno effects.

The quantum Zeno and anti-Zeno effects with driving fields in the weak and strong coupling regimes