I have some questions regarding the quantum Zeno effect (QZE). It is known that this effect occurs, when a system interacts strongly to its environment (one says that there are done measurements extremely frequently). In the opposite case, if no interaction with environment takes place, the system may evolve coherent due to no environment interactions that can decohere quantum states.
i) The conditions, where QZE applies, is a very small time uncertainty $\Delta t$, implying that the energy uncertainty $\Delta E$ is large in this case. That means that the system gets into a quantum state superposition of different energy states. Will there be a coherence (high energy uncertainty) despite very intense interaction with the environment? Will there be more quantum fluctuations in case of frequent interaction than in not so frequent interaction (the system behaves less classical)?
ii) Electron-positron pairs can be created for a very short time interval. Can QZE slow this process down so much that electron-positron-pairs live a lot longer than without frequent measurements?
iii) Frequent interactions will make a strong entanglement with the environment. Is it possible to transfer information from the environment to the system or back easier in the case of frequent measurements?