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1. Let's say that my ionization probability (if I were to be 100% in the negative parity state), as well as my ion detection probability are 100%. Let's say that after 10 ms I send my lasers to try to ionize the system (I have 10% chance of doing so), and I don't detect an ion. I wait 10 ms more, and I try again. What will the probability of ionizing be after 20 ms? If I were to not try to ionize after 10 ms, the probability would be simply 20%, but as I tried after 10 ms, did that measurement act as a projection operator, thus reseting my system back to being 100% in the positive parity state, hence the probability after 20 ms would still be only 10%?

2. My questions is the same as the first one, but this time let's assume that the ionization probability is smaller than 100%. In this case, my measurement is not a fully quantum projection operator. What would be the probability of seeing an ion after 20 ms, if I don't see one after 10 ms?

Thank you!