Quantum Resonance viewed as Weak Measurement
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Quantum resonance, i.e., amplification in transition probability available under certain conditions, offers a powerful means for determining fundamental quantities in physics, including the time duration of the second adopted in the SI units and neutron’s electric dipole moment which is directly linked to CP violation. We revisit two of the typical examples, the Rabi resonance and the Ramsey resonance, and show that both of these represent the weak value amplification and that near the resonance points they share exactly the same behavior of transition probabilities except for the measurement strength whose difference leads to the known advantage of the Ramsey resonance in the sensitivity. Conversely, this suggests that the weak value may be measured, for instance, through the Ramsey resonance. In fact, we argue that previous measurements of neutron electric dipole moment have potentially determined the imaginary component of the weak value of the spin of neutrons with higher precision than the conventional weak value measurement via neutron beams by three orders of magnitude.
Joachim Kopp