Abstract
The influence of Gaussian noise on weak values is studied. A general expression of weak values is derived, which is applicable to both Markovian and non-Markovian environment. Weak values under random telegraph noise and the colored noise of type 1/fa are investigated in particular, and the properties of weak values under those non-Gaussian noises are discussed. Furthermore, the threshold time for weak values keeping its characteristic to exceed spectrum range is found, which can reach a large value by the memory effect of non-Markovian environment.
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