Mark Thomas, Alessandro Romito
We study the effect of decoherence on a weak value measurement in a paradigm system consisting of a double quantum dot continuously measured by a quantum point contact. Fluctuations of the parameters controlling the dot state induce decoherence. We find that, for measurements longer than the decoherence time, weak values are always reduced within the range of the eigenvalues of the measured observable. For measurements at shorter timescales, the measured weak value strongly depends on the interplay between the decoherence dynamics of the system and the detector backaction. In particular, depending on the strength of the decoherence and the post-selected state, a stronger detector backaction might lead to an enhancement of weak values.
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http://arxiv.org/abs/1209.2037
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