Carlos Alexandre Brasil, Leonardo Andreta de Castro, Reginaldo de Jesus Napolitano
We consider the problem of a finite-time measurement using the Lindblad equation to find analytical results, valid for weak system-environment coupling, obtained for a two-level system in contact with a measurer (Markovian interaction) and a thermal bath (non-Markovian interaction). Analysing the behavior of the coherences we obtained an expression for the maximal duration of the measurement which coincides with the case of no system-environment interaction. The validity of the expression is confirmed by the behavior of the coherences in the case of strong system-environment coupling, found numerically, showing that the environmental noise contributes to a faster measurement.
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http://arxiv.org/abs/1109.4613
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