Abstract
We study theoretically the process of a weak measurement of charge states in a double quantum dotperformed bycoupling to a quantumpointcontact. Wefocus on the interplayof the measurementprocess withphonon-induced dephasing of delocalized superpositions of electron states and compare the time scales relevantforthedynamicsoftheopensystemandforthemeasurementprocess: thedecoherencerate,thelocalizationrateof the state conditioned on the measurement outcome and the time scale on which information on the systemstateisgainedintheprocessofthemeasurement.PACS:73.63.Kv,03.65.Ta,63.20.kd
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