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By using the Redfield form of the master equation, we investigate thedecoherence times of a double quantum dot charge qubit (DQDCQ) in threedifferent cases, namely when it is coupled to (I) the piezoelectric couplingphonon bath (PCPB), (II) the deformation coupling phonon bath (DCPB), and (III)the Ohmic bath. It is found that our results for case (I) and (II) are in thesame magnitude with those obtained via the exact path integral methods, whilefor case (III), the decoherence time is in well agreement with the experimentalvalue.

Study of the decoherence of a double quantum dot charge qubit via the Redfield equation