Abstract

We present a theoretical study of the damping phenomenon in a device of coupled quantumdots, in the context of quantum computation. We derive the one-phonon contribution tothe damping rate, based on Fermi’s golden rule, for the case where the device lies in thesuper-Ohmic regime. The result is in agreement with that of Leggett et al derivedwithin the noninteracting blip approximation (NIBA). Moreover, we consider themulti-phonon contribution to damping according to Würger, and estimate the temperaturerange for the coupled dots to operate as a qubit device. A threshold temperatureT*, 18 K, is determined, above which the tunnelling time becomes longer than the dampingtime.

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