Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-03-30
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
10 pages, 4 figures
Scientific paper
We study the dynamics of the measurement processes in a spin dependent quantum dot system, where an unsharp and a sharp detection scenario is introduced. The back-action of the unsharp detection related to the spin observables, proposed in terms of the continuous quantum measurement theory, is observed via the von Neumann measurement (sharp detection) of charges. We show that the continuous observation may accelerate the transitions between the spin states (quantum anti-Zeno effect), in contradiction with rapidly repeated observations, when it slows down the transitions. Application of the two detector system, detecting the charge and spin observables, shows a partial quantum Zeno effect in the charge current. Due to the formalism, we can calculate the fluctuation spectrum $S(\omega)$ of the charge detector, containing the Rabi frequency damping, driven by the growing unsharp detection strength $\gamma$. The Fano factor, $F$ was also calculated as the function of $\gamma$, and shows a decreasing character, when the quantum anti-Zeno effect occurs in the charge current.
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