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Quantum physics and quantum information
October 11, 2016 11:00, Moscow
 


Stroboscopic limit of sequential measurements

I.A. Luchnikova, S. N. Filippovab

a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
b Insitute of Physics and Technology, Institution of Russian Academy of Sciences, Moscow

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Abstract: We consider a quantum system dynamics caused by successive selective and non-selective measurements of the probe coupled to the system. For the finite measurement rate $\tau^{-1}$ and the system-probe interaction strength $\gamma$ we derive analytical evolution equations in the stroboscopic limit $\tau \rightarrow 0$ and $\gamma^2 \tau = const$, which can be considered as a deviation from the Zeno subspace dynamics on a longer timescale $T \sim (\gamma^2 \tau)^{-1} \gg \gamma^{-1}$. Non-linear quantum dynamics is analyzed for selective stroboscopic projective measurements of an arbitrary rank. Non-selective measurements are shown to induce the semigroup dynamics of the system-probe aggregate. Both non-linear and decoherent effects become significant at the timescale $T \sim (\gamma^2 \tau)^{-1}$, which is illustrated by a number of examples.

References
  1. I. A. Luchnikov, S. N. Filippov., Stroboscopic limit of sequential measurements arXiv:1609.05501 [quant-ph]


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