2016/09/30 by I. A. Luchnikov, S. N. Filippov
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.95.022113
published as Phys. Rev. A 95, 022113 (2017) · 9 pages, 7 figures, published version
arxiv created 2017/02/12 · arxiv updated 2017/02/14
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 τ-1 and the system-probe interaction strength γ we derive analytical evolution equations in the stroboscopic limit τ→ 0 and γ2 τ= \rm const, which can be considered as a deviation from the Zeno subspace dynamics on a longer timescale T ∼ (γ2 τ)-1 ≫ γ-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 ∼ (γ2 τ)-1, which is illustrated by a number of examples.