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Bulletin of the American Physical Society

Perfect Zeno effect through imperfect measurements at a finite frequency

David Layden, Eduardo Martín-Martínez, Achim Kempf

Published Mar 3, 2015• 0 citations
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arXiv:quant-ph/0301068•Physical Review A•Jul 22, 2003•9 citations
A neutron-spin experimental test of the quantum Zeno effect (QZE) is discussed from a practical point of view, where the nonideal efficiency of the magnetic mirrors, used for filtering the spin state, is taken into account. In the idealized case, the number N of (ideal) mirrors can be indefinitely increased, yielding an increasingly better QZE. In contrast, in a practical situation with imperfect mirrors, there is an optimal number of mirrors, Nopt,{N}_{\mathrm{opt}},Nopt​, at which the QZE becomes maximum: more frequent measurements would deteriorate the performance. However, a quantitative analysis shows that a good experimental test of the QZE is still feasible. These conclusions are of general validity: in a realistic experiment, the presence of losses and imperfections leads to an optimal frequency Nopt,{N}_{\mathrm{opt}},Nopt​, which is in general finite. One should not increase N beyond Nopt.{N}_{\mathrm{opt}}.Nopt​. A convenient formula for Nopt,{N}_{\mathrm{opt}},Nopt​, valid in a broad framework, is derived as a function of the parameters characterizing the experimental setup.