Disclosing hidden information in the quantum Zeno effect: Pulsed measurement of the quantum time of arrival

Details Disclosing hidden information in the quantum Zeno effect: Pulsed measurement of the quantum time of arrival Disclosing hidden information in the quantum Zeno effect: Pulsed measurement of the quantum time of arrival

2007-12-05

arxiv.org/abs/0712.0670v2

Phys. Rev. A 77, 032112 (2008)

Physics

Quantum Physics

5 pages, 4 figures, minor changes

Scientific paper

10.1103/PhysRevA.77.032112

Repeated measurements of a quantum particle to check its presence in a region of space was proposed long ago [G. R. Allcock, Ann. Phys. {\bf 53}, 286 (1969)] as a natural way to determine the distribution of times of arrival at the orthogonal subspace, but the method was discarded because of the quantum Zeno effect: in the limit of very frequent measurements the wave function is reflected and remains in the original subspace. We show that by normalizing the small bits of arriving (removed) norm, an ideal time distribution emerges in correspondence with a classical local-kinetic-energy distribution.

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