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Phys. Rev. A 77, 032112 (2008) [4 pages]

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

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J. Echanobe1,*, A. del Campo2,†, and J. G. Muga2,‡
1Departamento de Electricidad y Electrónica, UPV-EHU, Apartado 644, 48080 Bilbao, Spain
2Departamento de Química-Física, UPV-EHU, Apartado 644, 48080 Bilbao, Spain

Received 5 December 2007; published 25 March 2008

Repeated measurements of a quantum particle to check its presence in a region of space was proposed long ago [ G. R. Allcock Ann. Phys. 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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.032112
DOI:
10.1103/PhysRevA.77.032112
PACS:
03.65.Xp, 03.65.Ta, 06.30.Ft

*javi@we.lc.ehu.es

adolfo.delcampo@ehu.es

jg.muga@ehu.es