The Case of the Disappearing (and Re-Appearing) Particle

Abstract A novel prediction is derived by the Two-State-Vector-Formalism (TSVF) for a particle superposed over three boxes. Under appropriate pre- and post-selections, and with tunneling enabled between two of the boxes, it is possible to derive not only one, but three predictions for three differen...

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Main Authors: Yakir Aharonov, Eliahu Cohen, Ariel Landau, Avshalom C. Elitzur
Format: Article
Language:English
Published: Nature Portfolio 2017-04-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-017-00274-w
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author Yakir Aharonov
Eliahu Cohen
Ariel Landau
Avshalom C. Elitzur
author_facet Yakir Aharonov
Eliahu Cohen
Ariel Landau
Avshalom C. Elitzur
author_sort Yakir Aharonov
collection DOAJ
description Abstract A novel prediction is derived by the Two-State-Vector-Formalism (TSVF) for a particle superposed over three boxes. Under appropriate pre- and post-selections, and with tunneling enabled between two of the boxes, it is possible to derive not only one, but three predictions for three different times within the intermediate interval. These predictions are moreover contradictory. The particle (when looked for using a projective measurement) seems to disappear from the first box where it would have been previously found with certainty, appearing instead within the third box, to which no tunneling is possible, and later re-appearing within the second. It turns out that local measurement (i.e. opening one of the boxes) fails to indicate the particle’s presence, but subtler measurements performed on the two boxes together reveal the particle’s nonlocal modular momentum spatially separated from its mass. Another advance of this setting is that, unlike other predictions of the TSVF that rely on weak and/or counterfactual measurements, the present one uses actual projective measurements. This outcome is then corroborated by adding weak measurements and the Aharonov-Bohm effect. The results strengthen the recently suggested time-symmetric Heisenberg ontology based on nonlocal deterministic operators. They can be also tested using the newly developed quantum router.
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spelling doaj.art-dd6a04c3d88e4bf1ba42ef1c12d9f7062022-12-21T21:20:40ZengNature PortfolioScientific Reports2045-23222017-04-01711910.1038/s41598-017-00274-wThe Case of the Disappearing (and Re-Appearing) ParticleYakir Aharonov0Eliahu Cohen1Ariel Landau2Avshalom C. Elitzur3School of Physics and Astronomy, Tel Aviv UniversityIyar, The Israeli Institute for Advanced ResearchSchool of Physics and Astronomy, Tel Aviv UniversityIyar, The Israeli Institute for Advanced ResearchAbstract A novel prediction is derived by the Two-State-Vector-Formalism (TSVF) for a particle superposed over three boxes. Under appropriate pre- and post-selections, and with tunneling enabled between two of the boxes, it is possible to derive not only one, but three predictions for three different times within the intermediate interval. These predictions are moreover contradictory. The particle (when looked for using a projective measurement) seems to disappear from the first box where it would have been previously found with certainty, appearing instead within the third box, to which no tunneling is possible, and later re-appearing within the second. It turns out that local measurement (i.e. opening one of the boxes) fails to indicate the particle’s presence, but subtler measurements performed on the two boxes together reveal the particle’s nonlocal modular momentum spatially separated from its mass. Another advance of this setting is that, unlike other predictions of the TSVF that rely on weak and/or counterfactual measurements, the present one uses actual projective measurements. This outcome is then corroborated by adding weak measurements and the Aharonov-Bohm effect. The results strengthen the recently suggested time-symmetric Heisenberg ontology based on nonlocal deterministic operators. They can be also tested using the newly developed quantum router.https://doi.org/10.1038/s41598-017-00274-w
spellingShingle Yakir Aharonov
Eliahu Cohen
Ariel Landau
Avshalom C. Elitzur
The Case of the Disappearing (and Re-Appearing) Particle
Scientific Reports
title The Case of the Disappearing (and Re-Appearing) Particle
title_full The Case of the Disappearing (and Re-Appearing) Particle
title_fullStr The Case of the Disappearing (and Re-Appearing) Particle
title_full_unstemmed The Case of the Disappearing (and Re-Appearing) Particle
title_short The Case of the Disappearing (and Re-Appearing) Particle
title_sort case of the disappearing and re appearing particle
url https://doi.org/10.1038/s41598-017-00274-w
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