Quantifying the presence of a neutron in the paths of an interferometer

It is commonly assumed that no accurate experimental information can be obtained on the path taken by a particle when quantum interference between the paths is observed. However, recent progress in the measurement and control of quantum systems may provide the missing information by circumventing th...

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Main Authors: Hartmut Lemmel, Niels Geerits, Armin Danner, Holger F. Hofmann, Stephan Sponar
Format: Article
Language:English
Published: American Physical Society 2022-04-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.023075
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author Hartmut Lemmel
Niels Geerits
Armin Danner
Holger F. Hofmann
Stephan Sponar
author_facet Hartmut Lemmel
Niels Geerits
Armin Danner
Holger F. Hofmann
Stephan Sponar
author_sort Hartmut Lemmel
collection DOAJ
description It is commonly assumed that no accurate experimental information can be obtained on the path taken by a particle when quantum interference between the paths is observed. However, recent progress in the measurement and control of quantum systems may provide the missing information by circumventing the conventional uncertainty limits. Here, we experimentally investigate the possibility that an individual neutron moving through a two-path interferometer may actually be physically distributed between the two paths. For this purpose, it is important to distinguish between the probability of finding the complete particle in one of the paths and the distribution of an individual particle over both paths. We accomplish this distinction by applying a magnetic field in only one of the paths and observing the exact value of its effect on the neutron spin in the two output ports of the interferometer. The results show that individual particles experience a specific fraction of the magnetic field applied in one of the paths, indicating that a fraction or even a multiple of the particle was present in the path before the interference of the two paths was registered. The obtained path presence equals the weak value of the path projector and is not a statistical average but applies to every individual neutron, verified by the recently introduced method of feedback compensation.
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spelling doaj.art-a61f9314bb9b485a80b439d99e5ac4fa2024-04-12T17:20:21ZengAmerican Physical SocietyPhysical Review Research2643-15642022-04-014202307510.1103/PhysRevResearch.4.023075Quantifying the presence of a neutron in the paths of an interferometerHartmut LemmelNiels GeeritsArmin DannerHolger F. HofmannStephan SponarIt is commonly assumed that no accurate experimental information can be obtained on the path taken by a particle when quantum interference between the paths is observed. However, recent progress in the measurement and control of quantum systems may provide the missing information by circumventing the conventional uncertainty limits. Here, we experimentally investigate the possibility that an individual neutron moving through a two-path interferometer may actually be physically distributed between the two paths. For this purpose, it is important to distinguish between the probability of finding the complete particle in one of the paths and the distribution of an individual particle over both paths. We accomplish this distinction by applying a magnetic field in only one of the paths and observing the exact value of its effect on the neutron spin in the two output ports of the interferometer. The results show that individual particles experience a specific fraction of the magnetic field applied in one of the paths, indicating that a fraction or even a multiple of the particle was present in the path before the interference of the two paths was registered. The obtained path presence equals the weak value of the path projector and is not a statistical average but applies to every individual neutron, verified by the recently introduced method of feedback compensation.http://doi.org/10.1103/PhysRevResearch.4.023075
spellingShingle Hartmut Lemmel
Niels Geerits
Armin Danner
Holger F. Hofmann
Stephan Sponar
Quantifying the presence of a neutron in the paths of an interferometer
Physical Review Research
title Quantifying the presence of a neutron in the paths of an interferometer
title_full Quantifying the presence of a neutron in the paths of an interferometer
title_fullStr Quantifying the presence of a neutron in the paths of an interferometer
title_full_unstemmed Quantifying the presence of a neutron in the paths of an interferometer
title_short Quantifying the presence of a neutron in the paths of an interferometer
title_sort quantifying the presence of a neutron in the paths of an interferometer
url http://doi.org/10.1103/PhysRevResearch.4.023075
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