Quantum mechanical which-way experiment with an internal degree of freedom

For a particle travelling through an interferometer, the trade-off between the available which-way information and the interference visibility provides a lucid manifestation of the quantum mechanical wave–particle duality. Here we analyse this relation for a particle possessing an internal degree of...

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Main Authors: Banaszek, K, Horodecki, P, Karpiński, M, Radzewicz, C
Format: Journal article
Language:English
Published: Springer Nature 2013
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author Banaszek, K
Horodecki, P
Karpiński, M
Radzewicz, C
author_facet Banaszek, K
Horodecki, P
Karpiński, M
Radzewicz, C
author_sort Banaszek, K
collection OXFORD
description For a particle travelling through an interferometer, the trade-off between the available which-way information and the interference visibility provides a lucid manifestation of the quantum mechanical wave–particle duality. Here we analyse this relation for a particle possessing an internal degree of freedom such as spin. We quantify the trade-off with a general inequality that paints an unexpectedly intricate picture of wave–particle duality when internal states are involved. Strikingly, in some instances which-way information becomes erased by introducing classical uncertainty in the internal degree of freedom. Furthermore, even imperfect interference visibility measured for a suitable set of spin preparations can be sufficient to infer absence of which-way information. General results are illustrated with a proof-of-principle single-photon experiment.
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spelling oxford-uuid:22747962-21d2-4a37-8f87-2c134ff4ca262022-03-26T11:38:55ZQuantum mechanical which-way experiment with an internal degree of freedomJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:22747962-21d2-4a37-8f87-2c134ff4ca26EnglishSymplectic Elements at OxfordSpringer Nature2013Banaszek, KHorodecki, PKarpiński, MRadzewicz, CFor a particle travelling through an interferometer, the trade-off between the available which-way information and the interference visibility provides a lucid manifestation of the quantum mechanical wave–particle duality. Here we analyse this relation for a particle possessing an internal degree of freedom such as spin. We quantify the trade-off with a general inequality that paints an unexpectedly intricate picture of wave–particle duality when internal states are involved. Strikingly, in some instances which-way information becomes erased by introducing classical uncertainty in the internal degree of freedom. Furthermore, even imperfect interference visibility measured for a suitable set of spin preparations can be sufficient to infer absence of which-way information. General results are illustrated with a proof-of-principle single-photon experiment.
spellingShingle Banaszek, K
Horodecki, P
Karpiński, M
Radzewicz, C
Quantum mechanical which-way experiment with an internal degree of freedom
title Quantum mechanical which-way experiment with an internal degree of freedom
title_full Quantum mechanical which-way experiment with an internal degree of freedom
title_fullStr Quantum mechanical which-way experiment with an internal degree of freedom
title_full_unstemmed Quantum mechanical which-way experiment with an internal degree of freedom
title_short Quantum mechanical which-way experiment with an internal degree of freedom
title_sort quantum mechanical which way experiment with an internal degree of freedom
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