Characterizing four-body indistinguishability via symmetries

We show how to characterize the indistinguishability of up to four identical, bosonic or fermionic particles, which are rendered partially distinguishable through their internal degrees of freedom prepared in mixed states. This is accomplished via their counting statistics when subjected to a highly...

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Main Authors: Alexander M Minke, Andreas Buchleitner, Christoph Dittel
Format: Article
Language:English
Published: IOP Publishing 2021-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac0fb1
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author Alexander M Minke
Andreas Buchleitner
Christoph Dittel
author_facet Alexander M Minke
Andreas Buchleitner
Christoph Dittel
author_sort Alexander M Minke
collection DOAJ
description We show how to characterize the indistinguishability of up to four identical, bosonic or fermionic particles, which are rendered partially distinguishable through their internal degrees of freedom prepared in mixed states. This is accomplished via their counting statistics when subjected to a highly symmetric unitary acting upon their external (i.e. dynamical) degrees of freedom. For pure internal states, we further extract information on the particles’ collective phases, which ultimately allows for an experimental reconstruction of the full many-particle density operator up to complex conjugation.
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spelling doaj.art-f626d36424dd43c890b558a9cc4d6d052023-08-08T15:41:16ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123707302810.1088/1367-2630/ac0fb1Characterizing four-body indistinguishability via symmetriesAlexander M Minke0Andreas Buchleitner1Christoph Dittel2https://orcid.org/0000-0002-5373-5196Physikalisches Institut, Albert-Ludwigs-Universität Freiburg , Hermann-Herder-Str. 3, 79104 Freiburg, GermanyPhysikalisches Institut, Albert-Ludwigs-Universität Freiburg , Hermann-Herder-Str. 3, 79104 Freiburg, Germany; EUCOR Centre for Quantum Science and Quantum Computing, Albert-Ludwigs-Universität Freiburg , Hermann-Herder-Str. 3, 79104 Freiburg, GermanyPhysikalisches Institut, Albert-Ludwigs-Universität Freiburg , Hermann-Herder-Str. 3, 79104 Freiburg, Germany; EUCOR Centre for Quantum Science and Quantum Computing, Albert-Ludwigs-Universität Freiburg , Hermann-Herder-Str. 3, 79104 Freiburg, GermanyWe show how to characterize the indistinguishability of up to four identical, bosonic or fermionic particles, which are rendered partially distinguishable through their internal degrees of freedom prepared in mixed states. This is accomplished via their counting statistics when subjected to a highly symmetric unitary acting upon their external (i.e. dynamical) degrees of freedom. For pure internal states, we further extract information on the particles’ collective phases, which ultimately allows for an experimental reconstruction of the full many-particle density operator up to complex conjugation.https://doi.org/10.1088/1367-2630/ac0fb1indistinguishabilitymany-body interferenceidentical particlesdensity operator reconstruction
spellingShingle Alexander M Minke
Andreas Buchleitner
Christoph Dittel
Characterizing four-body indistinguishability via symmetries
New Journal of Physics
indistinguishability
many-body interference
identical particles
density operator reconstruction
title Characterizing four-body indistinguishability via symmetries
title_full Characterizing four-body indistinguishability via symmetries
title_fullStr Characterizing four-body indistinguishability via symmetries
title_full_unstemmed Characterizing four-body indistinguishability via symmetries
title_short Characterizing four-body indistinguishability via symmetries
title_sort characterizing four body indistinguishability via symmetries
topic indistinguishability
many-body interference
identical particles
density operator reconstruction
url https://doi.org/10.1088/1367-2630/ac0fb1
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AT andreasbuchleitner characterizingfourbodyindistinguishabilityviasymmetries
AT christophdittel characterizingfourbodyindistinguishabilityviasymmetries