Two-particle time-domain interferometry in the Fractional Quantum Hall Effect regime.

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Two-particle time-domain interferometry demonstrates significant quantum coherence in propagating e/5 and e/3 fractional quantum Hall anyons, challenging previous observations in Mach-Zehnder setups.

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The paper studies whether fractional quantum Hall effect anyons maintain quantum coherence while propagating along extended (continuum) edge states, addressing a prior discrepancy where interference was not observed in Mach-Zehnder interferometers. Using an electronic beam-splitter, the authors perform two-particle time-domain interference by varying the time delay between photo-created electron-hole pairs and measuring cross-correlated noise sensitive to the two-particle Hanbury Brown Twiss phase, observing strong quasi-particle interference with visibilities up to 53% for e/5 and 60% for e/3 anyons. A key caveat acknowledged in the setup is that this interferometric evidence concerns a specific time-domain two-particle protocol rather than the Mach-Zehnder geometry where the absence of interference was reported. This paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract

Abstract As with like particles in ordinary vacuum, quasi-particles are elementary excitations of the ground state of condensed matter quantum phases. Demonstrating that they keep quantum coherence while propagating is a fundamental issue and an important challenge for their manipulation for quantum information tasks. This is particularly the case for the quasi-particles called anyons of the Fractional Quantum Hall Effect (FQHE), a quantum phase displayed by two-dimensional electronic conductors in high magnetic fields. These fractionally charged quasi-particles obey anyonic statistics intermediate between fermionic and bosonic. Their quantum coherence has been observed by their transmission through the discrete localized states of electronic Fabry-Pérot interferometers [1-5]. Surprisingly, no quantum interference of anyons was observed in electronic Mach-Zehnder interferometers [6-8] for which the quasi-particle transmission occurs via propagating states forming a continuum of states. Here we address this puzzle by demonstrating that FQHE anyons do keep a finite quantum coherence while propagating along extended states by using a different kind of interferometry, namely two-particle time-domain interference [9] using an electronic beam-splitter. By varying the time delay between photo-created electron-hole pairs and measuring cross-correlated noise sensitive to the two-particle Hanbury Brown Twiss (HBT) phase [9], we observe strong quasi-particle interference. Visibilities as high as 53% and 60% are observed for e/5 and e/3 charged anyons propagating on the FQHE chiral edges modes. Our results give a positive message for the challenge of performing controlled quantum coherent braiding of anyons and call for a better understanding of the absence of interference in Mach-Zehnder interferometers.
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Two-particle time-domain interferometry in the Fractional Quantum Hall Effect regime. | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Two-particle time-domain interferometry in the Fractional Quantum Hall Effect regime. Imen Taktak, Maelle Kapfer, Jayshankar Nath, Preden Roulleau, and 5 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-1284070/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 04 Oct, 2022 Read the published version in Nature Communications → Version 1 posted You are reading this latest preprint version Abstract As with like particles in ordinary vacuum, quasi-particles are elementary excitations of the ground state of condensed matter quantum phases. Demonstrating that they keep quantum coherence while propagating is a fundamental issue and an important challenge for their manipulation for quantum information tasks. This is particularly the case for the quasi-particles called anyons of the Fractional Quantum Hall Effect (FQHE), a quantum phase displayed by two-dimensional electronic conductors in high magnetic fields. These fractionally charged quasi-particles obey anyonic statistics intermediate between fermionic and bosonic. Their quantum coherence has been observed by their transmission through the discrete localized states of electronic Fabry-Pérot interferometers [1-5]. Surprisingly, no quantum interference of anyons was observed in electronic Mach-Zehnder interferometers [6-8] for which the quasi-particle transmission occurs via propagating states forming a continuum of states. Here we address this puzzle by demonstrating that FQHE anyons do keep a finite quantum coherence while propagating along extended states by using a different kind of interferometry, namely two-particle time-domain interference [9] using an electronic beam-splitter. By varying the time delay between photo-created electron-hole pairs and measuring cross-correlated noise sensitive to the two-particle Hanbury Brown Twiss (HBT) phase [9], we observe strong quasi-particle interference. Visibilities as high as 53% and 60% are observed for e/5 and e/3 charged anyons propagating on the FQHE chiral edges modes. Our results give a positive message for the challenge of performing controlled quantum coherent braiding of anyons and call for a better understanding of the absence of interference in Mach-Zehnder interferometers. Full Text Additional Declarations There is NO Competing Interest. Cite Share Download PDF Status: Published Journal Publication published 04 Oct, 2022 Read the published version in Nature Communications → Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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