Macroscopic Particle Transport in Dissipative Long-Range Bosonic Systems

Macroscopic Particle Transport in Dissipative Long-Range Bosonic Systems | 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 Macroscopic Particle Transport in Dissipative Long-Range Bosonic Systems Hongchao Li, Cheng Shang, Tomotaka Kuwahara, Tan Van Vu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6660091/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 21 Mar, 2026 Read the published version in Nature Communications → Version 1 posted You are reading this latest preprint version Abstract The inevitable loss of particles in quantum many-body systems provides a more general and experimentally realistic perspective on particle transport. In this work, we determine the maximal speed of macroscopic particle transport in dissipative bosonic systems featuring both long-range hopping and long-range interactions. By developing a generalized optimal transport theory for open quantum systems, we rigorously establish the relationship between the minimum transport time and the source-target distance, and investigate the maximal transportable distance of bosons. We demonstrate that optimal transport exhibits a fundamental distinction depending on whether the system experiences one-body loss or multi-body loss. Moreover, we present the minimal transport time and the maximal transport distance for systems with both gain and loss. We observe that even an arbitrarily small gain rate enables transport over long distances if the lattice gas is dilute. Importantly, we generally reveal that the emergence of decoherence-free subspaces facilitates the long-distance and perfect transport process. Additionally, we derive an upper bound for the probability of transporting a given number of particles during a fixed period with one-body loss. Possible experimental protocols for observing our theoretical predictions are also discussed. Physical sciences/Physics/Quantum physics/Theoretical physics Physical sciences/Physics/Statistical physics, thermodynamics and nonlinear dynamics/Statistical physics Physical sciences/Physics/Quantum physics/Quantum mechanics Full Text Additional Declarations There is NO Competing Interest. Supplementary Files Supplement.pdf Supplemental Information for ``Macroscopic particle transport in dissipative long-range bosonic systems'' Cite Share Download PDF Status: Published Journal Publication published 21 Mar, 2026 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. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-6660091","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":461768052,"identity":"7e4f4df6-0cc8-4a32-b945-3c79e4fbde31","order_by":0,"name":"Hongchao Li","email":"data:image/png;base64,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","orcid":"","institution":"University of Tokyo","correspondingAuthor":true,"prefix":"","firstName":"Hongchao","middleName":"","lastName":"Li","suffix":""},{"id":461768053,"identity":"cd8b310b-107b-4216-829e-203075d00a18","order_by":1,"name":"Cheng Shang","email":"","orcid":"","institution":"RIKEN Center for Quantum Computing","correspondingAuthor":false,"prefix":"","firstName":"Cheng","middleName":"","lastName":"Shang","suffix":""},{"id":461768054,"identity":"ac1a8daa-fd29-47bf-9020-a74eef65d44f","order_by":2,"name":"Tomotaka Kuwahara","email":"","orcid":"https://orcid.org/0000-0002-1612-3940","institution":"RIKEN","correspondingAuthor":false,"prefix":"","firstName":"Tomotaka","middleName":"","lastName":"Kuwahara","suffix":""},{"id":461768055,"identity":"42791d87-1726-4abf-a969-f83594a7f2c6","order_by":3,"name":"Tan Van Vu","email":"","orcid":"https://orcid.org/0000-0001-8184-9433","institution":"Kyoto University","correspondingAuthor":false,"prefix":"","firstName":"Tan","middleName":"Van","lastName":"Vu","suffix":""}],"badges":[],"createdAt":"2025-05-14 04:05:22","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6660091/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6660091/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1038/s41467-026-70881-7","type":"published","date":"2026-03-21T04:00:00+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":109158084,"identity":"2d496035-4999-457d-8aad-5e2ddc0aa963","added_by":"auto","created_at":"2026-05-13 07:07:17","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":397550,"visible":true,"origin":"","legend":"Article File","description":"","filename":"main.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6660091/v1_covered_34c62f99-9b01-498e-b4b8-71ec774b8a2b.pdf"},{"id":83527814,"identity":"68b179aa-219a-4734-b614-e91b456f6a20","added_by":"auto","created_at":"2025-05-28 03:34:42","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":267752,"visible":true,"origin":"","legend":"Supplemental Information for ``Macroscopic particle transport in dissipative long-range bosonic systems\u0026#039;\u0026#039;","description":"","filename":"Supplement.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6660091/v1/cada146c6eb9a0f15f3874d5.pdf"}],"financialInterests":"There is \u003cb\u003eNO\u003c/b\u003e Competing Interest.","formattedTitle":"Macroscopic Particle Transport in Dissipative Long-Range Bosonic Systems","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"nature-portfolio","isNatureJournal":true,"hasQc":false,"allowDirectSubmit":false,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"","title":"Nature Portfolio","twitterHandle":"","acdcEnabled":false,"dfaEnabled":false,"editorialSystem":"ejp","reportingPortfolio":"","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-6660091/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6660091/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"The inevitable loss of particles in quantum many-body systems provides a more general and experimentally realistic perspective on particle transport. 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