{ "meta": { "api_type": "NWO Projects API", "version": "1.0.2", "licence": { "name": "CC0 1.0 Universal", "url": "https://creativecommons.org/publicdomain/zero/1.0", "description": "To the extent possible under law, all copyright and related or neighbouring rights have been waived worldwide to the data made available through this API." }, "documentation": "https://doi.org/10.5281/zenodo.14918287", "release_date": "2025-08-20T00:00:00", "funder": "https://doi.org/10.13039/501100003246", "ror_id": "https://ror.org/04jsz6e67", "date": "2026-11-05T00:00:00", "count": 1, "per_page": 100, "pages": 1, "page": 1 }, "projects": [ { "project_id": "680-50-1118", "title": "Mathematical structure of anyons in planar quantum spin systems", "funding_scheme_id": 171, "funding_scheme": "Rubicon bètawetenschappen 2011 N", "department": "Exacte en Natuurwetenschappen", "sub_department": "Natuurkunde", "start_date": "2012-08-01T00:00:00", "end_date": "2015-01-16T00:00:00", "reporting_year": 2011, "summary_nl": "This application is in mathematical physics. Our research is partly motivated by potential applications in quantum computation. Technically, we propose to study quantum spin systems on infinite two-dimensional lattices. In particular, we plan to develop a framework for describing \"charges\" or \"excitations\" in such models. Our main goal is to find - in this quantum spin setting - a suitable analogue of the Doplicher-Haag-Roberts theory of superselection sectors in (algebraic) quantum field theory. This amounts to finding a framework in which single excitations of the spin model can be described by certain linear maps of the observables. The study of such maps should reveal all relevant properties of the excitations, such as what happens if we interchange two excitations (\"braiding\") or when two excitations are brought close together (\"fusion\"). Our focus is primarily on models with anyonic excitations, for example Kitaev?s quantum double model or the Levin-Wen string-net model. ", "summary_en": "This application is in mathematical physics. Our research is partly motivated by potential applications in quantum computation. Technically, we propose to study quantum spin systems on infinite two-dimensional lattices. In particular, we plan to develop a framework for describing \"charges\" or \"excitations\" in such models. Our main goal is to find - in this quantum spin setting - a suitable analogue of the Doplicher-Haag-Roberts theory of superselection sectors in (algebraic) quantum field theory. This amounts to finding a framework in which single excitations of the spin model can be described by certain linear maps of the observables. The study of such maps should reveal all relevant properties of the excitations, such as what happens if we interchange two excitations (\"braiding\") or when two excitations are brought close together (\"fusion\"). Our focus is primarily on models with anyonic excitations, for example Kitaev?s quantum double model or the Levin-Wen string-net model. ", "project_members": [ { "role": "Main Applicant", "member_id": 203100, "last_name": "Naaijkens", "degree_pre_nominal": "dr.", "initials": "P.", "first_name": "Pieter", "organisation": "Universität Hannover||Institut für Theoretische Physik", "organisation_id": 61759, "ror": "-", "active": true }, { "role": "Project leader", "member_id": 203100, "last_name": "Naaijkens", "degree_pre_nominal": "dr.", "initials": "P.", "first_name": "Pieter", "organisation": "Universität Hannover||Institut für Theoretische Physik", "organisation_id": 61759, "ror": "-", "active": true }, { "role": "Researcher", "member_id": 203100, "last_name": "Naaijkens", "degree_pre_nominal": "dr.", "initials": "P.", "first_name": "Pieter", "organisation": "Universität Hannover||Institut für Theoretische Physik", "organisation_id": 61759, "ror": "-", "active": true } ], "products": [ { "title": "On enriching the Levin?-Wen model with symmetry", "year": 2015, "edition": "48", "start": 12, "type": "Wetenschappelijk artikel", "journal_title": "J. Phys. A: Math. Theor.", "authors": [ { "last_name": "Young", "initials": "A.", "first_name": "Amanda", "role": "Auteur", "index_number": 9 }, { "last_name": "Chang", "initials": "L.", "first_name": "Liang", "role": "Auteur", "index_number": 1 }, { "last_name": "Cheng", "initials": "M.", "first_name": "Meng", "role": "Auteur", "index_number": 2 }, { "last_name": "Naaijkens", "initials": "P.", "first_name": "Pieter", "role": "Auteur", "index_number": 7 }, { "last_name": "Movassagh", "initials": "R.", "first_name": "Ramis", "role": "Auteur", "index_number": 6 }, { "last_name": "Cui", "initials": "S.X.", "first_name": "Shawn", "role": "Auteur", "index_number": 3 }, { "last_name": "Jin", "initials": "W.", "first_name": "Wei", "role": "Auteur", "index_number": 5 }, { "last_name": "Hu", "initials": "Y.", "first_name": "Yuting", "role": "Auteur", "index_number": 4 }, { "last_name": "Wang", "initials": "Z.", "first_name": "Zhenghan", "role": "Auteur", "index_number": 8 } ] }, { "title": "Haag duality for Kitaev’s quantum double model for abelian groups", "year": 2015, "edition": "27", "start": 1, "end": 43, "type": "Wetenschappelijk artikel", "url_open_access": "http://arxiv.org/abs/1406.1084", "journal_title": "Reviews in Mathematical Physics", "authors": [ { "last_name": "Fiedler", "initials": "L", "first_name": "Leander", "role": "Auteur" }, { "last_name": "Naaijkens", "initials": "P", "first_name": "Pieter", "role": "Auteur" } ] }, { "title": "Kitaev's Quantum Double Model from a Local Quantum Physics Point of View", "year": 2015, "start": 365, "end": 395, "type": "Productbijdrage", "city": "Switzerland", "publisher": "Springer International Publishing", "authors": [ { "last_name": "Naaijkens", "initials": "P.", "first_name": "Pieter", "role": "Auteur", "index_number": 1 }, { "last_name": "Brunetti", "initials": "R.", "role": "Editor", "index_number": 1 }, { "last_name": "Dappiaggi", "initials": "C.", "role": "Editor", "index_number": 2 }, { "last_name": "Fredenhagen", "initials": "K.", "role": "Editor", "index_number": 3 }, { "last_name": "Yngvason", "initials": "J.", "role": "Editor", "index_number": 4 } ] }, { "title": "Quantum spin systems on infinite lattices", "year": 2013, "type": "Overige Output", "url_open_access": "http://arxiv.org/abs/1311.2717", "authors": [ { "last_name": "Naaijkens", "initials": "P.", "first_name": "Pieter", "role": "Maker", "index_number": 1 } ] }, { "title": "Lieb–Robinson Bounds, Arveson Spectrum and Haag–Ruelle Scattering Theory for Gapped Quantum Spin Systems", "year": 2016, "edition": "17", "start": 1737, "end": 1791, "type": "Wetenschappelijk artikel", "url_open_access": "http://arxiv.org/abs/1412.2970", "journal_title": "Annales Henri Poincaré", "authors": [ { "last_name": "Naaijkens", "initials": "P", "first_name": "Pieter", "role": "Auteur" }, { "last_name": "Bachmann", "initials": "S", "first_name": "Sven", "role": "Auteur" }, { "last_name": "Dybalski", "initials": "W", "first_name": "Wojciech", "role": "Auteur" } ] }, { "title": "Kosaki-Longo index and classification of charges in 2D quantum spin models", "year": 2013, "edition": "54", "start": 81901, "type": "Wetenschappelijk artikel", "journal_title": "Journal of Mathematical Physics", "authors": [ { "last_name": "Naaijkens", "initials": "P", "role": "Auteur", "index_number": 1 } ] } ] } ] }