{"id":"https://openalex.org/W7164903931","doi":"https://doi.org/10.48550/arxiv.2606.15067","title":"A Structure-preserving Adaptive-Rank Approach to the High-Dimensional Wigner-Poisson System","display_name":"A Structure-preserving Adaptive-Rank Approach to the High-Dimensional Wigner-Poisson System","publication_year":2026,"publication_date":"2026-06-13","ids":{"openalex":"https://openalex.org/W7164903931","doi":"https://doi.org/10.48550/arxiv.2606.15067"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.15067","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.15067","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.15067","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083347493","display_name":"Andrew Christlieb","orcid":"https://orcid.org/0000-0002-5395-5455"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christlieb, Andrew J.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056369309","display_name":"Sining Gong","orcid":"https://orcid.org/0000-0002-8049-2302"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gong, Sining","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138710523","display_name":"Jing-Mei Qiu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qiu, Jing-Mei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5080995552","display_name":"Nanyi Zheng","orcid":"https://orcid.org/0000-0001-8347-9536"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zheng, Nanyi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11965","display_name":"Quantum, superfluid, helium dynamics","score":0.5275999903678894,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11965","display_name":"Quantum, superfluid, helium dynamics","score":0.5275999903678894,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.13269999623298645,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.13210000097751617,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7038999795913696},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5174000263214111},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.504800021648407},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.48890000581741333},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.47999998927116394},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.46129998564720154},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.43059998750686646},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.42089998722076416},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.3919999897480011},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.3774999976158142}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7038999795913696},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5174000263214111},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.504800021648407},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.48890000581741333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4887000024318695},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.47999998927116394},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.46129998564720154},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.43059998750686646},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.42089998722076416},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4090999960899353},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3919999897480011},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3774999976158142},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.375},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.37130001187324524},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.35510000586509705},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.35089999437332153},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3504999876022339},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.3476000130176544},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.34439998865127563},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.3443000018596649},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.3425000011920929},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33709999918937683},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.321399986743927},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.319599986076355},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3149999976158142},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.301800012588501},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2915000021457672},{"id":"https://openalex.org/C2779844322","wikidata":"https://www.wikidata.org/wiki/Q2919140","display_name":"Tilt (camera)","level":2,"score":0.28760001063346863},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.28610000014305115},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.28450000286102295},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.28119999170303345},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.27149999141693115},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.2696000039577484},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.25519999861717224},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25429999828338623}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.15067","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.15067","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.15067","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.15067","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.6886090636253357}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0,51,142],"Wigner-Poisson":[1,45,148],"system":[2],"is":[3,54],"a":[4,31,66,83,90],"deterministic":[5],"phase-space":[6,157],"model":[7],"for":[8,40,65,103],"quantum":[9],"kinetic":[10],"electron":[11],"dynamics,":[12],"but":[13],"high-dimensional":[14],"simulations":[15,149],"are":[16],"limited":[17],"by":[18],"the":[19,25,60,119,130,138,155],"full":[20,156],"3D3V":[21,113,147],"phase":[22],"space":[23],"and":[24,71,86,89,97,106,112,123],"nonlocal":[26],"Wigner":[27],"potential.":[28],"We":[29,78],"develop":[30],"structure-preserving,":[32],"sampling-based":[33],"adaptive-rank":[34],"solver":[35],"in":[36,43,110],"hierarchical":[37],"Tucker":[38],"format":[39],"finite-$H$":[41],"regimes":[42],"which":[44],"solutions":[46],"exhibit":[47],"exploitable":[48],"low-rank":[49],"structure.":[50],"central":[52],"difficulty":[53],"that":[55,145],"adaptive":[56],"compression":[57],"can":[58,72,150],"destroy":[59],"Fourier-Hermitian":[61],"tensor":[62],"symmetry":[63],"required":[64],"real":[67],"inverse":[68,121],"velocity":[69],"transform":[70],"break":[73],"discrete":[74],"global":[75,91],"conservation":[76],"laws.":[77],"address":[79],"these":[80],"issues":[81],"with":[82,127],"Fourier-Hermitian-symmetry-aware":[84],"sampling":[85],"mapping":[87],"procedure":[88],"moment":[92],"correction":[93],"enforcing":[94],"mass,":[95],"momentum,":[96],"self-consistent":[98],"total":[99],"energy.":[100],"Numerical":[101],"tests":[102],"two-stream":[104],"instability":[105],"strong":[107],"Landau":[108],"damping":[109],"2D2V":[111],"show":[114],"roundoff-level":[115],"conservation,":[116],"preservation":[117],"of":[118,132],"real-valued":[120],"transform,":[122],"approximately":[124],"linear":[125],"scaling":[126],"respect":[128],"to":[129],"number":[131],"grid":[133],"points":[134],"per":[135],"coordinate":[136],"over":[137],"tested":[139],"rank":[140],"range.":[141],"results":[143],"demonstrate":[144],"long-time":[146],"be":[151],"performed":[152],"without":[153],"assembling":[154],"tensor.":[158]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-06-17T00:00:00"}
