{"id":"https://openalex.org/W7225327737","doi":"https://doi.org/10.5281/zenodo.23969284","title":"Opened matter \u00b7 the boundary census The Weight Between and the Exit Line","display_name":"Opened matter \u00b7 the boundary census The Weight Between and the Exit Line","publication_year":2026,"publication_date":"2026-11-05","ids":{"openalex":"https://openalex.org/W7225327737","doi":"https://doi.org/10.5281/zenodo.23969284"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23969284","doi":"https://doi.org/10.5281/zenodo.23969284","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23969284","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23969284","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5151993434","display_name":"Jeromie Beasley","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Beasley, Jeromie","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0006-4645-5643","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5151993434"],"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.3637999892234802,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.3637999892234802,"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":0.25609999895095825,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.0794999971985817,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/non-hermitian-quantum-systems","display_name":"non-Hermitian quantum systems","score":0.753000020980835},{"id":"https://openalex.org/keywords/open-quantum-systems","display_name":"open quantum systems","score":0.6340000033378601},{"id":"https://openalex.org/keywords/correlation-matrix","display_name":"correlation matrix","score":0.6489999890327454},{"id":"https://openalex.org/keywords/su-schrieffer-heeger-model","display_name":"Su-Schrieffer-Heeger model","score":0.8169999718666077},{"id":"https://openalex.org/keywords/pt-symmetry","display_name":"PT symmetry","score":0.871999979019165},{"id":"https://openalex.org/keywords/petermann-factor","display_name":"Petermann factor","score":0.8500000238418579},{"id":"https://openalex.org/keywords/non-hermitian-skin-effect","display_name":"non-Hermitian skin effect","score":0.5759999752044678},{"id":"https://openalex.org/keywords/entanglement-entropy","display_name":"entanglement entropy","score":0.4399999976158142},{"id":"https://openalex.org/keywords/elliptic-functions","display_name":"elliptic functions","score":0.4620000123977661},{"id":"https://openalex.org/keywords/abelian-integrals","display_name":"Abelian integrals","score":0.3440000116825104}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6047000288963318},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5436000227928162},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5217000246047974},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.5166000127792358},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4925000071525574},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4174000024795532},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3889999985694885},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3644999861717224},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.32899999618530273},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.32829999923706055},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31150001287460327},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30720001459121704},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.27790001034736633},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.2712000012397766}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23969284","doi":"https://doi.org/10.5281/zenodo.23969284","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23969284","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23969285","doi":"https://doi.org/10.5281/zenodo.23969285","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23969285","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23969284","doi":"https://doi.org/10.5281/zenodo.23969284","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23969284","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2246717279","https://openalex.org/W87413486","https://openalex.org/W166047258","https://openalex.org/W3112507524","https://openalex.org/W2926172343","https://openalex.org/W7221616817","https://openalex.org/W7133330729","https://openalex.org/W4225998864","https://openalex.org/W3005753524","https://openalex.org/W2023420075"],"abstract_inverted_index":{"When":[0],"a":[1,8,17,85,99,129,139,146,298,305,314,347,368,417,434,449,463,481],"system":[2],"of":[3,30,53,70,237,336,382,457,501],"electrons":[4],"is":[5,61,79,106,134,361,410],"cut":[6,72,125],"into":[7],"region":[9],"and":[10,40,43,63,97,132,177,187,313,342,391,407,412,429,462,472,480,496,507],"the":[11,24,27,31,51,71,74,91,110,119,124,156,181,199,203,211,230,233,259,263,310,328,334,337,352,373,383,386,392,402,438,441,446,458,466,469,475,477,502,505,511],"rest,":[12],"its":[13,54,116,281,344,488],"correlation":[14,261],"matrix":[15],"has":[16],"cross":[18,185],"block,":[19],"X_A":[20,60],"=":[21,164,214,220,251,268,293,301],"C_AB":[22],"C_BA:":[23],"weight":[25,38,58,186],"between":[26],"two":[28,111,178],"sides":[29,69],"cut.":[32],"This":[33],"paper":[34,329,393,447],"proves":[35,330],"what":[36],"that":[37,145,227,331,343],"can":[39],"cannot":[41],"say,":[42],"then":[44],"studies":[45],"where":[46,104],"opened":[47,311],"(non-Hermitian)":[48],"matter":[49],"leaves":[50],"disk":[52,338],"occupation":[55],"chart.":[56],"The":[57,159,195,358],"between.":[59],"positive":[62,76],"never":[64],"larger":[65],"than":[66,173],"1/4.":[67],"Both":[68],"see":[73],"same":[75,182,374,403],"spectrum.":[77],"It":[78,88],"stable":[80],"under":[81],"small":[82],"changes,":[83],"with":[84,128,180,258,297,440,453,491],"certified":[86],"count.":[87],"sits":[89],"below":[90],"local":[92],"defect":[93],"C_A":[94,169],"\u2212":[95,167,218],"C_A\u00b2,":[96],"for":[98,385,499],"pure":[100],"Gaussian":[101,120],"(Slater)":[102],"state,":[103],"C":[105],"an":[107,287,320,454],"orthogonal":[108],"projector,":[109],"are":[112,510],"equal.":[113],"Four":[114],"times":[115],"trace":[117],"bounds":[118],"mutual":[121],"information":[122],"across":[123],"from":[126,226,304,433],"below,":[127],"sharp":[130],"constant,":[131],"there":[133],"no":[135,171],"upper":[136],"constant":[137],"without":[138,273],"spectral":[140],"margin.":[141],"Exact":[142],"examples":[143],"show":[144],"one-body":[147],"record":[148],"does":[149],"not":[150],"in":[151,192,243,355,437],"general":[152],"determine":[153],"correlations":[154],"outside":[155],"quasi-free":[157],"class.":[158],"signed":[160],"boundary":[161],"offset":[162],"\u03c4":[163],"log":[165],"det(I":[166],"C_A)/det":[168],"moves":[170],"faster":[172],"\u03c4\u0307\u00b2":[174],"\u2264":[175],"4gS,":[176],"preparations":[179],"census,":[183],"offset,":[184],"coupling":[188],"saturate":[189],"this":[190,325],"bound":[191],"opposite":[193],"directions.":[194,357],"exit":[196],"line.":[197],"On":[198],"PT-symmetric":[200],"Su\u2013Schrieffer\u2013Heeger":[201],"chain,":[202],"band-averaged":[204],"Petermann":[205,353],"factor":[206],"equals":[207],"2":[208],"exactly":[209,350],"on":[210,351,401],"line":[212,228],"E(0)E(\u03c0)":[213],"u\u00b2,":[215],"equivalently":[216],"(w\u00b2":[217],"v\u00b2)\u00b2":[219],"2u\u00b2(w\u00b2":[221],"+":[222,253,295],"v\u00b2).":[223],"Exits":[224],"predicted":[225],"before":[229],"run":[231],"match":[232],"measured":[234],"census":[235,369],"exits":[236],"finite":[238,365],"blocks":[239,366],"to":[240,372,376,487],"about":[241],"5e-8":[242],"these":[244],"runs.":[245],"A":[246],"linearly":[247],"weighted":[248],"operator,":[249],"T":[250],"\u00bd{X":[252],"\u00bd,":[254],"H},":[255],"commutes":[256],"entrywise":[257],"half-chain":[260],"block;":[262],"proof":[264],"uses":[265],"only":[266],"H(k)\u00b2":[267],"E(k)\u00b2I,":[269],"so":[270],"it":[271,332,395],"holds":[272],"Hermiticity.":[274],"At":[275],"200":[276],"sampled":[277],"gapped":[278],"parameter":[279],"points,":[280],"tested":[282],"low-index":[283],"edge":[284],"eigenvectors":[285],"exhibit":[286],"equally":[288],"spaced":[289],"entanglement":[290],"ladder":[291,384,460],"\u03b5_j":[292],"j\u0394":[294],"i\u03b8,":[296],"spacing":[299],"\u0394":[300],"2\u03c0K\u2032/K":[302],"taken":[303],"Hermitian":[306],"band":[307],"hidden":[308],"inside":[309],"one":[312],"shared":[315],"phase":[316,345,375],"\u03b8":[317],"given":[318],"by":[319],"elliptic":[321],"(Abel)":[322],"formula.":[323],"For":[324],"proposed":[326,459],"ladder,":[327],"crosses":[333],"rim":[335],"all":[339],"at":[340],"once,":[341],"reaches":[346],"quarter":[348],"turn":[349],"line,":[354],"both":[356],"dimer":[359],"limit":[360],"proved":[362],"exactly.":[363],"Plain":[364],"give":[367],"rotation":[370],"equal":[371],"within":[377],"7e-7.":[378],"An":[379],"analytic":[380],"derivation":[381],"coupled":[387],"chain":[388],"remains":[389],"open,":[390],"states":[394],"as":[396],"open.":[397],"Related":[398],"numerical":[399],"work":[400],"model":[404],"(Rottoli,":[405],"Fossati":[406],"Calabrese,":[408],"2024)":[409],"cited":[411],"compared.":[413],"Every":[414],"claim":[415],"carries":[416],"grade":[418,486],"(proved,":[419],"Lean-checked":[420],"algebraic":[421],"subclaim,":[422],"verified":[423],"numerically,":[424],"known":[425],"result,":[426],"or":[427],"open),":[428],"every":[430],"number":[431],"comes":[432],"script":[435],"included":[436],"archive,":[439],"reference-run":[442],"environment":[443],"recorded.":[444],"Files:":[445],"(PDF);":[448],"web":[450],"edition":[451],"(HTML)":[452],"interactive":[455],"view":[456],"model;":[461],"zip":[464],"holding":[465],"LaTeX":[467],"source,":[468],"Python":[470],"scripts":[471],"their":[473],"outputs,":[474],"figure,":[476],"Lean":[478,485],"proofs,":[479],"README":[482],"mapping":[483],"each":[484],"theorem.":[489],"Prepared":[490],"AI":[492],"assistance":[493],"(Claude,":[494],"Anthropic;":[495],"OpenAI":[497],"tools":[498],"parts":[500],"formal":[503],"development);":[504],"ideas":[506],"research":[508],"direction":[509],"author's.":[512]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-11-06T00:00:00"}