{"id":"https://openalex.org/W7223085673","doi":"https://doi.org/10.48550/arxiv.2610.27062","title":"Boundary One-Point Functions in the Open XXZ Spin Chain with Generic Integrable Boundaries","display_name":"Boundary One-Point Functions in the Open XXZ Spin Chain with Generic Integrable Boundaries","publication_year":2026,"publication_date":"2026-10-19","ids":{"openalex":"https://openalex.org/W7223085673","doi":"https://doi.org/10.48550/arxiv.2610.27062"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.27062","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.27062","pdf_url":"https://arxiv.org/pdf/2610.27062","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,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.27062","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083712339","display_name":"Till Bargheer","orcid":"https://orcid.org/0000-0002-3590-0899","observed_orcids":["https://orcid.org/0000-0002-3590-0899"]},"institutions":[{"id":"https://openalex.org/I2801876189","display_name":"Deutsches Elektronen-Synchrotron DESY","ror":"https://ror.org/01js2sh04","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2801876189"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bargheer, Till","raw_affiliation_strings":["Deutsches Elektronen-Synchrotron DESY , Notkestr. 85 , 22607 Hamburg , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Deutsches Elektronen-Synchrotron DESY , Notkestr. 85 , 22607 Hamburg , Germany","institution_ids":["https://openalex.org/I2801876189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159206939","display_name":"Tengis Batmunkh","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]},{"id":"https://openalex.org/I2801876189","display_name":"Deutsches Elektronen-Synchrotron DESY","ror":"https://ror.org/01js2sh04","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2801876189"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Batmunkh, Tengis","raw_affiliation_strings":["Deutsches Elektronen-Synchrotron DESY , Notkestr. 85 , 22607 Hamburg , Germany","Kirchhoff-Institut f\u00fcr Physik , Universit\u00e4t Heidelberg , Im Neuenheimer Feld 227 , 69120 Heidelberg , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Deutsches Elektronen-Synchrotron DESY , Notkestr. 85 , 22607 Hamburg , Germany","institution_ids":["https://openalex.org/I2801876189"]},{"raw_affiliation_string":"Kirchhoff-Institut f\u00fcr Physik , Universit\u00e4t Heidelberg , Im Neuenheimer Feld 227 , 69120 Heidelberg , Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102720008","display_name":"Paul Ryan","orcid":"https://orcid.org/0000-0002-4761-9201","observed_orcids":["https://orcid.org/0000-0002-4761-9201"]},"institutions":[{"id":"https://openalex.org/I2801876189","display_name":"Deutsches Elektronen-Synchrotron DESY","ror":"https://ror.org/01js2sh04","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2801876189"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ryan, Paul","raw_affiliation_strings":["Deutsches Elektronen-Synchrotron DESY , Notkestr. 85 , 22607 Hamburg , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Deutsches Elektronen-Synchrotron DESY , Notkestr. 85 , 22607 Hamburg , Germany","institution_ids":["https://openalex.org/I2801876189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T11804","display_name":"Quantum many-body systems","score":0.9833999872207642,"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/T11804","display_name":"Quantum many-body systems","score":0.9833999872207642,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.009800000116229057,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11682","display_name":"Advanced Condensed Matter Physics","score":0.0013000000035390258,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/open-xxz-spin-chain","display_name":"open XXZ spin chain","score":0.9829999804496765},{"id":"https://openalex.org/keywords/integrable-boundary-conditions","display_name":"integrable boundary conditions","score":0.8849999904632568},{"id":"https://openalex.org/keywords/one-point-functions","display_name":"one-point functions","score":0.777999997138977},{"id":"https://openalex.org/keywords/form-factors","display_name":"form factors","score":0.8859999775886536},{"id":"https://openalex.org/keywords/determinant-expressions","display_name":"determinant expressions","score":0.6610000133514404},{"id":"https://openalex.org/keywords/finite-size-corrections","display_name":"finite-size corrections","score":0.4090000092983246},{"id":"https://openalex.org/keywords/integrable-systems","display_name":"integrable systems","score":0.503000020980835}],"concepts":[{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.7785999774932861},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6291999816894531},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6074000000953674},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.5515999794006348},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.546500027179718},{"id":"https://openalex.org/C177858542","wikidata":"https://www.wikidata.org/wiki/Q4476530","display_name":"Yang\u2013Baxter equation","level":3,"score":0.5358999967575073},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.5206999778747559},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5074999928474426},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.5026999711990356},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.47380000352859497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46369999647140503},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.45329999923706055},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.4253999888896942},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.4154999852180481},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.36899998784065247},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.36239999532699585},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3294999897480011},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.32899999618530273},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.3057999908924103},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2888000011444092},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.28189998865127563},{"id":"https://openalex.org/C148864181","wikidata":"https://www.wikidata.org/wiki/Q4949969","display_name":"Boundary problem","level":3,"score":0.2685999870300293},{"id":"https://openalex.org/C84229","wikidata":"https://www.wikidata.org/wiki/Q2116709","display_name":"Translational symmetry","level":2,"score":0.26829999685287476},{"id":"https://openalex.org/C159722891","wikidata":"https://www.wikidata.org/wiki/Q913323","display_name":"Separation of variables","level":3,"score":0.267300009727478},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25200000405311584},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.25130000710487366}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.27062","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.27062","pdf_url":"https://arxiv.org/pdf/2610.27062","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,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.27062","doi":"https://doi.org/10.48550/arxiv.2610.27062","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.27062","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,"listed_in":[],"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.27062","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.27062","pdf_url":"https://arxiv.org/pdf/2610.27062","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,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1400416564","display_name":"Feldtheorie l\u00f6sen mittels Integrabilit\u00e4t","funder_award_id":"460391856","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G432818845","display_name":null,"funder_award_id":"EXC2121","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7298742525","display_name":"EXC 2121: Quantum Universe","funder_award_id":"390833306","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320334759","display_name":"Deutsches Elektronen-Synchrotron","ror":"https://ror.org/01js2sh04"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223085673.pdf","grobid_xml":"https://content.openalex.org/works/W7223085673.grobid-xml"},"referenced_works_count":60,"referenced_works":["https://openalex.org/W561289754","https://openalex.org/W1544455068","https://openalex.org/W1627508268","https://openalex.org/W1683202355","https://openalex.org/W1817888371","https://openalex.org/W1975994572","https://openalex.org/W1978502438","https://openalex.org/W1982447619","https://openalex.org/W1982844698","https://openalex.org/W1984405398","https://openalex.org/W1994364995","https://openalex.org/W2018263219","https://openalex.org/W2018683156","https://openalex.org/W2023696970","https://openalex.org/W2026637372","https://openalex.org/W2035374502","https://openalex.org/W2038613635","https://openalex.org/W2062882579","https://openalex.org/W2071221451","https://openalex.org/W2072326829","https://openalex.org/W2085315909","https://openalex.org/W2092997736","https://openalex.org/W2116810217","https://openalex.org/W2118263110","https://openalex.org/W2141775972","https://openalex.org/W2151134771","https://openalex.org/W2249646228","https://openalex.org/W2467727594","https://openalex.org/W2741053308","https://openalex.org/W2786844922","https://openalex.org/W2786987596","https://openalex.org/W2796286839","https://openalex.org/W2799162825","https://openalex.org/W2806223987","https://openalex.org/W2912885843","https://openalex.org/W2925585602","https://openalex.org/W2951160218","https://openalex.org/W2957692935","https://openalex.org/W2963169409","https://openalex.org/W2965901608","https://openalex.org/W2982356049","https://openalex.org/W2998129919","https://openalex.org/W3021076407","https://openalex.org/W3025196871","https://openalex.org/W3100416972","https://openalex.org/W3119153585","https://openalex.org/W3126007867","https://openalex.org/W3138762346","https://openalex.org/W3147195934","https://openalex.org/W3163255149","https://openalex.org/W4221047936","https://openalex.org/W4221144658","https://openalex.org/W4292949513","https://openalex.org/W4308908685","https://openalex.org/W4382814525","https://openalex.org/W4388772379","https://openalex.org/W4398775716","https://openalex.org/W4406674330","https://openalex.org/W4417442436","https://openalex.org/W7204171385"],"related_works":["https://openalex.org/W2035374502","https://openalex.org/W4313701451","https://openalex.org/W1958363566","https://openalex.org/W4292949513","https://openalex.org/W4221144658","https://openalex.org/W4414523327","https://openalex.org/W2090317152","https://openalex.org/W3163255149","https://openalex.org/W2087143749","https://openalex.org/W2467727594"],"abstract_inverted_index":{"We":[0,58,138],"consider":[1],"the":[2,8,11,17,26,33,39,44,47,61,110,128,140],"problem":[3],"of":[4,49,64,103],"computing":[5],"observables":[6],"beyond":[7],"spectrum":[9,40],"in":[10,106,117],"open":[12],"XXZ":[13],"spin":[14,74],"chain":[15],"with":[16],"most":[18],"generic":[19,89],"integrable":[20],"boundary":[21,130],"conditions.":[22],"For":[23],"such":[24],"boundaries,":[25],"residual":[27],"u(1)":[28],"symmetry":[29],"is":[30,76],"broken":[31],"and":[32,55,82,88,112,132],"familiar":[34],"Baxter":[35],"TQ":[36],"equation":[37],"describing":[38],"becomes":[41],"inhomogeneous,":[42],"placing":[43],"model":[45],"outside":[46],"realm":[48],"existing":[50],"approaches":[51],"to":[52,79],"correlation":[53],"functions":[54,116],"form":[56,104],"factors.":[57],"show":[59],"that":[60],"Functional":[62],"Separation":[63],"Variables":[65],"method,":[66,93],"so":[67],"far":[68],"developed":[69],"mainly":[70],"for":[71,86,99],"rational,":[72],"(quasi-)periodic":[73],"chains,":[75],"largely":[77],"insensitive":[78],"these":[80],"modifications,":[81],"works":[83],"equally":[84],"well":[85],"diagonal":[87],"boundaries.":[90],"Using":[91],"this":[92],"we":[94],"compute":[95],"exact":[96],"determinant":[97],"expressions":[98],"a":[100],"prototypical":[101],"example":[102],"factors":[105],"open-boundary":[107],"systems,":[108],"namely":[109],"longitudinal":[111],"transverse":[113],"boundary-spin":[114],"one-point":[115],"arbitrary":[118],"Hamiltonian":[119],"eigenstates":[120],"at":[121],"finite":[122],"system":[123],"size.":[124],"No":[125],"constraint":[126],"relating":[127],"two":[129],"configurations":[131],"no":[133],"reference":[134],"state":[135],"are":[136],"required.":[137],"verify":[139],"resulting":[141],"formulae":[142],"against":[143],"direct":[144],"finite-volume":[145],"diagonalisation.":[146]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-22T00:00:00"}