{"id":"https://openalex.org/W7204874839","doi":"https://doi.org/10.48550/arxiv.2608.29766","title":"Localized orbitals and tunnel couplings from general confinement potentials in gate-defined quantum-dot arrays","display_name":"Localized orbitals and tunnel couplings from general confinement potentials in gate-defined quantum-dot arrays","publication_year":2026,"publication_date":"2026-08-30","ids":{"openalex":"https://openalex.org/W7204874839","doi":"https://doi.org/10.48550/arxiv.2608.29766"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.29766","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29766","pdf_url":"https://arxiv.org/pdf/2608.29766","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/2608.29766","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015394082","display_name":"Bohdan Khromets","orcid":"https://orcid.org/0000-0002-1112-9374","observed_orcids":["https://orcid.org/0000-0002-1112-9374"]},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Khromets, Bohdan","raw_affiliation_strings":["Institute for Quantum Computing and Department of Physics , University of Waterloo , 200 University Avenue West , Waterloo , Ontario N2L 3G1 , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing and Department of Physics , University of Waterloo , 200 University Avenue West , Waterloo , Ontario N2L 3G1 , Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5148874845","display_name":"William Chow","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Chow, William","raw_affiliation_strings":["Institute for Quantum Computing and Department of Physics , University of Waterloo , 200 University Avenue West , Waterloo , Ontario N2L 3G1 , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing and Department of Physics , University of Waterloo , 200 University Avenue West , Waterloo , Ontario N2L 3G1 , Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020853148","display_name":"Jonathan Baugh","orcid":"https://orcid.org/0000-0002-9300-7134","observed_orcids":["https://orcid.org/0000-0002-9300-7134"]},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Baugh, Jonathan","raw_affiliation_strings":["Department of Chemistry , University of Waterloo , 200 University Avenue West , Waterloo , Ontario N2L 3G1 , Canada","Institute for Quantum Computing and"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry , University of Waterloo , 200 University Avenue West , Waterloo , Ontario N2L 3G1 , Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Institute for Quantum Computing and","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I151746483"],"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9771000146865845,"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"}},"topics":[{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":0.9771000146865845,"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"}},{"id":"https://openalex.org/T10022","display_name":"Semiconductor Quantum Structures and Devices","score":0.0215000007301569,"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/T10558","display_name":"Advancements in Semiconductor Devices and Circuit Design","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/localized-orbitals","display_name":"localized orbitals","score":0.8799999952316284},{"id":"https://openalex.org/keywords/tunnel-coupling","display_name":"tunnel coupling","score":0.8209999799728394},{"id":"https://openalex.org/keywords/gate-defined-quantum-dots","display_name":"gate-defined quantum dots","score":0.7639999985694885},{"id":"https://openalex.org/keywords/quantum-dot-arrays","display_name":"quantum dot arrays","score":0.7480000257492065},{"id":"https://openalex.org/keywords/confining-potential","display_name":"confining potential","score":0.7979999780654907},{"id":"https://openalex.org/keywords/disorder","display_name":"disorder","score":0.7649999856948853},{"id":"https://openalex.org/keywords/many-body-calculations","display_name":"many-body calculations","score":0.7860000133514404}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6642000079154968},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6187999844551086},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.6029000282287598},{"id":"https://openalex.org/C189394030","wikidata":"https://www.wikidata.org/wiki/Q53860","display_name":"Atomic orbital","level":3,"score":0.565500020980835},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5196999907493591},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.5069000124931335},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.49230000376701355},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4390999972820282},{"id":"https://openalex.org/C7878110","wikidata":"https://www.wikidata.org/wiki/Q1838870","display_name":"Orbital overlap","level":4,"score":0.37549999356269836},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3619999885559082},{"id":"https://openalex.org/C139358910","wikidata":"https://www.wikidata.org/wiki/Q725417","display_name":"Molecular orbital","level":3,"score":0.3098999857902527},{"id":"https://openalex.org/C38823869","wikidata":"https://www.wikidata.org/wiki/Q6664649","display_name":"Localized molecular orbitals","level":5,"score":0.30219998955726624},{"id":"https://openalex.org/C124657808","wikidata":"https://www.wikidata.org/wiki/Q1133068","display_name":"Quantum dot","level":2,"score":0.29919999837875366},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2833000123500824},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.2718999981880188}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.29766","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29766","pdf_url":"https://arxiv.org/pdf/2608.29766","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.2608.29766","doi":"https://doi.org/10.48550/arxiv.2608.29766","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.29766","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:2608.29766","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29766","pdf_url":"https://arxiv.org/pdf/2608.29766","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":[],"funders":[{"id":"https://openalex.org/F4320326644","display_name":"Canada First Research Excellence Fund","ror":"https://ror.org/01ktx4s83"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204874839.pdf","grobid_xml":"https://content.openalex.org/works/W7204874839.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W2883488025","https://openalex.org/W2901710670","https://openalex.org/W2907096571","https://openalex.org/W3116279296","https://openalex.org/W4283704735","https://openalex.org/W4415226593"],"related_works":["https://openalex.org/W2896139514","https://openalex.org/W3021687771","https://openalex.org/W1987792354","https://openalex.org/W1998810423","https://openalex.org/W2802074246","https://openalex.org/W2051936906","https://openalex.org/W2060836591","https://openalex.org/W3212960543","https://openalex.org/W2024854217","https://openalex.org/W2795697914"],"abstract_inverted_index":{"Efficient":[0],"simulation":[1],"of":[2,18,33,45,67,86,96,102],"dense":[3],"gate-defined":[4],"multi-quantum-dot":[5],"arrays":[6],"requires":[7],"accurate":[8],"and":[9,16,90,110],"scalable":[10],"modeling":[11],"methods,":[12],"compatible":[13],"with":[14,50],"asymmetries":[15],"imperfections":[17],"realistic":[19],"voltage-controlled":[20],"confinement":[21],"potentials.":[22],"We":[23,70,98],"present":[24],"a":[25,34,75],"numerical":[26],"localization":[27],"procedure":[28,73],"that":[29],"rotates":[30],"the":[31,68,83,87,94,100,107,114],"eigenbasis":[32],"general":[35],"one-particle":[36],"effective":[37],"orbital":[38,47],"Hamiltonian":[39],"into":[40],"$s$-,":[41],"$p$-,":[42],"$d$-,":[43],"$\\ldots$-shells":[44],"localized":[46],"wavefunctions":[48],"associated":[49],"individual":[51],"quantum":[52],"dots.":[53],"The":[54],"pairwise":[55],"tunnel":[56,88,116],"couplings":[57,89],"between":[58],"such":[59],"states":[60],"are":[61],"computed":[62],"directly":[63],"as":[64],"matrix":[65],"elements":[66],"Hamiltonian.":[69],"demonstrate":[71],"this":[72,103],"on":[74,106],"2D":[76],"triangular":[77],"Si-MOS":[78],"triple-quantum-dot":[79],"array":[80],"by":[81],"obtaining":[82],"voltage":[84],"dependencies":[85],"their":[91],"distributions":[92],"in":[93],"presence":[95],"disorder.":[97],"discuss":[99],"implications":[101],"evaluation":[104],"method":[105],"many-body":[108],"calculations,":[109],"relate":[111],"it":[112],"to":[113],"experimental":[115],"coupling":[117],"measurements.":[118]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-02T00:00:00"}