{"id":"https://openalex.org/W4225596155","doi":"https://doi.org/10.1103/physrevb.107.165304","title":"Collision of two interacting electrons on a mesoscopic beam splitter: Exact solution in the classical limit","display_name":"Collision of two interacting electrons on a mesoscopic beam splitter: Exact solution in the classical limit","publication_year":2023,"publication_date":"2023-04-07","ids":{"openalex":"https://openalex.org/W4225596155","doi":"https://doi.org/10.1103/physrevb.107.165304"},"language":"en","primary_location":{"id":"doi:10.1103/physrevb.107.165304","doi":"https://doi.org/10.1103/physrevb.107.165304","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.107.165304","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2201.13439","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058792718","display_name":"Elina Pavlovska","orcid":"https://orcid.org/0000-0002-4481-5442","observed_orcids":["https://orcid.org/0000-0002-4481-5442"]},"institutions":[{"id":"https://openalex.org/I91123046","display_name":"University of Latvia","ror":"https://ror.org/05g3mes96","country_code":"LV","type":"education","lineage":["https://openalex.org/I91123046"]}],"countries":["LV"],"is_corresponding":true,"raw_author_name":"Elina Pavlovska","raw_affiliation_strings":["Department of Physics, University of Latvia, Riga, LV-1004, Latvia"],"raw_orcid":"https://orcid.org/0000-0002-4481-5442","affiliations":[{"raw_affiliation_string":"Department of Physics, University of Latvia, Riga, LV-1004, Latvia","institution_ids":["https://openalex.org/I91123046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028367056","display_name":"P. G. Silvestrov","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter G. Silvestrov","raw_affiliation_strings":["Institut f\u00fcr Mathematische Physik, Technische Universit\u00e4t Braunschweig, D-38106 Braunschweig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematische Physik, Technische Universit\u00e4t Braunschweig, D-38106 Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075817030","display_name":"Patrik Recher","orcid":"https://orcid.org/0000-0001-5207-7235","observed_orcids":["https://orcid.org/0000-0001-5207-7235"]},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Patrik Recher","raw_affiliation_strings":["Institut f\u00fcr Mathematische Physik, Technische Universit\u00e4t Braunschweig, D-38106 Braunschweig, Germany","Laboratory for Emerging Nanometrology Braunschweig, D-38106 Braunschweig, Germany"],"raw_orcid":"https://orcid.org/0000-0001-5207-7235","affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematische Physik, Technische Universit\u00e4t Braunschweig, D-38106 Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]},{"raw_affiliation_string":"Laboratory for Emerging Nanometrology Braunschweig, D-38106 Braunschweig, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049282675","display_name":"\u011eirts Barinovs","orcid":"https://orcid.org/0000-0001-6554-367X","observed_orcids":["https://orcid.org/0000-0001-6554-367X"]},"institutions":[{"id":"https://openalex.org/I91123046","display_name":"University of Latvia","ror":"https://ror.org/05g3mes96","country_code":"LV","type":"education","lineage":["https://openalex.org/I91123046"]}],"countries":["LV"],"is_corresponding":false,"raw_author_name":"Girts Barinovs","raw_affiliation_strings":["Department of Physics, University of Latvia, Riga, LV-1004, Latvia"],"raw_orcid":"https://orcid.org/0000-0001-6554-367X","affiliations":[{"raw_affiliation_string":"Department of Physics, University of Latvia, Riga, LV-1004, Latvia","institution_ids":["https://openalex.org/I91123046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057310534","display_name":"Vyacheslavs Kashcheyevs","orcid":"https://orcid.org/0000-0002-4869-8837","observed_orcids":["https://orcid.org/0000-0002-4869-8837"]},"institutions":[{"id":"https://openalex.org/I91123046","display_name":"University of Latvia","ror":"https://ror.org/05g3mes96","country_code":"LV","type":"education","lineage":["https://openalex.org/I91123046"]}],"countries":["LV"],"is_corresponding":false,"raw_author_name":"Vyacheslavs Kashcheyevs","raw_affiliation_strings":["Department of Physics, University of Latvia, Riga, LV-1004, Latvia"],"raw_orcid":"https://orcid.org/0000-0002-4869-8837","affiliations":[{"raw_affiliation_string":"Department of Physics, University of Latvia, Riga, LV-1004, Latvia","institution_ids":["https://openalex.org/I91123046"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058792718"],"corresponding_institution_ids":["https://openalex.org/I91123046"],"apc_list":null,"apc_paid":null,"fwci":0.9226,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.67759429,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"107","issue":"16","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":0.9990000128746033,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9990000128746033,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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":0.0003000000142492354,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/electron-electron-scattering","display_name":"electron-electron scattering","score":0.6980000138282776},{"id":"https://openalex.org/keywords/hong-ou-mandel-interference","display_name":"Hong-Ou-Mandel interference","score":0.7900000214576721},{"id":"https://openalex.org/keywords/electrostatic-repulsion","display_name":"electrostatic repulsion","score":0.7950000166893005},{"id":"https://openalex.org/keywords/classical-limit","display_name":"classical limit","score":0.7950000166893005},{"id":"https://openalex.org/keywords/hamiltonian-equations-of-motion","display_name":"Hamiltonian equations of motion","score":0.6539999842643738},{"id":"https://openalex.org/keywords/phase-diagram","display_name":"phase diagram","score":0.4320000112056732},{"id":"https://openalex.org/keywords/quantum-hall-edge-states","display_name":"quantum Hall edge states","score":0.5600000023841858},{"id":"https://openalex.org/keywords/fermionic-statistics","display_name":"fermionic statistics","score":0.3619999885559082}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8305502533912659},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.7310371994972229},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.5149946808815002},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.49091964960098267},{"id":"https://openalex.org/C177731217","wikidata":"https://www.wikidata.org/wiki/Q2622244","display_name":"Mesoscopic physics","level":2,"score":0.450725793838501},{"id":"https://openalex.org/C159317903","wikidata":"https://www.wikidata.org/wiki/Q3198","display_name":"Photon","level":2,"score":0.43795332312583923},{"id":"https://openalex.org/C9342510","wikidata":"https://www.wikidata.org/wiki/Q25406","display_name":"Coulomb","level":3,"score":0.43474650382995605},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/physrevb.107.165304","doi":"https://doi.org/10.1103/physrevb.107.165304","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.107.165304","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2201.13439","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2201.13439","pdf_url":"https://arxiv.org/pdf/2201.13439","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.2201.13439","doi":"https://doi.org/10.48550/arxiv.2201.13439","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2201.13439","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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2201.13439","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2201.13439","pdf_url":"https://arxiv.org/pdf/2201.13439","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/G4012145246","display_name":"Elektrona-elektrona mijiedarb\u012bbas mode\u013ci elektronu kvantu optikas ier\u012bc\u0113s cietviel\u0101","funder_award_id":"lzp-2020/2-0281","funder_id":"https://openalex.org/F4320323269","funder_display_name":"Latvijas Zin\u0101tnes Padome"},{"id":"https://openalex.org/G40493870","display_name":null,"funder_award_id":"EXC-2123 Quantum Frontiers","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4779387119","display_name":"EXC 2123: QuantumFrontiers  Licht und Materie an der Quantengrenze","funder_award_id":"390837967","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G745383156","display_name":null,"funder_award_id":"(EXC 2123","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/F4320323269","display_name":"Latvijas Zin\u0101tnes Padome","ror":"https://ror.org/02ar66p97"},{"id":"https://openalex.org/F4320323297","display_name":"Latvijas Universitate","ror":"https://ror.org/05g3mes96"},{"id":"https://openalex.org/F4320327733","display_name":"Latvijas Universit\u0101tes Fonds","ror":"https://ror.org/00tgafc17"},{"id":"https://openalex.org/F4320335254","display_name":"Horizon 2020","ror":null},{"id":"https://openalex.org/F4320338394","display_name":"European Metrology Programme for Innovation and Research","ror":"https://ror.org/042k5q325"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W332579145","https://openalex.org/W1969203866","https://openalex.org/W1971126185","https://openalex.org/W1977192479","https://openalex.org/W1987019228","https://openalex.org/W1994609661","https://openalex.org/W2004982243","https://openalex.org/W2018436409","https://openalex.org/W2029621800","https://openalex.org/W2030191094","https://openalex.org/W2051797751","https://openalex.org/W2055105132","https://openalex.org/W2061172956","https://openalex.org/W2062584998","https://openalex.org/W2064586161","https://openalex.org/W2065825828","https://openalex.org/W2071992517","https://openalex.org/W2073856692","https://openalex.org/W2077813365","https://openalex.org/W2082702006","https://openalex.org/W2105827183","https://openalex.org/W2139839072","https://openalex.org/W2170602140","https://openalex.org/W2195062994","https://openalex.org/W2264872332","https://openalex.org/W2411844013","https://openalex.org/W2520522570","https://openalex.org/W2525413034","https://openalex.org/W2528190881","https://openalex.org/W2530606855","https://openalex.org/W2554517106","https://openalex.org/W2577119969","https://openalex.org/W2785290892","https://openalex.org/W2891091195","https://openalex.org/W2925257763","https://openalex.org/W2950480836","https://openalex.org/W2950988446","https://openalex.org/W2953199620","https://openalex.org/W2980182666","https://openalex.org/W3001310096","https://openalex.org/W3009941410","https://openalex.org/W3013624328","https://openalex.org/W3018767059","https://openalex.org/W3047017912","https://openalex.org/W3098160319","https://openalex.org/W3099413459","https://openalex.org/W3100127213","https://openalex.org/W3119890700","https://openalex.org/W3121618882","https://openalex.org/W3199009986","https://openalex.org/W4245843226","https://openalex.org/W4283824769","https://openalex.org/W4283833418"],"related_works":["https://openalex.org/W4376134536","https://openalex.org/W4391327633","https://openalex.org/W2950988446","https://openalex.org/W4283833418","https://openalex.org/W2095748815","https://openalex.org/W3037458018","https://openalex.org/W2004738041","https://openalex.org/W7021081859","https://openalex.org/W4376134747","https://openalex.org/W4416614254"],"abstract_inverted_index":{"Experiments":[0],"on":[1,125],"collisions":[2],"of":[3,17,37,114,120,128,148,167,176,183,188,197,214,222,239],"isolated":[4],"electrons":[5,24,38,59,101],"guided":[6],"along":[7],"the":[8,20,29,46,58,90,98,117,126,137,142,146,149,153,173,177,186,189,212,215,232,242],"edges":[9],"in":[10,165],"quantum":[11,67,250],"Hall":[12],"setups":[13],"can":[14],"mimic":[15],"mixing":[16],"photons":[18],"with":[19,206],"important":[21],"distinction":[22],"that":[23,111],"are":[25,39],"charged":[26],"fermions.":[27],"In":[28],"so-called":[30],"electronic":[31,79],"Hong-Ou-Mandel":[32],"(HOM)":[33],"setup":[34],"uncorrelated":[35,178],"pairs":[36],"injected":[40,100],"toward":[41],"a":[42,83,104,168,207],"beam":[43,91],"splitter.":[44],"If":[45],"two":[47,99],"electron":[48],"wave":[49],"packets":[50],"were":[51],"identical,":[52],"then":[53],"Fermi":[54],"statistics":[55],"would":[56],"force":[57],"to":[60,62,103,136,161,220,230,247],"scatter":[61],"different":[63],"detectors,":[64],"yet":[65],"this":[66],"antibunching":[68,201],"may":[69],"be":[70],"confounded":[71],"by":[72],"Coulomb":[73,95,143],"repulsion.":[74],"Here":[75],"we":[76],"model":[77],"an":[78],"HOM":[80],"experiment":[81],"using":[82],"quadratic":[84],"two-dimensional":[85],"saddle":[86,138,190],"point":[87,139,191],"potential":[88,140,144],"for":[89,116,131],"splitter":[92],"and":[93,141,152,185,200,235],"unscreened":[94],"interaction":[96,221],"between":[97],"subjected":[102],"strong":[105],"out-of-plane":[106],"magnetic":[107],"field.":[108],"We":[109,157,225],"show":[110],"classical":[112,243],"equations":[113,130,160],"motion":[115],"drift":[118],"dynamics":[119,147,244],"electrons'":[121],"guiding":[122],"centers":[123],"take":[124],"form":[127],"Hamilton":[129],"canonically":[132],"conjugated":[133],"variables":[134],"subject":[135],"where":[145],"center-of-mass":[150],"coordinate":[151,155],"relative":[154,180],"separate.":[156],"use":[158],"these":[159],"determine":[162],"collision":[163],"outcomes":[164,203],"terms":[166],"few":[169],"experimentally":[170],"tuneable":[171],"parameters:":[172],"initial":[174],"energies":[175],"electrons,":[179],"time":[181],"delay":[182],"injection,":[184],"shape":[187],"potential.":[192],"A":[193],"universal":[194],"phase":[195],"diagram":[196],"deterministic":[198],"bunching":[199],"scattering":[202],"is":[204,245],"presented":[205],"single":[208],"energy":[209],"scale":[210],"characterizing":[211],"increase":[213],"effective":[216],"barrier":[217],"height":[218],"due":[219],"coincident":[223],"electrons.":[224],"suggest":[226],"clear-cut":[227],"experimental":[228],"strategies":[229],"detect":[231],"predicted":[233],"effects":[234],"give":[236],"analytical":[237],"estimates":[238],"conditions":[240],"when":[241],"expected":[246],"dominate":[248],"over":[249],"effects.":[251]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2022-05-05T00:00:00"}
