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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2022-13-6-608-614</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-273</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>Double ring polariton condensates with polariton vortices</article-title><trans-title-group xml:lang="ru"><trans-title>Двухкольцевые поляритонные конденсаты с поляритонными вихрями</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Седов</surname><given-names>Е. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Sedov</surname><given-names>E. S.</given-names></name></name-alternatives><email xlink:type="simple">evgeny_sedov@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лукошкин</surname><given-names>В. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Lukoshkin</surname><given-names>V. A.</given-names></name></name-alternatives><email xlink:type="simple">v.lukosh@mail.ioffe.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Калевич</surname><given-names>В. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Kalevich</surname><given-names>V. K.</given-names></name></name-alternatives><email xlink:type="simple">kalevich.solid@mail.ioffe.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Честнов</surname><given-names>И. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Chestnov</surname><given-names>I. Yu.</given-names></name></name-alternatives><email xlink:type="simple">igor_chestnov@mail.ru</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Хацопулос</surname><given-names>З.</given-names></name><name name-style="western" xml:lang="en"><surname>Hatzopoulos</surname><given-names>Z.</given-names></name></name-alternatives><email xlink:type="simple">chatzop@physics.uoc.gr</email><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Саввидис</surname><given-names>П. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Savvidis</surname><given-names>P. G.</given-names></name></name-alternatives><email xlink:type="simple">p.savvidis@westlake.edu.cn</email><xref ref-type="aff" rid="aff-5"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кавокин</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Kavokin</surname><given-names>A. V.</given-names></name></name-alternatives><email xlink:type="simple">a.kavokin@westlake.edu.cn</email><xref ref-type="aff" rid="aff-6"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Вестлейкский университет; Институт перспективных исследований Вестлейка; Санкт-Петербургский государственный университет; Владимирский государственный университет</institution></aff><aff xml:lang="en"><institution>Westlake University; Westlake Institute for Advanced Study; St. Petersburg State University; Vladimir State University</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Санкт-Петербургский государственный университет; Институт Иоффе</institution></aff><aff xml:lang="en"><institution>St. Petersburg State University; Ioffe Institute</institution></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Университет ИТМО; Владимирский государственный университет</institution></aff><aff xml:lang="en"><institution>ITMO University; Vladimir State University</institution></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>FORTH-IESL</institution></aff><aff xml:lang="en"><institution>FORTH-IESL</institution></aff></aff-alternatives><aff-alternatives id="aff-5"><aff xml:lang="ru"><institution>Вестлейкский университет; Институт перспективных исследований Вестлейка; FORTH-IESL; Университет Крита</institution></aff><aff xml:lang="en"><institution>Westlake University; Westlake Institute for Advanced Study; FORTH-IESL; University of Crete</institution></aff></aff-alternatives><aff-alternatives id="aff-6"><aff xml:lang="ru"><institution>Вестлейкский университет; Институт перспективных исследований Вестлейка; Санкт-Петербургский государственный университет; Московский физико-технический институт</institution></aff><aff xml:lang="en"><institution>Westlake University; Westlake Institute for Advanced Study; St. Petersburg State University; Moscow Institute of Physics and Technology</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>06</day><month>06</month><year>2025</year></pub-date><volume>13</volume><issue>6</issue><fpage>608</fpage><lpage>614</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Sedov E.S., Lukoshkin V.A., Kalevich V.K., Chestnov I.Y., Hatzopoulos Z., Savvidis P.G., Kavokin A.V., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Седов Е.С., Лукошкин В.А., Калевич В.К., Честнов И.Ю., Хацопулос З., Саввидис П.Г., Кавокин А.В.</copyright-holder><copyright-holder xml:lang="en">Sedov E.S., Lukoshkin V.A., Kalevich V.K., Chestnov I.Y., Hatzopoulos Z., Savvidis P.G., Kavokin A.V.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/273">https://nanojournal.ifmo.ru/jour/article/view/273</self-uri><abstract><p>We study formation of persistent currents of exciton polaritons in annular polariton condensates in a cylindrical micropillar cavity under the spatially localised nonresonant optical pumping. Since polariton condensates are strongly nonequilibrium systems, the trapping potential for polaritons, formed by the pillar edge and the reservoir of optically induced incoherent excitons, is not real in general case. Its imaginary part includes the spatially distributed gain from the pump and losses of polaritons in the condensate. We show that engineering the gain-loss balance in the micropillar plane gives one an access to the excited states of the polariton condensate. We demonstrate, both theoretically and experimentally, the formation of vortices in double concentric ring polariton condensates in the case of complex annular trap potential.</p></abstract><trans-abstract xml:lang="ru"><p>Исследовано формирование незатухающих токов экситонных поляритонов в кольцевых поляритонных конденсатах в микроцилиндрическом резонаторе в условиях пространственно-локализованной нерезонансной оптической накачки. Поскольку поляритонные конденсаты являются сильно неравновесными системами, потенциал захвата поляритонов, образованный микроцилиндром и резервуаром оптически индуцированных некогерентных экситонов, в общем случае является комплексным. Его мнимая часть включает пространственно-распределённое усиление за счёт накачки и потери поляритонов в конденсате. Показано, что управление балансом усиления и потерь в плоскости микроцилиндрического резонатора открывает доступ к наблюдению возбуждённых состояний поляритонного конденсата. Теоретически и экспериментально продемонстрировано образование вихрей в двойных концентрических кольцевых поляритонных конденсатах в комплексном потенциале кольцевой ловушки.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>поляритон</kwd><kwd>экситон-поляритонный конденсат</kwd><kwd>незатухающий ток</kwd><kwd>микропиллар</kwd><kwd>вихрь</kwd></kwd-group><kwd-group xml:lang="en"><kwd>polariton</kwd><kwd>exciton-polariton condensate</kwd><kwd>persisten current</kwd><kwd>micropillar</kwd><kwd>vortex</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Kavokin A., Baumberg J., Malpuech G., Laussy F. Microcavities, 2nd ed., Series on Semiconductor Science and Technology, Oxford University Press, Oxford, 2017, xxx+592 p.</mixed-citation><mixed-citation xml:lang="en">Kavokin A., Baumberg J., Malpuech G., Laussy F. 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