{"id":525,"date":"2019-10-14T16:15:00","date_gmt":"2019-10-14T14:15:00","guid":{"rendered":"https:\/\/gqm.lpl.univ-paris13.fr\/?p=525"},"modified":"2025-11-08T14:18:47","modified_gmt":"2025-11-08T13:18:47","slug":"excitation-spectrum-and-supersolidity-of-a-two-leg-bosonic-ring-ladder","status":"publish","type":"post","link":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2019\/10\/14\/excitation-spectrum-and-supersolidity-of-a-two-leg-bosonic-ring-ladder\/","title":{"rendered":"Excitation spectrum and supersolidity of a two-leg bosonic ring ladder"},"content":{"rendered":"\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>We consider a system of weakly interacting bosons confined on a planar double lattice ring subjected to two artificial gauge fields. <\/p>\n\n\n\n<p>This system is known to display three phases: the Meissner phase, where the flow of particles is carried at the edges of the system without transverse current; a vortex phase, characterized by nonzero transverse current; and a biased-ladder phase, characterized by an imbalance of the population of the two rings. We use the Bogoliubov approximation to determine the excitation spectrum in the three phases, the dynamic structure factor, and the quantum fluctuation corrections to the first-order correlation function.<\/p>\n\n\n\n<p>Our analysis reveals supersolid features as well as Josephson modes, corresponding to out-of-phase modes of the finite ring.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image aligncenter size-full has-custom-border is-style-rounded wp-duotone-unset-1\" id=\"wp-block-themeisle-blocks-image-cc387826\" style=\"margin-top:var(--wp--preset--spacing--20);margin-right:var(--wp--preset--spacing--20);margin-bottom:var(--wp--preset--spacing--20);margin-left:var(--wp--preset--spacing--20)\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/gqm.lpl.univ-paris13.fr\/wp-content\/uploads\/2025\/11\/Article-Ring-ladder-7f82ba.svg\" alt=\"\" class=\"wp-image-1610\" style=\"border-style:none;border-width:0px;border-radius:10px\"\/><figcaption class=\"wp-element-caption\">Sketch of the system studied in this work: coplanar ring lattices with the same number of sites, with inter-ring tunnel energy K, intra-ring tunnel energies Jei\u03a6p with p =1, 2 and on-site interaction U.<\/figcaption><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>We consider a system of weakly interacting bosons confined on a planar double lattice ring subjected to two artificial gauge fields&#8230; Our analysis reveals supersolid features as well as Josephson modes, corresponding to out-of-phase modes of the finite ring.<br \/>\n<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1910.06410\">arXiv:1910.06410 (2019)<\/a>  \/  <a href=\"https:\/\/doi.org\/10.1103\/PhysRevA.101.033618\">Phys. Rev. A 101, 033618 (2020)<\/a><\/p>\n","protected":false},"author":3,"featured_media":1610,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_themeisle_gutenberg_block_has_review":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[18,129],"tags":[133,131,44],"class_list":["post-525","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-article","category-theory","tag-anna-minguzzi","tag-nicolas-victorin","tag-paolo-pedri"],"blocksy_meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Excitation spectrum and supersolidity of a two-leg bosonic ring ladder - Magnetic Quantum Gases<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2019\/10\/14\/excitation-spectrum-and-supersolidity-of-a-two-leg-bosonic-ring-ladder\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Excitation spectrum and supersolidity of a two-leg bosonic ring ladder - Magnetic Quantum Gases\" \/>\n<meta property=\"og:description\" content=\"We consider a system of weakly interacting bosons confined on a planar double lattice ring subjected to two artificial gauge fields... Our analysis reveals supersolid features as well as Josephson modes, corresponding to out-of-phase modes of the finite ring. arXiv:1910.06410 (2019) \/ Phys. Rev. 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