		{"id":49753,"date":"2021-07-21T16:11:58","date_gmt":"2021-07-21T14:11:58","guid":{"rendered":"http:\/\/www.erbium.at\/FF\/?p=49753"},"modified":"2024-03-12T11:42:12","modified_gmt":"2024-03-12T10:42:12","slug":"__trashed","status":"publish","type":"post","link":"https:\/\/www.erbium.at\/FF\/__trashed\/","title":{"rendered":"Two-dimensional supersolidity in a circular trap"},"content":{"rendered":"\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large is-resized\"><a href=\"http:\/\/www.erbium.at\/FF\/wp-content\/uploads\/2021\/07\/figure.png\"><img loading=\"lazy\" class=\"wp-image-49754\" src=\"http:\/\/www.erbium.at\/FF\/wp-content\/uploads\/2021\/07\/figure.png\" alt=\"\" width=\"543\" height=\"503\" srcset=\"https:\/\/www.erbium.at\/FF\/wp-content\/uploads\/2021\/07\/figure.png 775w, https:\/\/www.erbium.at\/FF\/wp-content\/uploads\/2021\/07\/figure-300x278.png 300w, https:\/\/www.erbium.at\/FF\/wp-content\/uploads\/2021\/07\/figure-768x712.png 768w, https:\/\/www.erbium.at\/FF\/wp-content\/uploads\/2021\/07\/figure-500x463.png 500w\" sizes=\"(max-width: 543px) 100vw, 543px\" \/><\/a>\r\n<figcaption><em>Figure: Experimental realisation of a two-dimensional seven droplet hexagon state. (a) In-situ image of density profile. (b) Image after 36 ms time-of-flight expansion. (c,d) Corresponding theory result for the same trap. In (d), the time-of-flight expansion is estimated by a Fourier transform of the wavefunction.<\/em><\/figcaption>\r\n<\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<p>Dipolar condensates were recently coaxed into supersolid phases supporting both superfluid and crystal excitations. The first dipolar supersolids consisted of one dimensional droplet arrays, and a recent experiment here achieved two dimensional supersolidity, observing the transition from a linear chain to a zig-zag configuration of droplets.<\/p>\r\n\r\n\r\n\r\n<p>In this work, in collaboration with Prof. Luis Santos from the Leibniz University Hannover, we show that while one-dimensional supersolids may be prepared from condensates via a roton instability, such a procedure in two dimensions tends to destabilise the supersolid. By evaporatively cooling directly into the supersolid phase&#8211;hence bypassing the roton instability&#8211;we experimentally produce a 2D supersolid in a near-circular trap, an observation verified through state-of-the-art finite temperature simulations. We show that 2D roton modes have little in common with the supersolid configuration, instead, unstable rotons produce a small number of central droplets, which triggers a nonlinear process of crystal growth. We calculate excitations for a 2D supersolid ground state, and make comparisons with 1D arrays using the static structure factor. These results provide insight into the process of supersolid formation in 2D, and define a realistic path to the formation of large two-dimensional supersolid arrays.<\/p>\r\n<p>&nbsp;<\/p>\r\n<p>This work has been published in <a href=\"https:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.128.195302\">Physical Review Letters<\/a>, and it can also be found on\u00a0\u00a0the <a href=\"https:\/\/arxiv.org\/abs\/2107.06680\">arXiv<\/a>.<\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>Supersolids go circular! Our Er-Dy and theory labs collaborate together to realise supersolidity in round traps. We also investigate effective formation protocols for two-dimensional supersolids, and explore the rich excitation spectra of these objects.<\/p>\n","protected":false},"author":26,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[39,3,42],"tags":[],"_links":{"self":[{"href":"https:\/\/www.erbium.at\/FF\/wp-json\/wp\/v2\/posts\/49753"}],"collection":[{"href":"https:\/\/www.erbium.at\/FF\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.erbium.at\/FF\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.erbium.at\/FF\/wp-json\/wp\/v2\/users\/26"}],"replies":[{"embeddable":true,"href":"https:\/\/www.erbium.at\/FF\/wp-json\/wp\/v2\/comments?post=49753"}],"version-history":[{"count":12,"href":"https:\/\/www.erbium.at\/FF\/wp-json\/wp\/v2\/posts\/49753\/revisions"}],"predecessor-version":[{"id":52001,"href":"https:\/\/www.erbium.at\/FF\/wp-json\/wp\/v2\/posts\/49753\/revisions\/52001"}],"wp:attachment":[{"href":"https:\/\/www.erbium.at\/FF\/wp-json\/wp\/v2\/media?parent=49753"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.erbium.at\/FF\/wp-json\/wp\/v2\/categories?post=49753"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.erbium.at\/FF\/wp-json\/wp\/v2\/tags?post=49753"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}