{"id":7716,"date":"2022-03-01T10:24:08","date_gmt":"2022-03-01T09:24:08","guid":{"rendered":"https:\/\/vcq.quantum.at\/?p=7716"},"modified":"2022-03-01T10:47:51","modified_gmt":"2022-03-01T09:47:51","slug":"donuts-and-laser-beams","status":"publish","type":"post","link":"https:\/\/vcq.quantum.at\/blog\/2022\/03\/01\/donuts-and-laser-beams\/","title":{"rendered":"Donuts and laser beams"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"7716\" class=\"elementor elementor-7716\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-689e461 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"689e461\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-66 elementor-top-column elementor-element elementor-element-7cc791b\" data-id=\"7cc791b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a32af20 elementor-widget elementor-widget-text-editor\" data-id=\"a32af20\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<h4>In materials research, considerable progress is made by exploiting insights from the field of topology. Similar tools can now be applied to lasers.<\/h4><p>A donut is not a bun. From a mathematical point of view, they are two fundamentally different objects: The donut has a hole, the bun does not. A circle inside the donut around its hole in the center cannot be shrunk to a point. An arbitrary circle inside the bun, however, can.<\/p><p>The mathematical discipline that deals with such categorizations of surfaces and bodies is topology. In recent years, its role in physics has also increased: in 2016, the Nobel Prize was awarded for the application of topological concepts to solid-state physics. Now it turns out: topology can also play a crucial role in the generation of laser light. A collaboration between the Technical University of Vienna (TU Wien) and research teams from the USA has led to the development of a special laser that emits light beams with characteristic topological properties. This success has now been published in the journal &#8220;Science&#8221;.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c494f7a\" data-id=\"c494f7a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1df76d4 elementor-widget elementor-widget-image\" data-id=\"1df76d4\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" loading=\"lazy\" width=\"640\" height=\"427\" src=\"https:\/\/vcq.quantum.at\/wp-content\/uploads\/2022\/03\/csm_Topologie_Waveguide_Structure_Dark_57af294e1d-1024x683.jpg\" class=\"attachment-large size-large wp-image-7717\" alt=\"\" srcset=\"https:\/\/vcq.quantum.at\/wp-content\/uploads\/2022\/03\/csm_Topologie_Waveguide_Structure_Dark_57af294e1d-1024x683.jpg 1024w, https:\/\/vcq.quantum.at\/wp-content\/uploads\/2022\/03\/csm_Topologie_Waveguide_Structure_Dark_57af294e1d-300x200.jpg 300w, https:\/\/vcq.quantum.at\/wp-content\/uploads\/2022\/03\/csm_Topologie_Waveguide_Structure_Dark_57af294e1d-768x512.jpg 768w, https:\/\/vcq.quantum.at\/wp-content\/uploads\/2022\/03\/csm_Topologie_Waveguide_Structure_Dark_57af294e1d-1536x1024.jpg 1536w, https:\/\/vcq.quantum.at\/wp-content\/uploads\/2022\/03\/csm_Topologie_Waveguide_Structure_Dark_57af294e1d.jpg 1600w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d9fa525 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d9fa525\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ac4671a\" data-id=\"ac4671a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-58c5255 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"58c5255\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0596380 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0596380\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-bc2879c\" data-id=\"bc2879c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2ff8e10 elementor-widget elementor-widget-eael-adv-tabs\" data-id=\"2ff8e10\" data-element_type=\"widget\" data-widget_type=\"eael-adv-tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t        <div id=\"eael-advance-tabs-2ff8e10\" class=\"eael-advance-tabs eael-tabs-horizontal eael-tab-auto-active \" data-tabid=\"2ff8e10\">\n            <div class=\"eael-tabs-nav\" role=\"tablist\">\n                <ul class=\"eael-tab-inline-icon\" role=\"tablist\">\n                                            <li id=\"publication\" class=\"inactive eael-tab-item-trigger\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"publication-tab\" aria-expanded=\"false\">\n                            \n                                                                <i class=\"fas fa-home\"><\/i>                                                            \n                                                            <span class=\"eael-tab-title  title-after-icon\">Publication<\/span>                            \n                                                    <\/li>\n                                            <li id=\"contact\" class=\"inactive eael-tab-item-trigger\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"contact-tab\" aria-expanded=\"false\">\n                            \n                                                                <i class=\"fas fa-home\"><\/i>                                                            \n                                                            <span class=\"eael-tab-title  title-after-icon\">Contact<\/span>                            \n                                                    <\/li>\n                                    <\/ul>\n            <\/div>\n            \n            <div class=\"eael-tabs-content\">\n\t\t        \n                    <div id=\"publication-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"publication-tab\">\n\t\t\t\t        \t\t\t\t\t        <p>A. Schumer et al.,<\/p><p><a href=\"https:\/\/doi.org\/10.1126\/science.abl6571\" target=\"_blank\" rel=\"noopener noreferrer\" class=\"broken_link\"> Topological Modes in a Laser Cavity via Exceptional State Transfer,<\/a><\/p><p>Science (2021), DOI: 10.1126\/science.abl6571<\/p><p><a href=\"https:\/\/www.tuwien.at\/en\/tu-wien\/news\/news-articles\/news\/donuts-und-laserstrahlen\">Full TU article<\/a><\/p>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"contact-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"contact-tab\">\n\t\t\t\t        \t\t\t\t\t        <p>Prof. Stefan Rotter<br \/>Institute for Theoretical Physics<br \/>TU Wien<br \/>+43 1 58801 13618<br \/><a>stefan.rotter@tuwien.ac.at<\/a><\/p><p>Dipl.-Ing. Alexander Schumer<br \/>Institute for Theoretical Physics<br \/>TU Wien<br \/>+43 1 58801 13606<br \/><a>alexander.schumer@tuwien.ac.at<\/a><\/p><p>\u00a0<\/p>\t\t\t\t                            <\/div>\n\t\t                    <\/div>\n        <\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>In materials research, considerable progress is made by exploiting insights from the field of topology. Similar tools can now be applied to lasers. A donut is not a bun. From a mathematical point of view, they are two fundamentally different objects: The donut has a hole, the bun does not. A circle inside the donut [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":7717,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[8],"tags":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/vcq.quantum.at\/wp-json\/wp\/v2\/posts\/7716"}],"collection":[{"href":"https:\/\/vcq.quantum.at\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vcq.quantum.at\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vcq.quantum.at\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/vcq.quantum.at\/wp-json\/wp\/v2\/comments?post=7716"}],"version-history":[{"count":19,"href":"https:\/\/vcq.quantum.at\/wp-json\/wp\/v2\/posts\/7716\/revisions"}],"predecessor-version":[{"id":7738,"href":"https:\/\/vcq.quantum.at\/wp-json\/wp\/v2\/posts\/7716\/revisions\/7738"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/vcq.quantum.at\/wp-json\/wp\/v2\/media\/7717"}],"wp:attachment":[{"href":"https:\/\/vcq.quantum.at\/wp-json\/wp\/v2\/media?parent=7716"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vcq.quantum.at\/wp-json\/wp\/v2\/categories?post=7716"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vcq.quantum.at\/wp-json\/wp\/v2\/tags?post=7716"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}