{"id":155,"date":"2016-01-01T10:16:45","date_gmt":"2016-01-01T08:16:45","guid":{"rendered":"http:\/\/bela.phy.hr\/czi\/?p=155"},"modified":"2016-09-16T09:51:41","modified_gmt":"2016-09-16T07:51:41","slug":"the-harper-hofstadter-hamiltonian-and-conical-diffraction-in-photonic-lattices-with-grating-assisted-tunneling","status":"publish","type":"post","link":"http:\/\/bela.phy.hr\/quantixlie\/the-harper-hofstadter-hamiltonian-and-conical-diffraction-in-photonic-lattices-with-grating-assisted-tunneling\/","title":{"rendered":"The Harper\u2013Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling"},"content":{"rendered":"<p>ABSTRACT: We propose the realization of a grating assisted tunneling scheme for tunable synthetic magnetic fields\u00a0in optically induced one- and two-dimensional dielectric photonic lattices. As a signature of the\u00a0synthetic magnetic fields, we demonstrate conical diffraction patterns in particular realization of these\u00a0lattices, which possess Dirac points in k-space. We compare the light propagation in these realistic\u00a0(continuous) systems with the evolution in discrete models representing the Harper\u2013Hofstadter\u00a0Hamiltonian, and obtain excellent agreement.<\/p>\n<p>Tena Dub\u010dek, Karlo Lelas, Dario Juki\u0107, Robert Pezer, Marin Solja\u010di\u0107 and Hrvoje Buljan, <em>The Harper\u2013Hofstadter Hamiltonian and conical diffraction in\u00a0photonic lattices with grating assisted tunneling<\/em>, <a href=\"http:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/17\/12\/125002\">New J. Phys. <strong>17<\/strong>, 125002 (2015)<\/a>.<\/p>","protected":false},"excerpt":{"rendered":"<div class=\"mh-excerpt\"><p>ABSTRACT: We propose the realization of a grating assisted tunneling scheme for tunable synthetic magnetic fields\u00a0in optically induced one- and two-dimensional dielectric photonic lattices. As a signature of the\u00a0synthetic magnetic fields, we demonstrate conical diffraction patterns in particular realization of these\u00a0lattices, which possess Dirac points in k-space. We compare the <a class=\"mh-excerpt-more\" href=\"http:\/\/bela.phy.hr\/quantixlie\/the-harper-hofstadter-hamiltonian-and-conical-diffraction-in-photonic-lattices-with-grating-assisted-tunneling\/\" title=\"The Harper\u2013Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling\">[&#8230;]<\/a><\/p>\n<\/div>","protected":false},"author":1,"featured_media":346,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[12],"tags":[],"_links":{"self":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts\/155"}],"collection":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/comments?post=155"}],"version-history":[{"count":3,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts\/155\/revisions"}],"predecessor-version":[{"id":347,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts\/155\/revisions\/347"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/media\/346"}],"wp:attachment":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/media?parent=155"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/categories?post=155"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/tags?post=155"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}