{"id":1273,"date":"2022-11-03T12:25:11","date_gmt":"2022-11-03T10:25:11","guid":{"rendered":"https:\/\/webs.uab.cat\/giq\/seminar\/toy-holography-in-dual-unitary-circuits\/"},"modified":"2022-11-03T12:25:11","modified_gmt":"2022-11-03T10:25:11","slug":"toy-holography-in-dual-unitary-circuits","status":"publish","type":"seminar","link":"https:\/\/webs.uab.cat\/giq\/seminar\/toy-holography-in-dual-unitary-circuits\/","title":{"rendered":"Toy holography in dual-unitary circuits"},"content":{"rendered":"<div>Dual unitaries are four-legged tensors which satisfy the unitarity condition across the time as well as the space direction. These have attracted a lot of attention in the last three years. One reason being that they allow for the construction of many-body models which display quantum chaos and are analytically tractable. In this talk will present a family of dual-unitary circuits in 1+1 dimensions which constitute discrete analogs of conformal field theories. In other words, these are quantum cellular automata which are scale and Lorentz invariant. Using dual-unitary tensors we can construct tensor-network states for our (1+1) model which look like spatial slices of curved (2+1)-D discrete geometries. As usual, we define the metric distance in the bulk in terms of the entanglement at the boundary. When such boundary state evolves via our dual-unitary circuit, its associated bulk geometry evolves in a fashion that resembles general relativity. I will present all this phenomenology with lots of pictures.<\/div>\n<div>&nbsp;<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Dual unitaries are four-legged tensors which satisfy the unitarity condition across the time as well as the space direction. These have attracted a lot of attention in the last three years. One reason being that they allow for the construction of many-body models which display quantum chaos and are analytically tractable. In this talk will [&hellip;]<\/p>\n","protected":false},"author":20,"featured_media":0,"template":"","class_list":["post-1273","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/1273","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar"}],"about":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/types\/seminar"}],"author":[{"embeddable":true,"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/users\/20"}],"wp:attachment":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/media?parent=1273"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}