{"id":4758,"date":"2017-01-01T00:00:00","date_gmt":"2017-01-01T08:00:00","guid":{"rendered":"https:\/\/wpdev.hmc.edu\/physics\/2017\/01\/01\/emergent-spacetime-quantum-entanglement-in-matrix-theory\/"},"modified":"2025-12-19T09:04:39","modified_gmt":"2025-12-19T17:04:39","slug":"emergent-spacetime-quantum-entanglement-in-matrix-theory","status":"publish","type":"physics_publications","link":"https:\/\/www.hmc.edu\/physics\/research\/publications\/emergent-spacetime-quantum-entanglement-in-matrix-theory\/","title":{"rendered":"Emergent Spacetime &amp; Quantum Entanglement in Matrix Theory"},"content":{"rendered":"\n<p id=\"authors\"><span class=\"facauthor\">Vatche Sahakian<\/span>*, <span class=\"studauthor\">Yossathorn Tawabutr<\/span>, and <span class=\"studauthor\">Xinrui Yan<\/span><\/p>\n\n\n\n<p id=\"doc-link\"><a href=\"https:\/\/www.hmc.edu\/physics\/wp-content\/uploads\/sites\/22\/2023\/02\/\">Emergent Spacetime &amp; Quantum Entanglement in Matrix Theory (PDF)<\/a><\/p>\n\n\n\n<p id=\"journal\"><span class=\"journal-title\">Journal of High Energy Physics<\/span> <strong data-vol=\"8\">8<\/strong> <span id=\"journal-year\">(2017)<\/span> <span id=\"journal-pages\" data-pages=\"140\">140<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Abstract<\/h2>\n\n\n\n<p>In the context of the Bank-Fishler-Shenker-Susskind Matrix theory, we analyze a spherical membrane in light-cone M theory along with two asymptotically distant probes. In the appropriate energy regime, we find that the membrane behaves like a smeared Matrix black hole; and the spacetime geometry seen by the probes can become non-commutative even far away from regions of Planckian curvature. This arises from nonlinear Matrix interactions where fast matrix modes lift a flat direction in the potential \u2014 akin to the Paul trap phenomenon in atomic physics. In the regime where we do have a notion of emergent spacetime, we show that there is non-zero entanglement entropy between supergravity modes on the membrane and the probes. The computation can easily be generalized to other settings, and this can help develop a dictionary between entanglement entropy and local geometry \u2014 similar to Ryu-Takayanagi but instead for asymptotically flat backgrounds.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vatche Sahakian*, Yossathorn Tawabutr, and Xinrui Yan Emergent Spacetime &amp; Quantum Entanglement in Matrix Theory (PDF) Journal of High Energy [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"template":"","publication_author":[22],"class_list":["post-4758","physics_publications","type-physics_publications","status-publish","hentry","publication_author-sahakian"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/physics_publications\/4758","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/physics_publications"}],"about":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/types\/physics_publications"}],"author":[{"embeddable":true,"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/users\/1"}],"wp:attachment":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/media?parent=4758"}],"wp:term":[{"taxonomy":"publication_author","embeddable":true,"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/publication_author?post=4758"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}