Speaker: LLuis Masanes
Affiliation: University College London
Date: Thursday, 18 May 2023 at 12:00
Location: Seminar Room, Serrano 121 (CFMAC)
I will introduce a family of dual-unitary circuits (QCAs) in 1+1 dimensions which are invariant under Lorentz and scale transformations. With the same dual unitaries I will construct tensor-network states for this 1+1 model and interpret them as spatial slices of curved 2+1 discrete geometries. These tensor-network states satisfy the Ryu-Takayanagi relationship between entanglement and geometry, but they provide much more, they contain a complete description of the geometry which includes the interior of black holes, a feature that is not so stransparent in standard AdS/CFT. The dynamics of the circuit induces a natural dynamics on these geometries which reproduces gravitational phenomena like gravitational time dilation, the formation of black holes and the growth of their throat.