Discrete holography in dual-unitary circuits


Masanes, L. (2023). Discrete holography in dual-unitary circuits. Perimeter Institute. https://pirsa.org/23050020


Masanes, Lluis. Discrete holography in dual-unitary circuits. Perimeter Institute, May. 03, 2023, https://pirsa.org/23050020


          @misc{ pirsa_PIRSA:23050020,
            doi = {10.48660/23050020},
            url = {https://pirsa.org/23050020},
            author = {Masanes, Lluis},
            keywords = {Quantum Information},
            language = {en},
            title = {Discrete holography in dual-unitary circuits},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {may},
            note = {PIRSA:23050020 see, \url{https://pirsa.org}}

Lluis Masanes University College London


I will introduce a family of dual-unitary circuits in 1+1 dimensions which are invariant under the joint action of 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 conjecture outside event horizons, but the geometry of the network is also well defined inside the horizon. The dynamics of the circuit induces a natural dynamics on these geometries which reproduces GR phenomena like the gravitational redshift, the formation of black holes and the growth of their throat.

Zoom link:  https://pitp.zoom.us/j/92034586204?pwd=eEo0NzVjeFkxWVJnY0hjOUhodXNWdz09