Discrete holography in dual-unitary circuits
APA
Masanes, L. (2023). Discrete holography in dual-unitary circuits. Perimeter Institute. https://pirsa.org/23050020
MLA
Masanes, Lluis. Discrete holography in dual-unitary circuits. Perimeter Institute, May. 03, 2023, https://pirsa.org/23050020
BibTex
@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}} }
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.
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