31 July 2023 to 4 August 2023
America/Chicago timezone

Simulations of the Hyperbolic Ising Model

4 Aug 2023, 10:00
20m
Comitium (WH2SE)

Comitium

WH2SE

Speaker

Goksu Toga (Syracuse University)

Description

In this talk we study the Ising model living on a discretization of two dimensional anti-de Sitter space. Our numerical work uses tensor network methods based on matrix product states (MPS) and matrix product operator (MPO) constructions. We use DMRG techniques to obtain the ground state and investigate its properties. For the time evolution of the model , we use the TEBD algorithm and show that the time evolution of the system exhibiths the expected warping effects due to the curved background. Finally, we calculate out-of-time ordered correlators (OTOCs) for the model and evaluate the speed of information spread through the system under time evolution.

Topical area Quantum Computing and Quantum Information

Primary authors

Goksu Toga (Syracuse University) Muhammed Assaduzzaman (University of Iowa) Simon Catterall (Syracuse university) Yannick Meurice (U. of Iowa)

Presentation materials