HET Seminar: "Quantum & Classical Simulations of Ising Model on AdS2" (Goksu Can Toga, Syracuse)

In this talk we investigate the transverse Ising model on a discretization of two-dimensional anti-deSitter space. We use classical and quantum algorithms to simulate real-time evolution and measure out-of-time-ordered correlators (OTOC). The latter can probe thermalization and scrambling of quantum information under time evolution. We compared tensor network-based methods both with simulation on gated-based superconducting quantum devices and analog quantum simulation using Rydberg arrays. While studying this system’s thermalization properties, we observed different regimes depending on the radius of curvature of the space. In particular, we find a region of parameter space where the thermalization time depends only logarithmically on the number of degrees of freedom.