The quantum Ising model at finite size

Zane Ozzello

The Ising model is amongst the simplest and most well-studied quantum lattice models. It is very accessible for simulation with exact diagonalization, density matrix renormalization group methods, and on quantum devices. However, due to limitations in all these approaches the model is treated in the finite-size limit. However, due to the well-studied nature of the model, this provides an ideal avenue by which to show capabilities even in this regime. We will highlight results that are still achievable even with such limitations. We use entanglement entropy and classical mutual information to identify the infinite-volume critical point of the model. This leads to showing how basis changes impact the classical mutual information and the model's simulatability. We show properties of the probability distributions of the simulated model. Using scaling properties, we can show how the magnetic susceptibility with varying parameter at different sizes collapses to a single curve in 1+1D and highlight preliminary results in this direction for 2+1D.

To participate in this event virtually via Zoom, go to https://uiowa.zoom.us/j/99570315915.