Speaker
Description
We demonstrate the steps to study the dynamics of a field theory model using a digital computer, with an example of the SYK model. We present calculations on IBM's superconducting quantum computer and state-of-the-art results using various error mitigation techniques. Specifically, we compute the vacuum return probability and out-of-time-order correlators (OTOC) at different times, standard observables for quantifying the chaotic nature of quantum systems.
Next, we consider the two-flavor Gross-Neveu model and compute the real-time evolution of probabilities relevant to the scattering phase shift calculation with a digital quantum computer. We outline the steps for preparing the ground state, generating a Gaussian wave packet, and performing a Quantum Fourier Transform on the quantum device. The phase shift is determined from the time delays measured from normalized probabilities with and without inter-flavor interaction.