Adiabatic evolution to a Fermi Liquid on near-term quantum computers

Landau's Fermi Liquid theory is central to our understanding of many modern condensed matter systems, yet the adiabatic dynamics leading to the formation of Fermi Liquid state remains vastly unexplored. We thus propose studies that can be done on near-term quantum computers to enhance our understanding of Fermi Liquid theory. We were able to generate strongly correlated ground states by performing an adiabatic evolution on the ground states of a non-interacting, few qubit Fermi-Hubbard model. We use this method to determine whether a given Hamiltonian will have a ground state described by the Fermi Liquid theory. Additionally, we develop tools to study the evolution and understand how the quasiparticle picture develops.