Since its inception, this group has worked on describing the thermodynamics of quantum many-body systems using the non-perturbative tools of lattice field theory: lattice Monte Carlo simulations, perturbative expansions, mean-field approaches, and in the last few years automated algebra (specifically for the virial expansion and perturbation theory). Starting from particle content and interactions, we implement computational methods to characterize matter in extreme environments such as neutron star mergers and ultracold atoms.
We also explore fundamental few- and many-body problems in universal regimes in a wide range of situations across dimensions, temperatures, interaction strengths, and more. These generic quantum many-body systems present a computational challenge shared by nearly all areas of physics: from quantum chemistry to condensed matter, nuclear physics, and quantum chromodynamics. To meet that challenge, we develop new algorithms and adapt methods from other areas.
Starting sometime in 2023, the group’s interests shifted toward the application of mathematical tools and physical principles, coupled with computational methods, to the study of biological systems with a focus on oncology.