Abstract
Computational quantum physics has recently seen a dramatic increase in its capabilities, precision, and predictive power. The advances have been driven by method and code development, benchmark, and collaboration. Together with exciting recent progress in cold atoms on the experimental front, we are presented with unique opportunities for a new level of synergy to address a variety of long-standing questions in quantum matter. I will describe some of the computational developments from the perspective of auxiliary-field quantum Monte Carlo methods, and then illustrate the potential for computation-experiment synergy with several examples, including the BCS-BEC crossover in the Fermi gas, and the physics of the Hubbard model - both in the usual context of high-temperature superconductivity and in possible FFLO (Fulde–Ferrell–Larkin–Ovchinnikov) pairing which can be studied with optical lattices.
