Lattice simulations for few- and many-body systems

TL;DR

This paper reviews recent advances in lattice simulation methods combining effective field theory for studying cold atoms and low-energy nucleons, highlighting common computational approaches and results across different physical systems.

Contribution

It provides a comprehensive overview of lattice effective field theory applications in cold atom and nuclear physics, emphasizing methodological developments and cross-system themes.

Findings

Lattice simulations effectively model cold atom systems.

Nuclear physics simulations incorporate pions and low-energy interactions.

Common computational algorithms unify different physical applications.

Abstract

We review the recent literature on lattice simulations for few- and many-body systems. We focus on methods and results that combine the framework of effective field theory with computational lattice methods. Lattice effective field theory is discussed for cold atoms as well as low-energy nucleons with and without pions. A number of different lattice formulations and computational algorithms are considered, and an effort is made to show common themes in studies of cold atoms and low-energy nuclear physics as well as common themes in work by different collaborations.