Efficient few-body calculations in finite volume

TL;DR

This paper discusses recent advances in finite-volume simulations of few-body quantum systems, emphasizing efficient numerical methods and volume extrapolation techniques applicable in nuclear physics and cold atomic systems.

Contribution

It introduces an efficient numerical implementation of separable interactions and presents eigenvector continuation as a novel method for volume extrapolations in finite-volume simulations.

Findings

Improved numerical implementation of separable interactions

Eigenvector continuation enables robust volume extrapolations

Enhances accuracy of finite-volume quantum simulations

Abstract

Simulating quantum systems in a finite volume is a powerful theoretical tool to extract information about them. Real-world properties of the system are encoded in how its discrete energy levels change with the size of the volume. This approach is relevant not only for nuclear physics, where lattice methods for few- and many-nucleon states complement phenomenological shell-model descriptions and ab initio calculations of atomic nuclei based on harmonic oscillator expansions, but also for other fields such as simulations of cold atomic systems. This contribution presents recent progress concerning finite-volume simulations of few-body systems. In particular, it discusses details regarding the efficient numerical implementation of separable interactions and it presents eigenvector continuation as a method for performing robust and efficient volume extrapolations.