A new approach for studying large numbers of fermions in the unitary regime

TL;DR

This paper introduces a novel lattice method for simulating large systems of interacting nonrelativistic fermions near unitarity, enabling accurate studies of strongly coupled regimes relevant to atomic and nuclear physics.

Contribution

The paper presents a new lattice approach tailored for efficient numerical simulation of many-fermion systems at unitarity, expanding computational capabilities in this challenging regime.

Findings

Able to simulate up to 38 fermions with high accuracy

Efficient computational method suitable for strongly coupled fermion systems

Applicable to atomic traps and nuclear physics models

Abstract

A novel lattice approach is presented for studying systems comprising a large number of interacting nonrelativistic fermions. The construction is ideally suited for numerical study of fermions near unitarity--a strongly coupled regime corresponding to the two-particle s-wave scattering phase shift delta_0 = pi/2. Such systems may be achieved experimentally with trapped atoms, and provide a starting point for an effective field theory description of nuclear physics. We discuss the construction of our lattice theory, which allows us to study systems of up to (but by no means limited to) 38 fermions with high accuracy and modest computational resources, and offer an overview of several applications of the technique. A more detailed discussion of applications and simulation results will be described in companion proceedings by A. N. N. and J-W. L.