Solution of three-dimensional Faddeev equations: ultracold Helium trimer calculations with a public quantum three-body code

TL;DR

This paper demonstrates a user-friendly quantum three-body code that accurately solves three-dimensional Faddeev equations, enabling precise calculations of ultracold Helium trimer systems.

Contribution

It introduces a publicly available, easy-to-use computational tool for solving quantum three-body problems with high accuracy, validated on Helium trimer.

Findings

Successfully reproduces known Helium trimer ground state results

Provides a practical tool for quantum three-body calculations

Enhances accessibility of complex three-body problem solutions

Abstract

We present an illustration of using a quantum three-body code being prepared for public release. The code is based on iterative solving of the three-dimensional Faddeev equations. The code is easy to use and allows users to perform highly-accurate calculations of quantum three-body systems. The previously known results for He$_3$ ground state are well reproduced by the code.