Correlation functions of integrable models: a description of the ABACUS algorithm

TL;DR

This paper details the ABACUS algorithm for calculating dynamical correlation functions in integrable models like spin chains and atomic gases, highlighting its universal approach based on Bethe Ansatz techniques.

Contribution

It provides a comprehensive description of the ABACUS library implementation, unifying the calculation of correlation functions across different integrable systems.

Findings

Implementation of ABACUS enables efficient calculations of correlation functions.

Universal treatment simplifies analysis of various integrable models.

Facilitates comparison between theoretical predictions and experimental data.

Abstract

Recent developments in the theory of integrable models have provided the means of calculating dynamical correlation functions of some important observables in systems such as Heisenberg spin chains and one-dimensional atomic gases. This article explicitly describes how such calculations are generally implemented in the ABACUS C++ library, emphasizing the universality in treatment of different cases coming as a consequence of unifying features within the Bethe Ansatz.