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

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.

30 pages, 8 figures, Proceedings of the CRM (Montreal) workshop on Integrable Quantum Systems and Solvable Statistical Mechanics Models

References in corpus (3)

• Dynamical density-density correlations in the one-dimensional Bose gas
• Deformed strings in the Heisenberg model
• The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain

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