Application of the Kronecker product to simple spin systems

TL;DR

This paper demonstrates how the Kronecker product can be effectively used to construct matrix representations of spin Hamiltonians, simplifying the process by eliminating the need for explicit basis sets.

Contribution

It introduces a novel application of the Kronecker product for constructing spin Hamiltonian matrices without explicit basis sets.

Findings

Kronecker product simplifies matrix construction

Applied to isotropic and anisotropic spin models

Avoids explicit basis set calculations

Abstract

We show that the well known Kronecker product is a suitable tool for the construction of matrix representations of widely used spin Hamiltonians. In this way we avoid the explicit use of basis sets for the construction of the matrix elements. As illustrative examples we discuss two isotropic models and an anisotropic one.