Solitary waves on finite-size antiferromagnetic quantum Heisenberg spin rings

TL;DR

This paper explores the possibility of magnetic solitary waves in finite-size antiferromagnetic quantum Heisenberg spin rings by solving the time-dependent Schrödinger equation through exact diagonalization.

Contribution

It introduces a quantum approach to identify solitary wave solutions in small spin systems where classical methods are inapplicable.

Findings

Existence of solitary wave solutions in finite quantum spin rings

Demonstration that the Schrödinger equation admits localized wave solutions

Insights into quantum dynamics of molecular spin systems

Abstract

Motivated by the successful synthesis of several molecular quantum spin rings we are investigating whether such systems can host magnetic solitary waves. The small size of these spin systems forbids the application of a classical or continuum limit. We therefore investigate whether the time-dependent Schroedinger equation itself permits solitary waves. Example solutions are obtained via complete diagonalization of the underlying Heisenberg Hamiltonian.