Doubly excited ferromagnetic spin-chain as a pair of coupled kicked rotors

TL;DR

This paper models the dynamics of a doubly-excited ferromagnetic spin chain as a pair of coupled quantum kicked rotors, exploring how anisotropy influences magnon interactions and state transfer capabilities.

Contribution

It introduces a novel analogy between a ferromagnetic spin chain and coupled quantum kicked rotors, analyzing the impact of anisotropy on magnon coupling and quantum state transfer.

Findings

Anisotropy controls the coupling strength between magnons.

The model enables control over whether spin excitations are transmitted together or separately.

The approach offers insights into quantum state transfer in spin chains.

Abstract

We show that the dynamics of a doubly-excited 1D Heisenberg ferromagnetic chain, subject to short pulses from a parabolic magnetic field may be analyzed as a pair of quantum kicked rotors. By focusing on the two-magnon dynamics in the kicked XXZ model we investigate how the anisotropy parameter - which controls the strength of the magnon-magnon interaction - changes the nature of the coupling between the two "image" coupled Kicked Rotors. We investigate quantum state transfer possibilities and show that one may control whether the spin excitations are transmitted together, or separate from each other.