# Heisenberg spin networks for realizing quantum battery with the aid of Dzyaloshinskii Moriya interaction

## TL;DR

This paper explores how different geometrical arrangements of Heisenberg spin networks, enhanced with Dzyaloshinskii Moriya interaction, can improve quantum battery performance by increasing ergotropy and maintaining ideal charging behavior.

## Contribution

It introduces new configurations of spin networks and demonstrates how Dzyaloshinskii Moriya interaction enhances energy storage and charging efficiency in quantum batteries.

## Key findings

- DMI increases ergotropy in XXZ models, especially in supercube configurations.
- Symmetric geometries like tetrahedron and icosahedron maintain sinusoidal charging behavior.
- Structural symmetry and coordination are key for scalable quantum battery design.

## Abstract

This work investigates the energy storage properties of quantum spin chains in the context of quantum batteries by introducing Heisenberg spin network models organized into different configurations, open, closed, supercube geometries, and c regular graphs. The charging dynamics of these systems are examined using Hamiltonians that include contributions from the battery, spin spin interactions, and a transverse magnetic field. Incorporating the Dzyaloshinskii Moriya interaction into the charging Hamiltonian is found to enhance the ergotropy in the XXZ model, particularly for the supercube configuration, thereby improving quantum battery performance. To explore the role of structural variations, we extend our study to c regular graphs with system sizes ranging from 3 to 12 qubits, including highly symmetric geometries such as the tetrahedron, octahedron, and icosahedron. These analyzes reveal that such symmetric structures retain ideal sinusoidal charging discharging behavior when DMI is tuned appropriately, establishing symmetry and coordination as key principles for scalable quantum battery architectures.