Quantum correlations and speed limit of central spin system

TL;DR

This paper investigates how quantum correlations and the size of spin baths influence the quantum speed limit in central spin systems, providing insights into their dynamical behavior and potential for quantum information processing.

Contribution

It introduces a detailed analysis of quantum speed limits and correlations in single and two-qubit central spin models with different bath interactions.

Findings

Quantum speed limit depends on bath size and interaction type.

Quantum correlations vary with bath conditions and influence system dynamics.

QSL time can be used to analyze quantum correlation evolution.

Abstract

In this article, we consider single, and two-qubit central spin systems interacting with spin baths and discuss their dynamical properties. We consider the cases of interacting and non-interacting spin baths and investigate the quantum speed limit (QSL) time of evolution. The impact of the size of the spin bath on the quantum speed limit for a single qubit central spin model is analyzed. We estimate the quantum correlations for (non-)interacting two central spin qubits and compare their dynamical behaviour with that of QSL time under various conditions. We show how QSL time could be availed to analyze the dynamics of quantum correlations.