Exactly solvable model for the dynamics of two spin-1/2 particles embedded in separate spin star environments

TL;DR

This paper presents an exact analytical model for the dynamics of two interacting spin-1/2 particles each coupled to separate spin star environments, analyzing how their entanglement and purity evolve over time.

Contribution

It introduces a solvable model for two qubits in separate spin baths, providing insights into their dynamical behavior and steady states with qubit-qubit interactions.

Findings

Concurrence and purity dynamics are characterized for finite and infinite environments.

Qubit-qubit interactions influence the steady state of the system.

Analytical solutions reveal the role of environmental size on system evolution.

Abstract

Exact analytical results for the dynamics of two interacting qubits each of which is embedded in its own spin star bath are presented. The time evolution of the concurrence and the purity of the two-qubit system is investigated for finite and infinite numbers of environmental spins. The effect of qubit-qubit interactions on the steady state of the central system is investigated