Engineering entanglement in two interacting Brownian particles through nonequilibrium driving

Investigation of the emergence of entanglement in a classical two-particle Brownian system through nonequilibrium driving is carried out. The Brownian particles are in contact with independent thermal bath, where one particle is driven by a time-dependent potential and the other remains in a static harmonic trap. The particles are harmonically coupled, enabling thermal correlation and information exchange. Using stochastic simulations, we compute an entanglement witness based on osmotic velocities and position correlations. We show that stronger driving enhances entanglement generation, with protocol-specific features. Thermodynamic quantities such as entropy production and the Jarzynski equality are also examined, revealing a close link between nonequilibrium control and classical entanglement in mesoscopic systems.