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We study the steady state entanglement and correlations of an open systemcomprised of two coupled fermions in the equilibrium or nonequilibriumenvironments and distill the nonequilibrium contribution to the quantumcorrelations. We show that in the equilibrium condition, the steady-statequantum correlations exhibit non-monotonic behavior, while in thenonequilibrium case, the monotonicity is determined by many parameters. Theentanglement vanishes abruptly upon the increase of the temperature (bias) andchemical potential bias, it witnesses a critical chemical potential above whichthe concurrence always remains positive. In the fermionic reservoirs, quantumcorrelations reach the maximal values when one chemical potential of thereservoirs matches to the system frequency. We separate the quantum correlationgeneration due to the averaged effect from the pure nonequilibrium effect. Incontrast with the previous results, when the averaged effect is separated out,the nonequilibrium generation of quantum correlation shows a distinctivemonotonic behavior. The difference between the large-tunneling regime withdecaying correlations and the small-tunneling with increasing correlations isdiscussed. Near the boundary of the two regimes, the entanglement behavior is amixture of two extremes, it resurrects with the increase of chemical potentialbias after its previous drop to zero.

physical review. a/physical review, a

Nonequilibrium Effects on Quantum Correlations: Discord, Mutual  Information and Entanglement of a Two-Fermionic System in Bosonic and  Fermionic Environments