  We study quantum entanglement and its relation to transport in a
non-equilibrium interacting double dot system connected to electronic baths.
The dynamical properties in the non-interacting regime are studied using an
exact numerical approach whereas the steady state properties are obtained
following the well-known non-equilibrium Green's function (NEGF) approach. By
means of mutual information and concurrence we explore the connection between
the quantum correlations in the system and the current flowing through the
dots. It is observed that entanglement between the dots is heavily influenced
by the degeneracy or the lack thereof, of the dot levels. In the non-degenerate
case, the concurrence falls sharply when the applied bias crosses a certain
critical value. In contrast when the dot energy levels are degenerate, the
concurrence reaches a very high asymptotic value of 1/2. When interactions are
switched on, the degeneracy is lifted, and once again concurrence falls to zero
beyond a critical value of the applied bias. Lastly it is observed that the
concurrence can be made to reach almost the value of 1.0 if the chemical
potential in both baths is made very large (while keeping the sign the same)
provided the dot levels are kept degenerate within the non-interacting limit. A
combination of NEGF method, brute-force numerics and asymptotics are employed
to corroborate our findings.
