  In this work we study the steady state entanglement between two qubits
interacting asymetrically with a common non-Markovian environment. Depending on
the initial two-qubit state, the asymmetry in the couplings between each qubit
and the non-Markovian environment may lead to enhanced entanglement in the
steady state of the system, measured in terms of the two-qubit concurrence. Our
results indicate that, if a qubit-qubit interaction is also present, the
two-qubit steady state concurrence is always favored by the symmetric or
anti-symmetric coupling configuration. Although finite, the steady concurrence
is predicted to be highly unstable in this regime as long as the interaction
between the two qubits is larger than the couplings between each qubit and the
non-Markovian reservoir.
