Correlating two qubits via common cavity environment

Generation of quantum entanglement between a pair of qubits is studied in a cavity-QED platform. The qubit pair is placed inside a common cavity environment. We show that the relative strength of qubit-photon couplings is crucial for establishing inter-qubit entanglement. Resonance as well as off-resonance between the qubits and photon are considered . For off-resonant case we detect a threshold value of coupling ratio, beyond which maximally entangled state is always available. The resonant case displays interesting non-monotonic behavior, where the maximum entanglement peaks at an intermediate coupling ratio. The driven-dissipative dynamics of our model exhibits non-trivial dependence of steady-state entanglement on the drive strength.