We consider generating maximally entangled states (Bell states) between two
qubits coupled to a common bosonic mode, based on f-STIRAP. Utilizing the
systematic approach developed in New J. Phys. 19 093016 (2017), we quantify the
effects of non-adiabatic leakage and system dissipation on the entanglement
generation, and optimize the entanglement by balancing non-adiabatic leakage
and system dissipation. We find the analytical expressions of the optimal
coupling profile, the operation time, and the maximal entanglement. Our
findings have broad applications in quantum state engineering, especially in
solid-state devices where dissipative effects cannot be neglected