Engineering magnon lasing in full quantum regime

We develop an analytical approach for steady-state normal-ordered magnon moments (NOMMs) in a driven-dissipative magnon-qubit system with coherent and dissipative couplings, and further benchmark it against the full quantum master-equation simulations of mean magnon number and second-order intensity correlation function, g ( 2 ) ( 0 ) . Specifically, we first show that strong coherent coupling alone can produce an intermediate-pump magnon-lasing-like emission window, identified by a small-signal stability criterion and characterized by near-Poissonian statistics [ g ( 2 ) ( 0 ) ≃ 1 ] and pronounced linewidth narrowing. For dissipative coupling alone, the magnon emission exhibits nonclassical antibunching [ g ( 2 ) ( 0 ) < 1 ] at the optimal mean magnon number and features a large pump-tunable spectral linewidth. In the hybrid dissipative and weak-coherent-coupling regime, the dissipative channel can substantially enhance the steady-state mean magnon number while simultaneously inducing strong magnon antibunching, with g ( 2 ) ( 0 ) ≪ 1 . The results obtained here may find potential applications in microwave-magnonic and related hybrid quantum platforms, and the analytical NOMM method could also provide a route to treating other driven open boson-fermion systems.