2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124385We give a quantum master equation description of the measurement scheme based on a coplanar microwave cavity capacitively coupled to nano mechanical resonator. The system exhibits a rich bifurcation structure that is analogous to sub/second harmonic generation in nonlinear optics. We show how it may be configured as a bifurcation amplifier transducer for weak force detection.to be published as Proceedings of QCMC06Mesoscale and Nanoscale PhysicsSuperconductivitytext