In　this　paper,　we　propose　a　protocol　to　accelerate　a　weak　nonlinear　quantum　process:　a　single　photon　simultaneously　excites　two　atoms　using　shortcut　to　adiabaticity.　We　consider　a　physical　model　composed　of　a　transmission-line　resonator　and　two　flux　qubits,　where　the　frequency　of　the　resonator　is　approximately　equal　to　the　sum　of　the　frequencies　of　the　two　qubits.　Using　unitary　transformation　and　a　series　of　approximate　methods,　the　system　can　be　reduced　to　an　equivalent　two-level　model.　Since　this　transition　is　a　weak　high-order　process,　it　is　relatively　sensitive　to　errors　and　decoherence.　To　overcome　the　flaws,　we　use　the　shortcut　to　adiabaticity　method　based　on　Lewis-Riesenfeld　invariant　for　inverse　engineering　of　the　effective　Hamiltonian,　so　that　the　transition　rate　can　be　accelerated.　The　robustness　of　the　system　against　noise　and　decoherence　can　be　improved.　Therefore,　the　protocol　we　proposed　can　be　applicable　to　quantum　information　processing　and　quantum　optics　in　the　microwave　regime.　©　2025　Astro　Ltd.　All　rights,　including　for　text　and　data　mining,　AI　training,　and　similar　technologies,　are　reserved.