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The generalized Rabi model (gRM) with both one- and two-photon coupling terms has been successfully implemented in circuit quantum electrodynamics systems. In this paper, we examine theoretically multiphoton resonances in the gRM and derive their effective Hamiltonians. We show that all three- to six-photon resonances can be achieved by involving two intermediate states with different detunings in the system. Furthermore, we study the interplay between multiphoton resonance and chiral transport of photon Fock states in a resonator junction with broken time-reversal symmetry. Depending on the qubit-photon interaction and photon-hopping amplitude, we find that the ultrastrong-coupling system can demonstrate different short-time dynamics.
Ken K. W. (Tue,) studied this question.