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The paradigmatic spin-boson model considers a spin degree of freedominteracting with an environment typically constituted by a continuum of bosonicmodes. This ubiquitous model is of relevance in a number of physical systemswhere, in general, one has neither control over the bosonic modes, nor theability to tune distinct interaction mechanisms. Despite this apparent lack ofcontrol, we present a suitable transformation that approximately maps thespin-boson dynamics into that of a tunable multiphoton Jaynes-Cummings modelundergoing dissipation. Interestingly, the latter model describes the coherentinteraction between a spin and a single bosonic mode via the simultaneousexchange of n bosons per spin excitation. Resorting to the so-called reactioncoordinate method, we identify a relevant collective bosonic mode in theenvironment which is then used to generate multiphoton interactions followingthe proposed theoretical framework. Moreover, we show that spin-boson modelsfeaturing structured environments can lead into non-Markovian multiphotonJaynes-Cummings dynamics. We discuss the validity of the proposed methoddepending on the parameters and analyze its performance, which is supported bynumerical simulations. In this manner, the spin-boson model serves as a goodanalog quantum simulator for the inspection and realization of multiphotonJaynes-Cummings models as well as the interplay of non-Markovian effects, andthus, as a simulator of light-matter systems with tunable interactionmechanisms.

Spin-boson model as a simulator of non-Markovian multiphoton Jaynes-Cummings models