Spin-1 models in the ultrastrong coupling regime of circuit QED. (arXiv:1709.09901v2 [quant-ph] UPDATED)

We propose a superconducting circuit platform for simulating spin-1 models.
To this purpose we consider a chain of N ultrastrongly coupled qubit-resonator
systems interacting through a grounded SQUID. The anharmonic spectrum of the
qubit-resonator system and the selection rules imposed by the global parity
symmetry allow us to activate well controlled two-body quantum gates via
AC-pulses applied to the SQUID. We show that our proposal has the same
simulation time for any number of spin-1 interacting particles. This scheme may
be implemented within the state-of-the-art circuit QED in the ultrastrong
coupling regime.

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