  The connectivity and tunability of superconducting quantum devices provide a
rich platform to build quantum simulators and study novel many-body physics.
Here we study quantum phase transition in a detuned multi-connected
Jaynes-Cummings lattice, which can be constructed with superconducting
circuits. This model is composed of alternatively connected qubits and cavity
modes. Using a numerical method, we show that by varying the detuning between
the qubits and the cavities, a phase transition from the superfluid phase to
the Mott insulator phase occurs at commensurate fillings in a one-dimensional
array. We study the phase transition in lattices with symmetric and asymmetric
couplings, respectively.
