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We show how a quantum Ising spin chain in a time-dependent transversemagnetic field can be simulated and experimentally probed in the framework ofcircuit QED with current technology. The proposed setup provides a new platformfor observing the nonequilibrium dynamics of interacting many-body systems. Wecalculate its spectrum to offer a guideline for its initial experimentalcharacterization. We demonstrate that quench dynamics and the propagation oflocalized excitations can be observed with the proposed setup and discussfurther possible applications and modifications of this circuit QED quantumsimulator.

Observing the Nonequilibrium Dynamics of the Quantum Transverse-Field Ising Chain in Circuit QED