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Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition

Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition

We use a self-assembled two-dimensional Coulomb crystal of $\sim 70$ ions in the presence of an external transverse field to engineer a simulator of the Dicke Hamiltonian, an iconic model in quantum optics which features a quantum phase transition between a superradiant/ferromagnetic and a normal/paramagnetic phase. We experimentally implement slow …