|Title||Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition|
|Publication Type||Journal Article|
|Year of Publication||2018|
|Authors||Safavi-Naini, A, Lewis-Swan, RJ, Bohnet, JG, Gärttner, M, Gilmore, KA, Jordan, JE, Cohn, J, Freericks, JK, Rey, AMaria, Bollinger, JJ|
|Journal||Physical Review Letters|
|Keywords||quantum benchmarking, quantum simulation|
We use a self-assembled two-dimensional Coulomb crystal of ∼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 quenches across the quantum critical point and benchmark the dynamics and the performance of the simulator through extensive theory-experiment comparisons which show excellent agreement. The implementation of the Dicke model in fully controllable trapped ion arrays can open a path for the generation of highly entangled states useful for enhanced metrology and the observation of scrambling and quantum chaos in a many-body system.