TY - JOUR KW - quantum benchmarking KW - quantum simulation AU - Arghavan Safavi-Naini AU - Robert Lewis-Swan AU - Justin Bohnet AU - Martin Gärttner AU - Kevin Gilmore AU - J. Jordan AU - J. Cohn AU - J. Freericks AU - Ana Maria Rey AU - John Bollinger AB - 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. BT - Physical Review Letters DA - 2018-07 DO - 10.1103/PhysRevLett.121.040503 N2 - 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. PY - 2018 T2 - Physical Review Letters TI - Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition UR - https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.121.040503 VL - 121 SN - 0031-9007 ER -