@article{4224, keywords = {quantum benchmarking, quantum simulation}, author = {Arghavan Safavi-Naini and Robert Lewis-Swan and Justin Bohnet and Martin Gärttner and Kevin Gilmore and J. Jordan and J. Cohn and J. Freericks and Ana Maria Rey and John Bollinger}, title = {Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition}, abstract = {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.}, year = {2018}, journal = {Physical Review Letters}, volume = {121}, month = {2018-07}, issn = {0031-9007}, url = {https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.121.040503}, doi = {10.1103/PhysRevLett.121.040503}, }