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

Author
Abstract
<p>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.</p>
Year of Publication
2018
Journal
Physical Review Letters
Volume
121
Date Published
2018-07
ISSN Number
0031-9007
URL
https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.121.040503
DOI
10.1103/PhysRevLett.121.040503
JILA PI
Journal Article