Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

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



Arghavan Safavi-Naini, R. J. Lewis-Swan, Justin G. Bohnet, M. Garttner, Kevin Gilmore, Elena Jordan, J. Cohn, James K. Freericks, Ana Maria Rey, John Bollinger


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.
Physical Review Letters


Dicke model, Penning trap, quantum quench, quantum simulation, scrambling, trapped ions


Safavi-Naini, A. , Lewis-Swan, R. , Bohnet, J. , Garttner, M. , Gilmore, K. , Jordan, E. , Cohn, J. , Freericks, J. , Rey, A. and Bollinger, J. (2018), Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition, Physical Review Letters, [online], (Accessed June 17, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created July 26, 2018, Updated October 12, 2021